Periodic Solutions for Second Order Systems with Not Uniformly Coercive Potential
Periodic Solutions for Second Order Systems with Not Uniformly Coercive Potential
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DOI：
10.1006/jmaa.2000.7401
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发表时间：
2001-07
影响因子：
1.3
通讯作者：
Chunlei Tang;Xing-Ping Wu
中科院分区：
文献类型：
--
作者：
Chunlei Tang;Xing-Ping Wu
摘要 给出了具有局部矫顽势的非自治二阶系统的周期解的存在性和多重性；即，F ( t , x ) → +∞ as | x| → 对于 a.e. 来说t 在 [0, T ] 的某个正测度子集中，通过使用叶戈洛夫定理的类比、次加性函数的性质、最小作用原理以及 Brezis 和 Nirenberg 提出的三临界点定理。
Abstract The existence and multiplicity of periodic solutions are obtained for the nonautonomous second order systems with locally coercive potential; that is, F ( t , x ) → +∞ as | x | → ∞ for a.e. t in some positive-measure subset of [0, T ], by using an analogy of Egorov's Theorem, the properties of subadditive functions, the least action principle, and a three-critical-point theorem proposed by Brezis and Nirenberg.