Periodic Solutions for Second Order Systems with Not Uniformly Coercive Potential

By Chunlei Tang, Xing-Ping Wu. 2001

137 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/10f1a83c5f270b5726dc055dd5afb625cae126ea

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In Applied Mathematics

1. Chunlei Tang
2. Xing-Ping Wu
3. Qin Jiang

In Mathematical Physics

1. Chunlei Tang
2. Xing-Ping Wu

Citations in the corpus

• Notes on periodic solutions of subquadratic second order systems (2003, methodology): “There are functions F(t, x) satisfying our Theorem 1 and not satisfying the results in [1–12].”