## Shibata, Tetsutaro

Compute Distance To:
 Author ID: shibata.tetsutaro Published as: Shibata, Tetsutaro
 Documents Indexed: 114 Publications since 1983 2 Contributions as Editor Co-Authors: 2 Co-Authors with 3 Joint Publications 122 Co-Co-Authors

### Co-Authors

 110 single-authored 2 Suzuki, Takashi 1 Kato, Keiichi 1 Kugo, M.
all top 5

### Serials

 9 Electronic Journal of Differential Equations (EJDE) 8 Journal of Mathematical Analysis and Applications 7 Results in Mathematics 7 RIMS Kokyuroku 6 Differential and Integral Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Topological Methods in Nonlinear Analysis 3 Journal d’Analyse Mathématique 3 Mathematische Nachrichten 3 Asymptotic Analysis 3 Bollettino della Unione Matemàtica Italiana. Serie VII. B 3 Abstract and Applied Analysis 3 Electronic Journal of Qualitative Theory of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Proceedings of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Annales Henri Poincaré 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 1 International Journal of Heat and Mass Transfer 1 Inverse Problems 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theory of Probability and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Ricerche di Matematica 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 Communications in Partial Differential Equations 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Boundary Value Problems 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 International Journal of Mathematical Analysis (Ruse) 1 International Journal of Differential Equations 1 Journal of Spectral Theory 1 Advances in Nonlinear Analysis 1 Open Mathematics
all top 5

### Fields

 89 Ordinary differential equations (34-XX) 29 Partial differential equations (35-XX) 5 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

55 Publications have been cited 155 times in 72 Documents Cited by Year
Precise spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 1021.34068
Shibata, Tetsutaro
2002
Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems. Zbl 0844.34092
Shibata, Tetsutaro
1995
Asymptotic behavior of the variational eigenvalues for semilinear Sturm- Liouville problems. Zbl 0768.34057
Shibata, Tetsutaro
1992
Global behavior of the branch of positive solutions to a logistic equation of population dynamics. Zbl 1148.34018
Shibata, Tetsutaro
2008
Asymptotic length of bifurcation curves related to inverse bifurcation problems. Zbl 1382.34095
Shibata, Tetsutaro
2016
S-shaped bifurcation curves for nonlinear two-parameter problems. Zbl 1296.34100
Shibata, Tetsutaro
2014
Spectral properties of a two parameter nonlinear Sturm-Liouville problem. Zbl 0811.34017
Shibata, Tetsutaro
1993
Local structure of bifurcation curves for nonlinear Sturm-Liouville problems. Zbl 1200.34044
Shibata, Tetsutaro
2010
Asymptotic properties of variational eigenvalues for semilinear elliptic operators. Zbl 0689.35070
Shibata, Tetsutaro
1988
Oscillatory bifurcation for semilinear ordinary differential equations. Zbl 1363.34054
Shibata, Tetsutaro
2016
Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval. Zbl 0990.34016
Shibata, Tetsutaro
2001
The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems. Zbl 1115.35323
Shibata, T.
2004
Asymptotic formulas for boundary layers and eigencurves for nonlinear elliptic eigenvalue problems. Zbl 1106.35321
Shibata, Tetsutaro
2003
Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems. Zbl 1150.34007
Shibata, Tetsutaro
2007
Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem. Zbl 0783.34020
Shibata, Tetsutaro
1993
Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval. Zbl 0978.34017
Shibata, Tetsutaro
2000
Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations. Zbl 0988.34065
Shibata, Tetsutaro
2001
Precise spectral asymptotics for the Dirichlet problem $$-u''(t)+g(u(t))=\lambda\sin u(t)$$. Zbl 1006.34080
Shibata, Tetsutaro
2002
Global and local structures of oscillatory bifurcation curves with application to inverse bifurcation problem. Zbl 1383.34034
Shibata, Tetsutaro
2017
Inverse eigenvalue problems for semilinear elliptic equations. Zbl 1178.35281
Shibata, Tetsutaro
2009
Precise asymptotic formulas for semilinear eigenvalue problems. Zbl 1010.34018
Shibata, T.
2001
New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems. Zbl 1147.34062
Shibata, Tetsutaro
2007
Variational methods for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0905.35060
Shibata, Tetsutaro
1997
Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems. Zbl 1030.34081
Shibata, Tetsutaro
2003
Global and local structures of oscillatory bifurcation curves. Zbl 1431.34030
Shibata, Tetsutaro
2019
Asymptotic behavior of bifurcation curve for Sine-Gordon-type differential equation. Zbl 1260.34033
Shibata, Tetsutaro
2012
Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0861.35071
Shibata, Tetsutaro
1996
Nodal and asymptotic properties of solutions to nonlinear elliptic eigenvalue problems on general level sets. Zbl 0777.35052
Shibata, Tetsutaro
1991
The relationship between the variational eigenvalues and its critical values for semilinear Sturm-Liouville problems. Zbl 0728.34088
Shibata, Tetsutaro
1991
Three-term asymptotics for the boundary layers of semilinear elliptic eigenvalue problems. Zbl 1146.35368
Shibata, Tetsutaro
2006
$$L^q$$ spectral asymptotics for nonlinear Sturm-Louiville problems. Zbl 1212.34273
Shibata, Tetsutaro
2006
Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems. Zbl 1341.34022
Shibata, Tetsutaro
2015
Global behavior of bifurcation curves for the nonlinear eigenvalue problems with periodic nonlinear terms. Zbl 1397.34042
Shibata, Tetsutaro
2018
Generalization and application of Laplace transformation formulas for diffusion. Zbl 0513.76083
Shibata, T.; Kugo, M.
1983
Investment timing and quantity strategies under asymmetric information. Zbl 1358.91109
Cui, X.; Shibata, T.
2017
Spectral asymptotics for nonlinear multiparameter problems with indefinite nonlinearities. Zbl 0955.34071
Shibata, Tetsutaro
1999
Nonlinear multiparameter eigenvalue problems. Zbl 0930.34065
Shibata, Tetsutaro
1996
Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators. Zbl 0865.35099
Shibata, Tetsutaro
1996
Asymptotic behaviour of variational eigenvalues of the nonlinear elliptic eigenvalue problem in a ball. Zbl 0818.35077
Shibata, Tetsutaro
1994
Spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 0818.34016
Shibata, Tetsutaro
1995
Boundary layer and variational eigencurve in two-parameter single pendulum type equations. Zbl 1144.34314
Shibata, Tetsutaro
2006
Inverse spectral problems for nonlinear Sturm-Liouville problems. Zbl 1140.34307
Shibata, Tetsutaro
2007
Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball. Zbl 0886.35107
Shibata, Tetsutaro
1997
Global $$L^ 2$$-bifurcation of nonlinear Sturm-Liouville problems. Zbl 0848.34016
Shibata, Tetsutaro
1995
Multiparameter variational eigenvalue problems with indefinite nonlinearity. Zbl 0903.34023
Shibata, Tetsutaro
1997
Variational method for precise asymptotic formulas for nonlinear eigenvalue problems. Zbl 1069.34026
Shibata, Tetsutaro
2004
Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems. Zbl 1210.35113
Shibata, Tetsutaro
2005
Asymptotic shape of solutions to nonlinear eigenvalue problems. Zbl 1075.34018
Shibata, Tetsutaro
2005
Precise spectral asymptotics for logistic equations of population dynamics. Zbl 1059.35093
Shibata, Tetsutaro
2004
Inverse bifurcation problems for diffusive logistic equation of population dynamics. Zbl 1316.34023
Shibata, Tetsutaro
2014
Precise asymptotic formulas for variational eigencurves of semilinear two-parameter elliptic eigenvalue problems. Zbl 1096.35098
Shibata, Tetsutaro
2003
Three-term spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 1019.34029
Shibata, Tetsutaro
2002
Evolutionary design of oscillatory genetic networks. Zbl 1202.37122
Kobayashi, Y.; Shibata, T.; Kuramoto, Y.; Mikhailov, A. S.
2010
Simple proof of stationary phase method and application to oscillatory bifurcation problems. Zbl 1431.34027
Kato, Keiichi; Shibata, Tetsutaro
2020
Asymptotic behavior and global structure of oscillatory bifurcation diagrams. Zbl 1423.34041
Shibata, Tetsutaro
2019
Simple proof of stationary phase method and application to oscillatory bifurcation problems. Zbl 1431.34027
Kato, Keiichi; Shibata, Tetsutaro
2020
Global and local structures of oscillatory bifurcation curves. Zbl 1431.34030
Shibata, Tetsutaro
2019
Asymptotic behavior and global structure of oscillatory bifurcation diagrams. Zbl 1423.34041
Shibata, Tetsutaro
2019
Global behavior of bifurcation curves for the nonlinear eigenvalue problems with periodic nonlinear terms. Zbl 1397.34042
Shibata, Tetsutaro
2018
Global and local structures of oscillatory bifurcation curves with application to inverse bifurcation problem. Zbl 1383.34034
Shibata, Tetsutaro
2017
Investment timing and quantity strategies under asymmetric information. Zbl 1358.91109
Cui, X.; Shibata, T.
2017
Asymptotic length of bifurcation curves related to inverse bifurcation problems. Zbl 1382.34095
Shibata, Tetsutaro
2016
Oscillatory bifurcation for semilinear ordinary differential equations. Zbl 1363.34054
Shibata, Tetsutaro
2016
Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems. Zbl 1341.34022
Shibata, Tetsutaro
2015
S-shaped bifurcation curves for nonlinear two-parameter problems. Zbl 1296.34100
Shibata, Tetsutaro
2014
Inverse bifurcation problems for diffusive logistic equation of population dynamics. Zbl 1316.34023
Shibata, Tetsutaro
2014
Asymptotic behavior of bifurcation curve for Sine-Gordon-type differential equation. Zbl 1260.34033
Shibata, Tetsutaro
2012
Local structure of bifurcation curves for nonlinear Sturm-Liouville problems. Zbl 1200.34044
Shibata, Tetsutaro
2010
Evolutionary design of oscillatory genetic networks. Zbl 1202.37122
Kobayashi, Y.; Shibata, T.; Kuramoto, Y.; Mikhailov, A. S.
2010
Inverse eigenvalue problems for semilinear elliptic equations. Zbl 1178.35281
Shibata, Tetsutaro
2009
Global behavior of the branch of positive solutions to a logistic equation of population dynamics. Zbl 1148.34018
Shibata, Tetsutaro
2008
Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems. Zbl 1150.34007
Shibata, Tetsutaro
2007
New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems. Zbl 1147.34062
Shibata, Tetsutaro
2007
Inverse spectral problems for nonlinear Sturm-Liouville problems. Zbl 1140.34307
Shibata, Tetsutaro
2007
Three-term asymptotics for the boundary layers of semilinear elliptic eigenvalue problems. Zbl 1146.35368
Shibata, Tetsutaro
2006
$$L^q$$ spectral asymptotics for nonlinear Sturm-Louiville problems. Zbl 1212.34273
Shibata, Tetsutaro
2006
Boundary layer and variational eigencurve in two-parameter single pendulum type equations. Zbl 1144.34314
Shibata, Tetsutaro
2006
Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems. Zbl 1210.35113
Shibata, Tetsutaro
2005
Asymptotic shape of solutions to nonlinear eigenvalue problems. Zbl 1075.34018
Shibata, Tetsutaro
2005
The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems. Zbl 1115.35323
Shibata, T.
2004
Variational method for precise asymptotic formulas for nonlinear eigenvalue problems. Zbl 1069.34026
Shibata, Tetsutaro
2004
Precise spectral asymptotics for logistic equations of population dynamics. Zbl 1059.35093
Shibata, Tetsutaro
2004
Asymptotic formulas for boundary layers and eigencurves for nonlinear elliptic eigenvalue problems. Zbl 1106.35321
Shibata, Tetsutaro
2003
Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems. Zbl 1030.34081
Shibata, Tetsutaro
2003
Precise asymptotic formulas for variational eigencurves of semilinear two-parameter elliptic eigenvalue problems. Zbl 1096.35098
Shibata, Tetsutaro
2003
Precise spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 1021.34068
Shibata, Tetsutaro
2002
Precise spectral asymptotics for the Dirichlet problem $$-u''(t)+g(u(t))=\lambda\sin u(t)$$. Zbl 1006.34080
Shibata, Tetsutaro
2002
Three-term spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 1019.34029
Shibata, Tetsutaro
2002
Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval. Zbl 0990.34016
Shibata, Tetsutaro
2001
Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations. Zbl 0988.34065
Shibata, Tetsutaro
2001
Precise asymptotic formulas for semilinear eigenvalue problems. Zbl 1010.34018
Shibata, T.
2001
Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval. Zbl 0978.34017
Shibata, Tetsutaro
2000
Spectral asymptotics for nonlinear multiparameter problems with indefinite nonlinearities. Zbl 0955.34071
Shibata, Tetsutaro
1999
Variational methods for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0905.35060
Shibata, Tetsutaro
1997
Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball. Zbl 0886.35107
Shibata, Tetsutaro
1997
Multiparameter variational eigenvalue problems with indefinite nonlinearity. Zbl 0903.34023
Shibata, Tetsutaro
1997
Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0861.35071
Shibata, Tetsutaro
1996
Nonlinear multiparameter eigenvalue problems. Zbl 0930.34065
Shibata, Tetsutaro
1996
Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators. Zbl 0865.35099
Shibata, Tetsutaro
1996
Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems. Zbl 0844.34092
Shibata, Tetsutaro
1995
Spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 0818.34016
Shibata, Tetsutaro
1995
Global $$L^ 2$$-bifurcation of nonlinear Sturm-Liouville problems. Zbl 0848.34016
Shibata, Tetsutaro
1995
Asymptotic behaviour of variational eigenvalues of the nonlinear elliptic eigenvalue problem in a ball. Zbl 0818.35077
Shibata, Tetsutaro
1994
Spectral properties of a two parameter nonlinear Sturm-Liouville problem. Zbl 0811.34017
Shibata, Tetsutaro
1993
Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem. Zbl 0783.34020
Shibata, Tetsutaro
1993
Asymptotic behavior of the variational eigenvalues for semilinear Sturm- Liouville problems. Zbl 0768.34057
Shibata, Tetsutaro
1992
Nodal and asymptotic properties of solutions to nonlinear elliptic eigenvalue problems on general level sets. Zbl 0777.35052
Shibata, Tetsutaro
1991
The relationship between the variational eigenvalues and its critical values for semilinear Sturm-Liouville problems. Zbl 0728.34088
Shibata, Tetsutaro
1991
Asymptotic properties of variational eigenvalues for semilinear elliptic operators. Zbl 0689.35070
Shibata, Tetsutaro
1988
Generalization and application of Laplace transformation formulas for diffusion. Zbl 0513.76083
Shibata, T.; Kugo, M.
1983
all top 5

### Cited by 35 Authors

 44 Shibata, Tetsutaro 5 Chiappinelli, Raffaele 4 Lee, Chiun-Chang 3 Valovik, Dmitry V. 2 Ma, Ruyun 2 Tikhov, S. V. 2 Xu, Man 2 Yan, Baoqiang 1 Agarwal, Ravi P. 1 Delgado, Manuel 1 Gorshkov, Andreĭ Aleksandrovich 1 Huang, Chuangxia 1 Huang, Lihong 1 Júnior, J. R. Santos 1 Kajikiya, Ryuji 1 Kato, Keiichi 1 Kirichuka, A. 1 Kurseeva, Valeria Yu. 1 Morales-Rodrigo, Cristian 1 O’Regan, Donal 1 Ryham, Rolf J. 1 Sadyrbaev, Felix Zh. 1 Sihbata, Tetsutaro 1 Sim, Inbo 1 Smirnov, Yury G. 1 Sonego, Maicon 1 Suárez, Antonio 1 Sumin, Mikhail Iosifovich 1 Tanaka, Satoshi 1 Wang, Zhian 1 Yan, Dongliang 1 Yang, Wen 1 Ye, Fumei 1 Zhang, Hua 1 Zhang, Yu
all top 5

### Cited in 37 Serials

 9 Journal of Mathematical Analysis and Applications 6 Results in Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal d’Analyse Mathématique 3 Rocky Mountain Journal of Mathematics 3 Journal of Differential Equations 3 Advanced Nonlinear Studies 3 Nonlinear Analysis. Theory, Methods & Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Abstract and Applied Analysis 2 Communications on Pure and Applied Analysis 2 Open Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Nonlinearity 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Advances in Difference Equations 1 Complex Variables and Elliptic Equations 1 International Journal of Differential Equations 1 Journal of Spectral Theory 1 Journal of Applied Analysis and Computation 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 SN Partial Differential Equations and Applications
all top 5

### Cited in 12 Fields

 47 Ordinary differential equations (34-XX) 24 Partial differential equations (35-XX) 7 Operator theory (47-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)