Existence and Stability of Periodic Solutions of a Duffing Equation by Using a New Maximum Principle
Existence and Stability of Periodic Solutions of a Duffing Equation by Using a New Maximum Principle
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DOI：
10.1007/s00009-004-0025-3
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发表时间：
2004-12
影响因子：
1.1
通讯作者：
P. Torres
中科院分区：
文献类型：
--
作者：
P. Torres
利用一个新的具有Lp-条件的极大值原理，结合上下解、拓扑度和稳定性之间的已知关系，得到了Duffing方程x ′′ +cx′ +g（t，x）= 0周期解的存在性和渐近稳定性的新判据.
The purpose of this paper is to obtain new criteria for existence and asymptotic stability of periodic solutions of a Duffing equationx′′ +cx′ +g(t,x) = 0, taking advantage of a new maximum principle withLp-conditions combined with known relations between upper and lower solutions, topological degree and stability.