PERIODIC-SOLUTIONS OF NONLINEAR DIFFERENTIAL-EQUATIONS WITH DOUBLE-RESONANCE

被引:35
|
作者
FABRY, C [1 ]
FONDA, A [1 ]
机构
[1] CATHOLIC UNIV LOUVAIN, INST MATH, B-1348 LOUVAIN, BELGIUM
关键词
D O I
10.1007/BF01765314
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the existence of periodic solutions of a second order nonlinear ordinary differential equation whose nonlinearity is at resonance with two successive eigenvalues of the associated linear operator and satisfies some Landesman-Lazer type conditions at both of them.
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页码:99 / 116
页数:18
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