Tetsutaro Shibata

Last Updated :2024/12/02

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor
E-mail
tshibatahiroshima-u.ac.jp
Self-introduction
.The field of my research is nonlinear eigenvalue problems on differential equations. Especially, I am interested in the asymptotic and global behavior of the bifurcation curves.

Basic Information

Academic Degrees

  • Doctor of Science, Tokyo Metropolitan University
  • Master of Science, Tokyo Metropolitan University

Educational Activity

  • [Bachelor Degree Program] School of Engineering : Cluster 2(Electrical, Electronic and Systems Engineering)
  • [Master's Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Electrical, Systems, and Control Engineering Program
  • [Master's Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Smart Innovation Program
  • [Doctoral Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Electrical, Systems, and Control Engineering Program
  • [Doctoral Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Smart Innovation Program

Research Fields

  • Mathematical and physical sciences;Mathematics;Mathematical analysis

Research Keywords

  • Eigenvalue
  • Elliptic
  • Nonlinear

Educational Activity

Course in Charge

  1. 2024, Undergraduate Education, 2Term, Applied Mathematics III
  2. 2024, Undergraduate Education, 1Term, Engineering Mathematics A
  3. 2024, Graduate Education (Master's Program) , 1Term, Special Exercises on Electrical, Systems, and Control Engineering A
  4. 2024, Graduate Education (Master's Program) , 2Term, Special Exercises on Electrical, Systems, and Control Engineering A
  5. 2024, Graduate Education (Master's Program) , 3Term, Special Exercises on Electrical, Systems, and Control Engineering B
  6. 2024, Graduate Education (Master's Program) , 4Term, Special Exercises on Electrical, Systems, and Control Engineering B
  7. 2024, Graduate Education (Master's Program) , Academic Year, Special Study on Electrical, Systems, and Control Engineering
  8. 2024, Graduate Education (Master's Program) , 3Term, Mathematics C
  9. 2024, Graduate Education (Doctoral Program) , Academic Year, Special Study on Electrical, Systems, and Control Engineering

Research Activities

Academic Papers

  1. ASYMPTOTIC BEHAVIOR OF BIFURCATION CURVE OF NONLINEAR EIGENVALUE PROBLEM WITH LOGARITHMIC NONLINEARITY, TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 60(1), 99-110, 202209
  2. Global bifurcation curves of nonlocal elliptic equations with oscillatory nonlinear term, ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 1-17, 20231227
  3. Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations, BOUNDARY VALUE PROBLEMS, 2022(1), 20220905
  4. Asymptotics of Solution Curves of Kirchhoff Type Elliptic Equations with Logarithmic Kirchhoff Function, QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 22(2), 202306
  5. Global and asymptotic behaviors of bifurcation curves of one-dimensional nonlocal elliptic equations, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 516(2), 20221215
  6. Bifurcation diagrams of one-dimensional Kirchhoff-type equations, ADVANCES IN NONLINEAR ANALYSIS, 12(1), 356-368, 20220909
  7. Asymptotic behavior of solutions to the perturbed simple pendulum problems with two parameters, MATHEMATISCHE NACHRICHTEN, 280(4), 451-462, 2007
  8. Precise asymptotic shapes of solutions to nonlinear two-parameter problems, RESULTS IN MATHEMATICS, 50(3-4), 259-273, 2007
  9. New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems, JOURNAL D ANALYSE MATHEMATIQUE, 102, 347-358, 200708
  10. Asymptotic behavior of bifurcation branch of positive solutions for semilinear Sturm-Liouville problems, ANNALES HENRI POINCARE, 9(6), 1217-1227, 200810
  11. L-q-inverse spectral problems for semilinear Sturm-Liouville problems, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 69(10), 3601-3609, 20081115
  12. Inverse bifurcation problems for nonlinear Sturm-Liouville problems, INVERSE PROBLEMS, 27(5), 201105
  13. Precise asymptotic formulas for variational eigencurves of semilinear two-parameter elliptic eigenvalue problems, Annali di Matematica Pura ed Applicata, 182, 211-229, 20030401
  14. Variational method for precise asymptotic formulas for nonlinear eigenvalue problems, Results in Mathematics, 46(1-2), 130-145, 20040401
  15. Asymptotic shapes of solutions to nonlinear eigenvalue problems, Electronic J. Differential Equations., 2005(37), 1-16, 20050401
  16. On spectral asymptotics for nonlinear Sturm-Liouville problems, Journal of Mathematical Analysis and Applications, 203, 874-890, 19960401
  17. Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems, Bulletin of the Belgian Mathematical Society, 3, 501-515, 19960401
  18. Variational eigencurve and bifurcation for two-parameter nonlinear Sturm-Liouville equations, Topological Methods in Nonlinear Analysis, 8, 79-93, 19960401
  19. Spectral asymptotics and bifurcation for two parameter nonlinear elliptic eigenvalue problems, Ricerche di Matematica, 45, 67-83, 19960401
  20. Two-parameter eigenvalue problems in nonlinear second order differential equations, Results in Mathematics, 31(1-2), 136-147, 19970401
  21. Nonlinear multiparameter eigenvalue problems on general level sets, 29, 823-837, 19970401
  22. Spectral asymptotics for nonlinear non-autonomous elliptic eigenvalue problems, Applicable Analysis, 64, 379-390, 19970401
  23. Variational Methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball, Rocky Mountain Journal of Mathematics, 27, 343-358, 19970401
  24. Spectral asymptotics of nonlinear multiparameter Sturm-Liouville problems, Differential and Integral Equations, 10(4), 625-648, 19970401
  25. Variational methods for nonlinear multiparameter elliptic eigenvalue problems, Nonlinearity, 10, 1319-1329, 19970401
  26. Variational methods in nonlinear two-parameter eigenvalue problems, Bollettino della Matematica Italiana (7), 11-B, 539-562, 19970401
  27. Multiparameter variational eigenvalue problems with indefinite nonlinearity, Canadian Journal of Mathematics, 49, 1066-1088, 19970401
  28. Two-parameter nonlinear Sturm-Liouville problems, Proceedings of the Edinburgh Mathematical Society, 41, 225-245, 19980401
  29. Asymptotic profiles of variational eigenvalues of two parameter nonlinear Sturm-Liouville problems, Mathematical Methods in Applied Sciences, 21, 1619-1635, 19980401
  30. Nonlinear multiparameter Sturm-Liouville problems, Asymptotic Analysis, 18, 173-192, 19980401
  31. Spectral asymptotics for nonlinear multiparameter problems with indefinite nonlinearities, Czechoslovak Mathematical Journal, 49, 317-340, 19990401
  32. The effect of variational framework on the spectral asymptotics for nonlinear two-parameter problems, Annali della Scuola Normale Superiore di Pisa, 28(3), 545-567, 19990401
  33. Multiple interior layers of solutions to perturbed elliptic sine-Gordon equation on an interval, Topological Methods in Nonlinear Analysis, 15(2), 329-357, 20000401
  34. Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations, Results in Mathematics, 39, 155-168, 20010401
  35. Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems, 66, 277-294, 19950401
  36. Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem, Results in Mathematics, 24, 308-317, 19930401
  37. Asymptotic behavior of the variational eigenvalues for semilinear Sturm-Liouville problems, 18, 929-935, 19920401
  38. Asymptotic properties of variational eigenvalues for semilinear elliptic operators, Bollettino della Unione Matematica Italiana, 2-B, 411-425, 19880401
  39. The relationship between the variational eigenvalues and its critical values for semilinear Sturm-Liouville problems, Bollettino della Unione Matematica Italiana (7), 5-B, 315-325, 19910401
  40. Multiple interior layers of solutions to elliptic sine-Gordon type ODE, 1216, 162-169, 20010401
  41. Asymptotic distribution of eigenvalues of non-symmetric elliptic operators, Tokyo Journal of Mathematics, 11, 21-36, 19880401
  42. Nodal and asymptotic properties of solutions to nonlinear elliptic eigenvalue problems on an general level sets, Israel Journal of Mathematics, 74, 225-240, 19910401
  43. Spectral properties of a two parameter nonlinear Sturm-Liouville problem, Proceedings of the Royal Society of Edinburgh= Section A, 1041-1058, 19930401
  44. Asymptotic behavior of variational eigenfunctions for nonlinear Sturm-Liouville problems, Applicable Analysis, 52, 277-289, 19940401
  45. Asymptotic formula of eigenvalues of sublinear Sturm-Liouville problems, Differential and Integral Equations, 10, 183-200, 19950401
  46. Asymptotics of variational eigenvalues of nonlinear Sturm-Liouville problems with two parameters on general level sets, Asymptotic Analysis, 10, 46-61, 19950401
  47. Spectral asymptotics for nonlinear Sturm-Liouville problems, Forum Mathematicum, 7, 207-224, 19950401
  48. Asymptotic formula of eigenvalues and eigenfunctions of non-autonomous semilinear Sturm-Liouville problems, Mathematische Zeitschrift, 219, 485-497, 19950401
  49. Global $L^2$ bifurcation of nonlinear Sturm-Liouville problems, Zeitschrift fur Angewandte Mathematik und Physik, 46, 859-871, 19950401
  50. Three-term spectral asymptotics for nonlinear Sturm-Liouville problems, Nonlinear Differential Equations and Applications, 9(3), 239-254, 20020401
  51. Asymptotic behavior of solutions to the perturbedsimple pendulum problems with two parameters, Mathematische Nachrichten, 280, 451-462, 20070101
  52. Global behavior of the branch of positive solutionsfor nonlinear Sturm-Liouville problems, Annali di Matematica pura ed Applicata, 186, 525-537, 20070501
  53. Precise spectral asymptotics for nonautonomouslogistic equations of population dynamics in a ball, Abstract and Applied Analysis, 2005(6), 563-573, 20050801
  54. Boundary layer and variational eigencurve in two-parametersingle pendulum type equations, Communications on Pure and Applied Analysis, 5(1), 147-154, 20060101
  55. $L^q$ spectral asymptotics for nonlinear Sturm-Liouville problems, Differential and Integral Equations, 19, 773-783, 20060501
  56. The relationship between two-parameter perturbedsine-Gordon type equation and nonlinear Klein-Gordon equation, Indiana University Mathematics Journal, 55, 1557-1572, 20060601
  57. Asymptotic shape of solutions to the perturbed simplependulum problems, Electronic Journal of Differential Equations, 2007(64), 1-11, 20070101
  58. Inverse spectral problemsfor nonlinear Sturm-Liouville problems, Electronic Journal of Differential Equations, 2007(74), 1-10, 20070601
  59. Asymptotic behavior of $L^q$-norm of solutions to ellipticeigenvalue probelms arising in population dynamics, Proceedings of the Royal Society of Edinburgh, 137A, 1081-1090, 20070801
  60. wo-parameter nonlinear eigenvalue problems, GAKUTO International Series Mathematical Sciences and Applications, 10, 425-430, 19970301
  61. PRECISE ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DAMPED SIMPLE PENDULUM EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 142, 20091101
  62. Spectral asymptotics for inverse nonlinear Sturm-Liouville problems, ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 1-18, 20090101
  63. Asymptotic behaviour of L-q-norm of solutions to elliptic eigenvalue problems arising in population dynamics, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 137, 1081-1090, 20070101
  64. Spectral asymptotics of nonlinear elliptic two-parameter problems, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 43(1), 75-90, 200101
  65. Precise asymptotic formulas for semilinear eigenvalue problems, ANNALES HENRI POINCARE, 2(4), 713-732, 2001
  66. Interior transition layers of solutions to the perturbed elliptic Sine-Gordon equation on an interval, JOURNAL D ANALYSE MATHEMATIQUE, 83, 109-120, 2001
  67. Precise spectral asymptotics for the Dirichlet problem -u ''(t)+g(u(t))=lambda sin u(t), JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 267(2), 576-598, 20020315
  68. Precise spectral asymptotics for nonlinear Sturm-Liouville problems, JOURNAL OF DIFFERENTIAL EQUATIONS, 180(2), 374-394, 20020410
  69. Three-term spectral asymptotics for nonlinear Sturm-Liouville problems, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 9(3), 239-254, 2002
  70. The effect of the variational framework on the spectral asymptotics for two-parameter nonlinear eigenvalue problems, MATHEMATISCHE NACHRICHTEN, 248, 168-184, 2003
  71. Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 283(2), 431-439, 20030715
  72. Asymptotic formulas for boundary layers and eigencurves for nonlinear elliptic eigenvalue problems, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 28(3-4), 581-600, 2003
  73. The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 356(5), 2123-2135, 2004
  74. Precise spectral asymptotics for logistic equations of population dynamics, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 36, 59-64, 200401
  75. INVERSE EIGENVALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 20090910
  76. PRECISE ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DAMPED SIMPLE PENDULUM EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 20091107
  77. THREE-TERM SPECTRAL ASYMPTOTICS FOR THE PERTURBED SIMPLE PENDULUM PROBLEMS, DIFFERENTIAL AND INTEGRAL EQUATIONS, 17(1-2), 215-226, 2004
  78. L-q SPECTRAL ASYMPTOTICS FOR NONLINEAR STURM-LOUIVILLE PROBLEMS, DIFFERENTIAL AND INTEGRAL EQUATIONS, 19(7), 773-783, 200607
  79. Asymptotic expansion of the variational eigencurve for two-parameter simple pendulum-type equations, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 58(3-4), 425-440, 200408
  80. Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 133(9), 2597-2604, 2005
  81. Boundary layer and variational eigencurve in two-parameter single pendulum type equations, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 5(1), 147-154, 200603
  82. Layer structures for the solutions to the perturbed simple pendulum problems, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 315(2), 725-739, 20060315
  83. Three-term asymptotics for the boundary layers of semilinear elliptic eigenvalue problems, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 13(1), 23-41, 2006
  84. Precise spectral asymptotics for nonautonomous logistic equations of population dynamics in a ball, ABSTRACT AND APPLIED ANALYSIS, 563-573, 2005
  85. The relationship between two-parameter perturbed sine-Gordon type equation and nonlinear Klein-Gordon equation, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 55(5), 1557-1572, 2006
  86. Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems, ANNALI DI MATEMATICA PURA ED APPLICATA, 186(3), 525-537, 200707
  87. Asymptotic behaviour of L-q-norm of solutions to elliptic eigenvalue problems arising in population dynamics, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 137, 1081-1090, 2007
  88. Spectral asymptotics for inverse nonlinear Sturm-Liouville problems, ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 1-18, 2009
  89. Local structure of bifurcation curves for nonlinear Sturm-Liouville problems, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 369(2), 583-594, 20100915
  90. Asymptotic Approach to Inverse Bifurcation for Nonlinear Sturm-Liouville Problems, ADVANCED NONLINEAR STUDIES, 12(3), 465-479, 201208
  91. CRITICAL EXPONENTS OF THE ASYMPTOTIC FORMULAS FOR TWO-PARAMETER VARIATIONAL EIGENCURVES, DIFFERENTIAL AND INTEGRAL EQUATIONS, 25(9-10), 899-914, 2012
  92. Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation, ABSTRACT AND APPLIED ANALYSIS, 2012
  93. DIRECT AND INVERSE BIFURCATIONP ROBLEMS FOR NON-AUTONOMOUS LOGISTIC EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 20130510
  94. L-2-INVERSE SPECTRAL PROBLEMS FOR DIFFUSIVE LOGISTIC EQUATIONS OF POPULATION DYNAMICS, ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 43(1), 343-359, 2013
  95. Inverse bifurcation problems for diffusive logistic equation of population dynamics, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 413(1), 495-501, 20140501
  96. S-shaped bifurcation curves for nonlinear two-parameter problems, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 95, 796-808, 201401
  97. Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems, International Journal of Differential Equations, 2015, Article ID 138629, 11 pages-Article ID 138629, 11 pages, 20150107
  98. Asymptotic length of bifurcation curves related to inverse bifurcation problems, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 438(2), 629-642, 20160615
  99. Oscillatory bifurcation for semilinear ordinary differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 44, 1-13, 20161201
  100. GLOBAL AND LOCAL BEHAVIOR OF THE BIFURCATION DIAGRAMS FOR SEMILINEAR PROBLEMS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016(201), 1-11, 20160727
  101. Inverse bifurcation problems for diffusive Holling-Tanner population model, MATHEMATISCHE NACHRICHTEN, 289(14-15), 1934-1945, 20161011
  102. GLOBAL AND LOCAL STRUCTURES OF OSCILLATORY BIFURCATION CURVES WITH APPLICATION TO INVERSE BIFURCATION PROBLEM, TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 50(2), 603-622, 201712
  103. Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion, International Journal of Differential Equations, Volume 2018(Article ID 5053415, 7 pages), 1-7, 20180902
  104. GLOBAL BEHAVIOR OF BIFURCATION CURVES FOR THE NONLINEAR EIGENVALUE PROBLEMS WITH PERIODIC NONLINEAR TERMS, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 17(5), 2139-2147, 20180901
  105. ASYMPTOTIC FORMULAS FOR OSCILLATORY BIFURCATION DIAGRAMS OF SEMILINEAR ORDINARY DIFFERENTIAL EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 20190507
  106. Asymptotic Behavior and Global Structure of Oscillatory Bifurcation Diagrams, RESULTS IN MATHEMATICS, 74(4), 201912
  107. Global and local structures of oscillatory bifurcation curves, JOURNAL OF SPECTRAL THEORY, 9(3), 991-1003, 2019
  108. Oscillatory property of solutions to nonlinear eigenvalue problems, ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 1-9, 20190501
  109. ASYMPTOTIC EXPANSION OF OSCILLATORY BIFURCATION CURVES OF ODES WITH NONLINEAR DIFFUSION, DIFFERENTIAL AND INTEGRAL EQUATIONS, 33(5-6), 257-272, 2020
  110. Precise Asymptotics for Bifurcation Curve of Nonlinear Ordinary Differential Equation, MATHEMATICS, 8(8), 202008
  111. Asymptotic Behavior of Solution to Nonlinear Eigenvalue Problem, MATHEMATICS, 8(11), 202011
  112. Simple proof of stationary phase method and application to oscillatory bifurcation problems, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 190, 202001
  113. Global structure of bifurcation curves related to inverse bifurcation problems, Rend. Istit. Mat. Univ. Trieste, 52, 45-64, 2020
  114. Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity, OPEN MATHEMATICS, 19(1), 641-657, 20210728

Invited Lecture, Oral Presentation, Poster Presentation

  1. The first eigenvalue and eigenfunction of the nonlocal one-dimensional elliptic eigenvalue problem, Tetsutaro Shibata, 2024/03/17, Without Invitation, Japanese, The Mathematical Society of Japan, Osaka Metropolitan University
  2. Asymptotic behavior of solutions of nonlocal one-dimensional elliptic equations, Tetsutaro Shibata, 2024/01/20, With Invitation, Japanese, Waseda University
  3. Bifurcation diagrams of one-dimensional nonlocal elliptic equations, Tetsutaro Shibata, 2023/12/14, With Invitation, Japanese
  4. Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations, Tetsutaro Shibata, 2023/09/20, Without Invitation, Japanese, The Mathematical Society of Japan, Tohoku university
  5. Global and asymptotic behaviors of bifurcation curves of one-dimensional nonlocal elliptic equations, Tetsutaro Shibata, 2023 Korea-Japan Workshop on Nonlinear PDEs and Its Applications, 2023/09/08, With Invitation, English, 2023 Korea-Japan Workshop on Nonlinear PDEs and Its Applications, La Valse Hotel (Busan), Korea
  6. Global and asymptotic behaviors of bifurcation curves of one-dimensional nonlocal elliptic equations, Tetsutaro Shibata, 2023/08/31, With Invitation, Japanese, Kenji Wada, Shimane University
  7. Global and asymptotic behaviors of bifurcation curves of one-dimensional nonlocal elliptic equations, 2023/03/15, Without Invitation, Japanese
  8. Bifurcation diagrams of one-dimensional Kirchhoff type equations,, 2023/03/09, Without Invitation, Japanese
  9. Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity,, Tetsutaro Shibata, 2022/09/13, Without Invitation, Japanese
  10. Asymptotic behavior of solution to semilinear eigenvalue problem, Tetsutaro Shibata, 2022/03/28, Without Invitation, Japanese
  11. Bifurcation diagrams of one-dimensional nonlocal elliptic equations, Tetsutaro Shibata, 2022/01/17, With Invitation, Japanese
  12. Global structure of bifurcation curves related to inverse bifurcation problems, Tetsutaro Shibata, 2021/09/14, Without Invitation, Japanese
  13. Precise asymptotics for bifurcation curve of nonlinear ordinary differential equation,, Tetsutaro Shibata, 2021/03/15, Without Invitation, Japanese, Keio University
  14. Asymptotic expansion of oscillatory bifurcation curves of ODEs with nonlinear diffusion, Tetsutaro Shibata, 2020/09/22, Without Invitation, Japanese, Kumamoto University
  15. Simple proof of stationary phase method and application to oscillatory bifurcation problems, Tetsutaro Shibata, Keiichi Kato, Keiichi Kato, 2020/03/16, Without Invitation, Japanese
  16. Asymptotic behavior of bifurcation curves of ODEs with oscillatory nonlinear diffusion, Tetsutaro Shibata, 2019 International Workshop on PDEs and Its Applications, 2019/11/01, With Invitation, English, Inbo Sim, Jeju National University, Korea
  17. Asymptotic behavior of oscillatory bifurcation curves of semilinear ordinary differential equations, Tetsutaro Shibata, 2019/09/17, Without Invitation, Japanese
  18. Asymptotic behavior and global structure of oscillatory bifurcation diagrams, Tetsutaro Shibata, 2019/06/29, With Invitation, Japanese
  19. Direct and inverse bifurcation problems and related topics II, Tetsutaro Shibata, 2019/05/12, With Invitation, Japanese
  20. Direct and inverse bifurcation problems and related topics I, 2019/05/11, With Invitation, Japanese
  21. Global behavior of bifurcation curves and related topics, Tetsutaro Shibata, International Workshop on Nonlinear PDEs 2018 in Okayama, -In honor of Professor Ryuji Kajikiya on his sixtieth birthday-, 2018/12/13, With Invitation, English, Satoshi Tanaka, Okayama International Center, Okayama, Japan
  22. Global behavior of bifurcation curves and related topics, 2018/11/06, Without Invitation, Japanese, Graduate School of Mathematical Sciences, The University of Tokyo, Graduate School of Mathematical Sciences, The University of Tokyo (Komaba, Tokyo)
  23. Oscillatory structures of bifurcation curves for nonlinear eigenvalue problems, Tetsutaro Shibata, Inverse Problems for Partial Differential Equations (In honor of Professor Masaru Ikehata on the occasion of his 60th Birthday), 2018/08/26, With Invitation, English, Hiromichi Itou, Tokyo University of Science (Kagurazara Campus), Japan
  24. Oscillatory bifurcation for semilinear eigenvalue problems, Tetsutaro Shibata, The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 2018/07/06, With Invitation, English, American Institute of Mathematical Sciences, National Taiwan University, Taipei, Taiwan.
  25. Oscillatory structures of bifurcation curves for nonlinear eigenvalue problems, The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 2018/07/06, With Invitation, English, American Institute of Mathematixcal Sciences, National Taiwn University, Taipei, Taiwan.
  26. Oscillatory bifurcation for semilinear ordinary differential equations, Tetsutaro Shibata, 2018/01/29, With Invitation, English
  27. Direct and inverse bifurcation problems for semilinear equations, Tetsutaro Shibata, 2017/11/17, With Invitation, Japanese
  28. Global and local structures of oscillatory bifurcation diagrams, Tetsutaro Shibata, 2017/11/08, With Invitation, English

External Funds

Acceptance Results of Competitive Funds

  1. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2021, 2024
  2. KAKENHI, 2013, 2016
  3. KAKENHI, Asymptotic analysis and inverse problems of the nonlinear elliptic eigenvalue problems, 2009, 2012
  4. KAKENHI, 2017, 2020

Social Activities

Organizing Academic Conferences, etc.

  1. 2018/10, 2018/10