Periodic solutions of some fourth-order nonlinear differential equations

被引：28
|
作者：
Bereanu, Cristian [1 ]
机构：
[1] Acad Romana, Inst Math Simion Stoilow, RO-014700 Bucharest, Romania
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 1-2期
关键词：
Periodic solutions; Fisher-Kolmogorov equation; Swift-Hohenberg equation; Mawhin's continuation theorem; EXTENDED FISHER-KOLMOGOROV; EXISTENCE; MULTIPLICITY;
D O I：
10.1016/j.na.2008.10.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using Mawhin's continuation theorem, we obtain existence results concerning T-periodic solutions of fourth-order nonlinear differential equations of the type u'''' - pu '' - g(t, u) = e(t). where p is an element of R, g : R(2) -> R is continuous, T-periodic in t and e : R -> R is continuous, T-periodic with mean value zero. Applications are given for the extended Fisher-Kolmogorov and Swift-Hohenberg equations with forcing term. (c) 2008 Elsevier Ltd. All rights reserved.
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页码：53 / 57
页数：5
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