Invariance of homotopy and an extention of a theorem by Habets-Metzen on periodic solutions of Duffing equations

被引:2
作者
Dong, YJ [1 ]
机构
[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China
关键词
invariance of homotopy; coincidence degree; existence; periodic solution; Duffing equation;
D O I
10.1016/S0362-546X(00)00164-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A discussion on an extention of a theorem by Habets-Metzen on periodic solutions of Duffing equations and invariance of homotopy was presented. It was shown that the coincidence degree of the associated operators was not zero if associated positive homogeneous problem had no nontrivial solutions. Theorems were proved to verify the results.
引用
收藏
页码:1123 / 1132
页数:10
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