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Author ID: shibata.tetsutaro Recent zbMATH articles by "Shibata, Tetsutaro"
Published as: Shibata, Tetsutaro
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

Publications by Year

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
14
2002
Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems. Zbl 0844.34092
Shibata, Tetsutaro
9
1995
Asymptotic behavior of the variational eigenvalues for semilinear Sturm- Liouville problems. Zbl 0768.34057
Shibata, Tetsutaro
7
1992
Global behavior of the branch of positive solutions to a logistic equation of population dynamics. Zbl 1148.34018
Shibata, Tetsutaro
7
2008
Asymptotic length of bifurcation curves related to inverse bifurcation problems. Zbl 1382.34095
Shibata, Tetsutaro
6
2016
S-shaped bifurcation curves for nonlinear two-parameter problems. Zbl 1296.34100
Shibata, Tetsutaro
6
2014
Spectral properties of a two parameter nonlinear Sturm-Liouville problem. Zbl 0811.34017
Shibata, Tetsutaro
6
1993
Local structure of bifurcation curves for nonlinear Sturm-Liouville problems. Zbl 1200.34044
Shibata, Tetsutaro
6
2010
Asymptotic properties of variational eigenvalues for semilinear elliptic operators. Zbl 0689.35070
Shibata, Tetsutaro
5
1988
Oscillatory bifurcation for semilinear ordinary differential equations. Zbl 1363.34054
Shibata, Tetsutaro
5
2016
Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval. Zbl 0990.34016
Shibata, Tetsutaro
5
2001
The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems. Zbl 1115.35323
Shibata, T.
5
2004
Asymptotic formulas for boundary layers and eigencurves for nonlinear elliptic eigenvalue problems. Zbl 1106.35321
Shibata, Tetsutaro
5
2003
Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems. Zbl 1150.34007
Shibata, Tetsutaro
5
2007
Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem. Zbl 0783.34020
Shibata, Tetsutaro
4
1993
Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval. Zbl 0978.34017
Shibata, Tetsutaro
4
2000
Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations. Zbl 0988.34065
Shibata, Tetsutaro
4
2001
Precise spectral asymptotics for the Dirichlet problem \(-u''(t)+g(u(t))=\lambda\sin u(t)\). Zbl 1006.34080
Shibata, Tetsutaro
3
2002
Global and local structures of oscillatory bifurcation curves with application to inverse bifurcation problem. Zbl 1383.34034
Shibata, Tetsutaro
3
2017
Inverse eigenvalue problems for semilinear elliptic equations. Zbl 1178.35281
Shibata, Tetsutaro
3
2009
Precise asymptotic formulas for semilinear eigenvalue problems. Zbl 1010.34018
Shibata, T.
3
2001
New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems. Zbl 1147.34062
Shibata, Tetsutaro
3
2007
Variational methods for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0905.35060
Shibata, Tetsutaro
3
1997
Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems. Zbl 1030.34081
Shibata, Tetsutaro
3
2003
Global and local structures of oscillatory bifurcation curves. Zbl 1431.34030
Shibata, Tetsutaro
3
2019
Asymptotic behavior of bifurcation curve for Sine-Gordon-type differential equation. Zbl 1260.34033
Shibata, Tetsutaro
3
2012
Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0861.35071
Shibata, Tetsutaro
2
1996
Nodal and asymptotic properties of solutions to nonlinear elliptic eigenvalue problems on general level sets. Zbl 0777.35052
Shibata, Tetsutaro
2
1991
The relationship between the variational eigenvalues and its critical values for semilinear Sturm-Liouville problems. Zbl 0728.34088
Shibata, Tetsutaro
2
1991
Three-term asymptotics for the boundary layers of semilinear elliptic eigenvalue problems. Zbl 1146.35368
Shibata, Tetsutaro
2
2006
\(L^q\) spectral asymptotics for nonlinear Sturm-Louiville problems. Zbl 1212.34273
Shibata, Tetsutaro
2
2006
Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems. Zbl 1341.34022
Shibata, Tetsutaro
2
2015
Global behavior of bifurcation curves for the nonlinear eigenvalue problems with periodic nonlinear terms. Zbl 1397.34042
Shibata, Tetsutaro
2
2018
Generalization and application of Laplace transformation formulas for diffusion. Zbl 0513.76083
Shibata, T.; Kugo, M.
1
1983
Investment timing and quantity strategies under asymmetric information. Zbl 1358.91109
Cui, X.; Shibata, T.
1
2017
Spectral asymptotics for nonlinear multiparameter problems with indefinite nonlinearities. Zbl 0955.34071
Shibata, Tetsutaro
1
1999
Nonlinear multiparameter eigenvalue problems. Zbl 0930.34065
Shibata, Tetsutaro
1
1996
Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators. Zbl 0865.35099
Shibata, Tetsutaro
1
1996
Asymptotic behaviour of variational eigenvalues of the nonlinear elliptic eigenvalue problem in a ball. Zbl 0818.35077
Shibata, Tetsutaro
1
1994
Spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 0818.34016
Shibata, Tetsutaro
1
1995
Boundary layer and variational eigencurve in two-parameter single pendulum type equations. Zbl 1144.34314
Shibata, Tetsutaro
1
2006
Inverse spectral problems for nonlinear Sturm-Liouville problems. Zbl 1140.34307
Shibata, Tetsutaro
1
2007
Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball. Zbl 0886.35107
Shibata, Tetsutaro
1
1997
Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems. Zbl 0848.34016
Shibata, Tetsutaro
1
1995
Multiparameter variational eigenvalue problems with indefinite nonlinearity. Zbl 0903.34023
Shibata, Tetsutaro
1
1997
Variational method for precise asymptotic formulas for nonlinear eigenvalue problems. Zbl 1069.34026
Shibata, Tetsutaro
1
2004
Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems. Zbl 1210.35113
Shibata, Tetsutaro
1
2005
Asymptotic shape of solutions to nonlinear eigenvalue problems. Zbl 1075.34018
Shibata, Tetsutaro
1
2005
Precise spectral asymptotics for logistic equations of population dynamics. Zbl 1059.35093
Shibata, Tetsutaro
1
2004
Inverse bifurcation problems for diffusive logistic equation of population dynamics. Zbl 1316.34023
Shibata, Tetsutaro
1
2014
Precise asymptotic formulas for variational eigencurves of semilinear two-parameter elliptic eigenvalue problems. Zbl 1096.35098
Shibata, Tetsutaro
1
2003
Three-term spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 1019.34029
Shibata, Tetsutaro
1
2002
Evolutionary design of oscillatory genetic networks. Zbl 1202.37122
Kobayashi, Y.; Shibata, T.; Kuramoto, Y.; Mikhailov, A. S.
1
2010
Simple proof of stationary phase method and application to oscillatory bifurcation problems. Zbl 1431.34027
Kato, Keiichi; Shibata, Tetsutaro
1
2020
Asymptotic behavior and global structure of oscillatory bifurcation diagrams. Zbl 1423.34041
Shibata, Tetsutaro
1
2019
Simple proof of stationary phase method and application to oscillatory bifurcation problems. Zbl 1431.34027
Kato, Keiichi; Shibata, Tetsutaro
1
2020
Global and local structures of oscillatory bifurcation curves. Zbl 1431.34030
Shibata, Tetsutaro
3
2019
Asymptotic behavior and global structure of oscillatory bifurcation diagrams. Zbl 1423.34041
Shibata, Tetsutaro
1
2019
Global behavior of bifurcation curves for the nonlinear eigenvalue problems with periodic nonlinear terms. Zbl 1397.34042
Shibata, Tetsutaro
2
2018
Global and local structures of oscillatory bifurcation curves with application to inverse bifurcation problem. Zbl 1383.34034
Shibata, Tetsutaro
3
2017
Investment timing and quantity strategies under asymmetric information. Zbl 1358.91109
Cui, X.; Shibata, T.
1
2017
Asymptotic length of bifurcation curves related to inverse bifurcation problems. Zbl 1382.34095
Shibata, Tetsutaro
6
2016
Oscillatory bifurcation for semilinear ordinary differential equations. Zbl 1363.34054
Shibata, Tetsutaro
5
2016
Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems. Zbl 1341.34022
Shibata, Tetsutaro
2
2015
S-shaped bifurcation curves for nonlinear two-parameter problems. Zbl 1296.34100
Shibata, Tetsutaro
6
2014
Inverse bifurcation problems for diffusive logistic equation of population dynamics. Zbl 1316.34023
Shibata, Tetsutaro
1
2014
Asymptotic behavior of bifurcation curve for Sine-Gordon-type differential equation. Zbl 1260.34033
Shibata, Tetsutaro
3
2012
Local structure of bifurcation curves for nonlinear Sturm-Liouville problems. Zbl 1200.34044
Shibata, Tetsutaro
6
2010
Evolutionary design of oscillatory genetic networks. Zbl 1202.37122
Kobayashi, Y.; Shibata, T.; Kuramoto, Y.; Mikhailov, A. S.
1
2010
Inverse eigenvalue problems for semilinear elliptic equations. Zbl 1178.35281
Shibata, Tetsutaro
3
2009
Global behavior of the branch of positive solutions to a logistic equation of population dynamics. Zbl 1148.34018
Shibata, Tetsutaro
7
2008
Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems. Zbl 1150.34007
Shibata, Tetsutaro
5
2007
New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems. Zbl 1147.34062
Shibata, Tetsutaro
3
2007
Inverse spectral problems for nonlinear Sturm-Liouville problems. Zbl 1140.34307
Shibata, Tetsutaro
1
2007
Three-term asymptotics for the boundary layers of semilinear elliptic eigenvalue problems. Zbl 1146.35368
Shibata, Tetsutaro
2
2006
\(L^q\) spectral asymptotics for nonlinear Sturm-Louiville problems. Zbl 1212.34273
Shibata, Tetsutaro
2
2006
Boundary layer and variational eigencurve in two-parameter single pendulum type equations. Zbl 1144.34314
Shibata, Tetsutaro
1
2006
Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems. Zbl 1210.35113
Shibata, Tetsutaro
1
2005
Asymptotic shape of solutions to nonlinear eigenvalue problems. Zbl 1075.34018
Shibata, Tetsutaro
1
2005
The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems. Zbl 1115.35323
Shibata, T.
5
2004
Variational method for precise asymptotic formulas for nonlinear eigenvalue problems. Zbl 1069.34026
Shibata, Tetsutaro
1
2004
Precise spectral asymptotics for logistic equations of population dynamics. Zbl 1059.35093
Shibata, Tetsutaro
1
2004
Asymptotic formulas for boundary layers and eigencurves for nonlinear elliptic eigenvalue problems. Zbl 1106.35321
Shibata, Tetsutaro
5
2003
Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems. Zbl 1030.34081
Shibata, Tetsutaro
3
2003
Precise asymptotic formulas for variational eigencurves of semilinear two-parameter elliptic eigenvalue problems. Zbl 1096.35098
Shibata, Tetsutaro
1
2003
Precise spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 1021.34068
Shibata, Tetsutaro
14
2002
Precise spectral asymptotics for the Dirichlet problem \(-u''(t)+g(u(t))=\lambda\sin u(t)\). Zbl 1006.34080
Shibata, Tetsutaro
3
2002
Three-term spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 1019.34029
Shibata, Tetsutaro
1
2002
Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval. Zbl 0990.34016
Shibata, Tetsutaro
5
2001
Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations. Zbl 0988.34065
Shibata, Tetsutaro
4
2001
Precise asymptotic formulas for semilinear eigenvalue problems. Zbl 1010.34018
Shibata, T.
3
2001
Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval. Zbl 0978.34017
Shibata, Tetsutaro
4
2000
Spectral asymptotics for nonlinear multiparameter problems with indefinite nonlinearities. Zbl 0955.34071
Shibata, Tetsutaro
1
1999
Variational methods for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0905.35060
Shibata, Tetsutaro
3
1997
Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball. Zbl 0886.35107
Shibata, Tetsutaro
1
1997
Multiparameter variational eigenvalue problems with indefinite nonlinearity. Zbl 0903.34023
Shibata, Tetsutaro
1
1997
Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems. Zbl 0861.35071
Shibata, Tetsutaro
2
1996
Nonlinear multiparameter eigenvalue problems. Zbl 0930.34065
Shibata, Tetsutaro
1
1996
Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators. Zbl 0865.35099
Shibata, Tetsutaro
1
1996
Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems. Zbl 0844.34092
Shibata, Tetsutaro
9
1995
Spectral asymptotics for nonlinear Sturm-Liouville problems. Zbl 0818.34016
Shibata, Tetsutaro
1
1995
Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems. Zbl 0848.34016
Shibata, Tetsutaro
1
1995
Asymptotic behaviour of variational eigenvalues of the nonlinear elliptic eigenvalue problem in a ball. Zbl 0818.35077
Shibata, Tetsutaro
1
1994
Spectral properties of a two parameter nonlinear Sturm-Liouville problem. Zbl 0811.34017
Shibata, Tetsutaro
6
1993
Spectral asymptotics of two parameter nonlinear Sturm-Liouville problem. Zbl 0783.34020
Shibata, Tetsutaro
4
1993
Asymptotic behavior of the variational eigenvalues for semilinear Sturm- Liouville problems. Zbl 0768.34057
Shibata, Tetsutaro
7
1992
Nodal and asymptotic properties of solutions to nonlinear elliptic eigenvalue problems on general level sets. Zbl 0777.35052
Shibata, Tetsutaro
2
1991
The relationship between the variational eigenvalues and its critical values for semilinear Sturm-Liouville problems. Zbl 0728.34088
Shibata, Tetsutaro
2
1991
Asymptotic properties of variational eigenvalues for semilinear elliptic operators. Zbl 0689.35070
Shibata, Tetsutaro
5
1988
Generalization and application of Laplace transformation formulas for diffusion. Zbl 0513.76083
Shibata, T.; Kugo, M.
1
1983
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

Citations by Year