Sturm-Liouville eigenvalue problems on time scales

被引：167

作者：

Agarwal, RP

Bohner, M

Wong, PJY

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Nanyang Technol Univ, Div Math, Singapore 259756, Singapore

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 99卷 / 2-3期

关键词：

Sturm-Liouville eigenvalue problem; time scale; Rayleigh's principle; generalized zero; oscillation theorem; comparison theorem;

D O I：

10.1016/S0096-3003(98)00004-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For Sturm-Liouville eigenvalue problems on time scales with separated boundary conditions we give an oscillation theorem and establish Rayleigh's principle. Our results not only unifiy the corresponding theories for differential and difference equations, but are also new in the discrete case, (C) 1999 Published by :Elsevier Science Inc. All rights reserved.

引用

页码：153 / 166

页数：14

共 50 条

[31] NONLINEAR STURM-LIOUVILLE EIGENVALUE PROBLEMS AND TOPOLOGICAL DEGREE
CRANDALL, MG
RABINOWI.PH
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1970, 19 (12) : 1083 - &
[32] Variational approach for Sturm-Liouville boundary value problems on time scales
Zhang Q.-G.
Sun H.-R.
Journal of Applied Mathematics and Computing, 2011, 36 (1-2) : 219 - 232
[33] WEAK SINGULAR STURM-LIOUVILLE PROBLEMS .1. EIGENVALUE PROBLEMS
HAVERKAMP, R
NUMERISCHE MATHEMATIK, 1977, 27 (04) : 471 - 484
[34] Sturm-Liouville problems
Zettl, A
SPECTRAL THEORY AND COMPUTATIONAL METHODS OF STURM-LIOUVILLE PROBLEMS, 1997, 191 : 1 - 104
[35] Spectral Problems for Sturm-Liouville Operator with Eigenparameter Boundary Conditions on Time Scales
Adalara, Ibrahim
FILOMAT, 2022, 36 (08) : 2519 - 2529
[36] UNIQUENESS AND BIFURCATION FOR SOLUTIONS OF NONLINEAR STURM-LIOUVILLE EIGENVALUE PROBLEMS
CHEN, CN
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 111 (01) : 51 - 85
[37] INVERSE EIGENVALUE PROBLEMS FOR A STURM-LIOUVILLE EQUATION IN IMPEDANCE FORM
ANDERSSON, LE
INVERSE PROBLEMS, 1988, 4 (04) : 929 - 971
[38] SOME COMMENTS ON STURM-LIOUVILLE EIGENVALUE PROBLEMS WITH INTERIOR SINGULARITIES
EVERITT, WN
GUNSON, J
ZETTL, A
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1987, 38 (06): : 813 - 838
[39] A CLASS OF STURM-LIOUVILLE EIGENVALUE PROBLEMS WITH POLYNOMIAL AND EXPONENTIAL NONLINEARITIES
VUILLERMOT, PA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1984, 8 (07) : 775 - 796
[40] Dissipative eigenvalue problems for a Sturm-Liouville operator with a singular potential
Bodenstorfer, B
Dijksma, A
Langer, H
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 : 1237 - 1257

← 1 2 3 4 5 →