UPPER AND LOWER SOLUTIONS METHODS FOREXISTENCE OF PERIODIC SOLUTIONS OFDUFFING EQUATION

被引：0
|
作者：
WANG Chengwen (Institute of Mathematics
机构：
来源：
Systems Science and Mathematical Sciences | 1999年 / 01期
关键词：
Upper and lower solutions; topological degree; existence of solutions; periodic boundary value problem;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
This paper gives upper and lower solutions methods for the existence of solutions of periodic BVP for second order Duffing equation x" + kx’+ g(t, x) = 0, x(0) = x(T), x’(0) = x’(T),where g is a Caratheodory function. As an application, some existence theorems are given for the equation x" + kx’ + g(t, x) = s, x(0) = x(T), x’(0) = x’(T),with respect to a real parameter s.
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页码：1 / 7
页数：7
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