Shibata, Tetsutaro Local structure of bifurcation curves for nonlinear Sturm-Liouville problems. (English) Zbl 1200.34044 J. Math. Anal. Appl. 369, No. 2, 583-594 (2010). MSC: 34C23 34B24 34E10 PDFBibTeX XMLCite \textit{T. Shibata}, J. Math. Anal. Appl. 369, No. 2, 583--594 (2010; Zbl 1200.34044) Full Text: DOI
Shibata, Tetsutaro Asymptotic expansion formulas for the maximum of solutions to diffusive logistic equations. (English) Zbl 1172.34307 Electron. J. Differ. Equ. 2008, Paper No. 161, 7 p. (2008). MSC: 34B15 34C11 34B08 34E10 PDFBibTeX XMLCite \textit{T. Shibata}, Electron. J. Differ. Equ. 2008, Paper No. 161, 7 p. (2008; Zbl 1172.34307) Full Text: EuDML EMIS
Shibata, Tetsutaro Global behavior of the branch of positive solutions to a logistic equation of population dynamics. (English) Zbl 1148.34018 Proc. Am. Math. Soc. 136, No. 7, 2547-2554 (2008). MSC: 34B18 34B15 34E10 PDFBibTeX XMLCite \textit{T. Shibata}, Proc. Am. Math. Soc. 136, No. 7, 2547--2554 (2008; Zbl 1148.34018) Full Text: DOI
Shibata, Tetsutaro New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems. (English) Zbl 1147.34062 J. Anal. Math. 102, 347-358 (2007). Reviewer: Bruce A. Watson (Wits) MSC: 34L20 34B15 34B18 34B24 PDFBibTeX XMLCite \textit{T. Shibata}, J. Anal. Math. 102, 347--358 (2007; Zbl 1147.34062) Full Text: DOI
Shibata, Tetsutaro Asymptotic behavior of solutions to the perturbed simple pendulum problems with two parameters. (English) Zbl 1114.34016 Math. Nachr. 280, No. 4, 451-462 (2007). MSC: 34B15 PDFBibTeX XMLCite \textit{T. Shibata}, Math. Nachr. 280, No. 4, 451--462 (2007; Zbl 1114.34016) Full Text: DOI
Shibata, Tetsutaro Precise asymptotic shapes of solutions to nonlinear two-parameter problems. (English) Zbl 1137.34007 Result. Math. 50, No. 3-4, 259-273 (2007). MSC: 34B08 34B15 34E10 PDFBibTeX XMLCite \textit{T. Shibata}, Result. Math. 50, No. 3--4, 259--273 (2006; Zbl 1137.34007) Full Text: DOI
Shibata, Tetsutaro The relationship between two-parameter perturbed sine-Gordon type equation and nonlinear Klein-Gordon equation. (English) Zbl 1116.34022 Indiana Univ. Math. J. 55, No. 5, 1557-1572 (2006). Reviewer: Sergei A. Brykalov (Ekaterinburg) MSC: 34B24 34B15 PDFBibTeX XMLCite \textit{T. Shibata}, Indiana Univ. Math. J. 55, No. 5, 1557--1572 (2006; Zbl 1116.34022) Full Text: DOI
Shibata, Tetsutaro Three-term asymptotics for the boundary layers of semilinear elliptic eigenvalue problems. (English) Zbl 1146.35368 NoDEA, Nonlinear Differ. Equ. Appl. 13, No. 1, 23-41 (2006). MSC: 35J65 35J60 PDFBibTeX XMLCite \textit{T. Shibata}, NoDEA, Nonlinear Differ. Equ. Appl. 13, No. 1, 23--41 (2006; Zbl 1146.35368) Full Text: DOI
Shibata, Tetsutaro Three-term spectral asymptotics for the perturbed simple pendulum problems. (English) Zbl 1164.34450 Differ. Integral Equ. 17, No. 1-2, 215-226 (2004). MSC: 34E05 34E10 34B15 PDFBibTeX XMLCite \textit{T. Shibata}, Differ. Integral Equ. 17, No. 1--2, 215--226 (2004; Zbl 1164.34450)
Shibata, Tetsutaro Precise spectral asymptotics for logistic equations of population dynamics. (English) Zbl 1059.35093 Bull. Lond. Math. Soc. 36, No. 1, 59-64 (2004). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 35P30 35J60 92D25 47J15 PDFBibTeX XMLCite \textit{T. Shibata}, Bull. Lond. Math. Soc. 36, No. 1, 59--64 (2004; Zbl 1059.35093) Full Text: DOI
Shibata, Tetsutaro The effect of the variational framework on the spectral asymptotics for two-parameter nonlinear eigenvalue problems. (English) Zbl 1027.34019 Math. Nachr. 248-249, 168-184 (2003). Reviewer: W.D.Evans (Cardiff) MSC: 34B15 34L05 PDFBibTeX XMLCite \textit{T. Shibata}, Math. Nachr. 248--249, 168--184 (2003; Zbl 1027.34019) Full Text: DOI
Shibata, Tetsutaro Three-term spectral asymptotics for nonlinear Sturm-Liouville problems. (English) Zbl 1019.34029 NoDEA, Nonlinear Differ. Equ. Appl. 9, No. 3, 239-254 (2002). Reviewer: Robert Hakl (Brno) MSC: 34B24 34B15 PDFBibTeX XMLCite \textit{T. Shibata}, NoDEA, Nonlinear Differ. Equ. Appl. 9, No. 3, 239--254 (2002; Zbl 1019.34029) Full Text: DOI
Shibata, Tetsutaro Precise spectral asymptotics for the Dirichlet problem \(-u''(t)+g(u(t))=\lambda\sin u(t)\). (English) Zbl 1006.34080 J. Math. Anal. Appl. 267, No. 2, 576-598 (2002). Reviewer: Christiane Tretter (Leicester) MSC: 34L30 34L05 34L16 PDFBibTeX XMLCite \textit{T. Shibata}, J. Math. Anal. Appl. 267, No. 2, 576--598 (2002; Zbl 1006.34080) Full Text: DOI
Shibata, T. Precise asymptotic formulas for semilinear eigenvalue problems. (English) Zbl 1010.34018 Ann. Henri Poincaré 2, No. 4, 713-732 (2001). Reviewer: Petr Girg (Plzen) MSC: 34B24 34B07 34L05 PDFBibTeX XMLCite \textit{T. Shibata}, Ann. Henri Poincaré 2, No. 4, 713--732 (2001; Zbl 1010.34018) Full Text: DOI
Shibata, Tetsutaro Two-parameter eigenvalue problems in nonlinear second order differential equations. (English) Zbl 0873.34014 Result. Math. 31, No. 1-2, 136-147 (1997). Reviewer: M.Möller (Regensburg) MSC: 34B15 PDFBibTeX XMLCite \textit{T. Shibata}, Result. Math. 31, No. 1--2, 136--147 (1997; Zbl 0873.34014) Full Text: DOI
Shibata, Tetsutaro On spectral asymptotics for nonlinear Sturm-Liouville problems. (English) Zbl 0872.34057 J. Math. Anal. Appl. 203, No. 3, 874-890 (1996). Reviewer: V.Petrov (Plovdiv) MSC: 34L20 34L30 34B24 PDFBibTeX XMLCite \textit{T. Shibata}, J. Math. Anal. Appl. 203, No. 3, 874--890 (1996; Zbl 0872.34057) Full Text: DOI
Shibata, Tetsutaro Global \(L^2\)-bifurcation for non-autonomous nonlinear Sturm-Liouville problem. (English) Zbl 0903.34034 J. Indian Math. Soc., New Ser. 62, No. 1-4, 246-258 (1996). Reviewer: Abdelkader Boucherif (Tlemcen) MSC: 34C23 34B24 34B15 34E10 PDFBibTeX XMLCite \textit{T. Shibata}, J. Indian Math. Soc., New Ser. 62, No. 1--4, 246--258 (1996; Zbl 0903.34034)