非线性二阶常微分方程的正周期解
Positive Periodic Solution of Nonlinear Second Order Ordinary Differential Equations
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摘要: 探讨f既非超线性的也非次线性的非线性二阶常微分方程, 其正ω-周期解的存在性. 其结果拓展了Krasnosel'skii锥映射不动点定理.
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关键词:
- 周期边界值,正周期解,锥映射,不动点定理
Abstract: We establish the existence of the positive ω-periodic solution of nonlinear second order ordinary differential equations, as f is neither superlinear nor sublinear. The results obtained are different form the Krasnosel'skii fixed point theorem in cones. -
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