MULTIPLICITY OF SOLUTIONS TO ASYMPTOTICALLY LINEAR SECOND-ORDER ORDINARY DIFFERENTIAL SYSTEM

被引：0

作者：

Yucheng BuDept of Teachers TrainingZhenjiang CollegeDanyang Jiangsu ^{[212300
]}

机构：

来源：

Annals of Differential Equations | 2011年 / 27卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O175.1 [常微分方程];

学科分类号：

摘要：

In this paper,we consider an asymptotically linear second-order ordinary differential system with Dirchlet boundary value conditions. Under some conditions,we show the multiplicity of solutions to the system by the Morse theory and an index theory.

引用

页码：283 / 292

页数：10

共 50 条

[31] Positive solutions of a second-order singular ordinary differential equation
Bonheure, D
Gomes, JM
Sanchez, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (08) : 1383 - 1399
[32] BOUNDED SOLUTIONS TO SYSTEMS OF ORDINARY SECOND-ORDER DIFFERENTIAL EQUATIONS
BELOVA, MM
DOKLADY AKADEMII NAUK SSSR, 1968, 180 (02): : 266 - &
[33] Periodic solutions for a class of second-order ordinary differential equations
Ji, S. G.
Shi, S. Y.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 130 (01) : 125 - 137
[34] Periodic Solutions for a Class of Second-Order Ordinary Differential Equations
S. G. Ji
S. Y. Shi
Journal of Optimization Theory and Applications, 2006, 130 : 125 - 137
[35] CONSECUTIVE ZEROS OF SOLUTIONS OF ORDINARY SECOND-ORDER DIFFERENTIAL EQUATIONS
COHN, JHE
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 5 (OCT): : 465 - &
[36] A powerful diagnostic tool of analytic solutions of ordinary second-order linear homogeneous differential equations
Dimitris M Christodoulou
Qutaibeh D Katatbeh
Advances in Difference Equations, 2017
[37] A discrete second-order Hamiltonian system with asymptotically linear conditions
Chen, Xiaoxing
Liu, Chungen
Zuo, Jiabin
ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (09): : 5151 - 5160
[38] A program for predicting the intervals of oscillations in the solutions of ordinary second-order linear homogeneous differential equations
Christodoulou, Dimitris M.
Graham-Eagle, James
Katatbeh, Qutaibeh D.
ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 23
[39] A powerful diagnostic tool of analytic solutions of ordinary second-order linear homogeneous differential equations
Christodoulou, Dimitris M.
Katatbeh, Qutaibeh D.
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[40] A periodic solution for a second-order asymptotically linear Hamiltonian system
Zhao, Fukun
Chen, Jin
Yang, Minbo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (11) : 4021 - 4026

← 1 2 3 4 5 →