Existence and Stability of Periodic Solutions of a Duffing Equation by Using a New Maximum Principle

被引：1

作者：

Pedro J. Torres

机构：

[1] Universidad de Granada,Departamento de Matemática Aplicada

来源：

Mediterranean Journal of Mathematics | 2004年 / 1卷 / 4期

关键词：

Primary 34C25; Secondary 93D20; Periodic solution; asymptotic stability; maximum principle; upper and lower solutions;

D O I：

10.1007/s00009-004-0025-3

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to obtain new criteria for existence and asymptotic stability of periodic solutions of a Duffing equation x′′ + cx′ + g(t, x) = 0, taking advantage of a new maximum principle with Lp-conditions combined with known relations between upper and lower solutions, topological degree and stability.

引用

页码：479 / 486

页数：7

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