Two-parameter nonlinear Sturm-Liouville problems

被引：3

作者：

Shibata, T ^{[1
]}

机构：

[1] Hiroshima Univ, Fac Integrated Arts & Sci, Div Math & Informat Sci, Higashihiroshima 739, Japan

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1998年 / 41卷

关键词：

D O I：

10.1017/S0013091500019611

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study two-parameter nonlinear Sturm-Liouville problems. We shall establish the continuity of the variational eigencurve lambda(mu) and asymptotic formulas of lambda(mu) as mu --> infinity, mu --> pi(2).

引用

页码：225 / 245

页数：21

共 50 条

[1] Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems
Shibata, T
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 1995, 66 : 277 - 294
[2] Eigencurves for two-parameter Sturm-Liouville equations
Binding, P
Volkmer, H
[J]. SIAM REVIEW, 1996, 38 (01) : 27 - 48
[3] An inverse nodal problem for two-parameter Sturm-Liouville systems
Binding, Paul A.
Watson, Bruce A.
[J]. INVERSE PROBLEMS, 2009, 25 (08)
[4] On the spectral surface of a model two-parameter Sturm-Liouville problem
Michel, Joachim
Volkmer, Hans
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (03) : 333 - 350
[5] Computation of the Eigenpairs of Two-Parameter Sturm-Liouville Problems Using the Regularized Sampling Method
Chanane, B.
Boucherif, A.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[6] NONLINEAR STURM-LIOUVILLE PROBLEMS
WOLKOWISKY, JH
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1969, 35 (04) : 299 - +
[7] NONLINEAR STURM-LIOUVILLE PROBLEMS
TURNER, REL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1971, 10 (01) : 141 - &
[8] Variational methods and asymptotic formula for two parameter nonlinear Sturm-Liouville problems
Shibata, T
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (01) : 75 - 96
[9] Discrete sturm-liouville problems with nonlinear parameter in the boundary conditions
Harmsen, Betty Jean
Li, Aihua
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2007, 13 (07) : 639 - 653
[10] Two-parameter uniformly elliptic Sturm-Liouville problems with eigenparameter-dependent boundary conditions
Bhattacharyya, T
Mohandas, JP
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2005, 48 : 531 - 547

← 1 2 3 4 5 →