中国科技论文在线

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2005年04月06日

【期刊论文】Periodic Solutions for a Class of Nonautonomous Subquadratic Second Order Hamiltonian Systems*

唐春雷， Chun-Lei Tang and Xing-Ping Wu

，-0001，（）：

-1年11月30日

Some existence theorems are obtained for periodic solutions of a class of unbounded nonautonomous nonconvex subquadratic second order Hamiltonian systems by using the minimax methods in critical point theory

periodic solution,， second order Hamiltonian system,， the Saddle Point Theorem,， the (， PS)， condition,， Sobolev'， s inequality

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2005年04月06日

【期刊论文】Existence and Multiplicity of Periodic Solutions

唐春雷， Chun-Lei Tang

，-0001，（）：

-1年11月30日

摘要

The existence and multiplicity of periodic solutions are obtained for the nonau-tonomous second order systems by using the classical theorems of variational calculus and Brezis-Nirenberg's three-critical-point theorem.

periodic solution,， second order system,， subadditive,， coercive,， Sobolev'， s inequality,， critical point.，

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2005年04月06日

【期刊论文】Notes on Periodic Solutions of Subquadratic Second Order Systems*

唐春雷， Chun-Lei Tang and Xing-Ping Wu

，-0001，（）：

-1年11月30日

摘要

some existence theorems are obtained for periodic solutions of the subquadratic second order systems by the minimax methods in critical point theory.

periodic solution,， second order system,， subadditivity,， coercivity,， Sobolev'， s inequality,， critical point.，

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2005年04月06日

【期刊论文】Periodic and Subharmonic Solutions of Second-order Hamiltonian Systems*

唐春雷， Zhu-Lian Tao， Chun-Lei Tang

，-0001，（）：

-1年11月30日

摘要

Some solvability conditions of periodic solutions and subharmonic solutions are obtained for a class of new superquadratic non-autonomous second order Hamiltonian Systems by the minimax methods in critical point theory.

generalized mountain pass theorem,， condition (， C)， ,， superquadratic,， periodic solution,， subharmonic solution.，

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2005年04月06日

【期刊论文】Periodic Solutions for Second Order Systems with not uniformly Coercive Potential*

唐春雷， Chun-Lei Tang and Xing-Ping Wu

，-0001，（）：

-1年11月30日

摘要

The existence and multiplicity of periodic solutions are obtained for the nonau- tonomous second order systems with locally coercive potential, that is, F(t; x)→∞→+as |x|→ ∞! 1 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.

periodic solution,， second order system,， subadditivity,， coercivity,， Sobolev'， s inequality,， critical point.，

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