Periodic solutions of nonautonomous ordinary differential equations

被引：11

作者：

Kiguradze, I. ^{[1
]}

Lomtatidze, A. ^{[2
]}

机构：

[1] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia

[2] Masaryk Univ, Fac Sci, Dept Math & Stat, CS-61137 Brno, Czech Republic

来源：

MONATSHEFTE FUR MATHEMATIK | 2010年 / 159卷 / 03期

基金：

美国国家科学基金会;

关键词：

Nonautonomous differential equation; Periodic solution; Existence; Uniqueness;

D O I：

10.1007/s00605-009-0138-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For higher order ordinary differential equations, new sufficient conditions on the existence and uniqueness of periodic solutions are established. Results obtained cover the case when the right-hand side of the equation is not of a constant sign with respect to an independent variable.

引用

页码：235 / 252

页数：18

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