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.
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页码：479 / 486
页数：7
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