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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

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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2005年04月06日

【期刊论文】Subharmonic Solutions for Nonautonomous Sublinear Second Order Hamiltonian Systems*

唐春雷， Chun-Lei Tang， Xing-Ping Wu

，-0001，（）：

-1年11月30日

摘要

Some existence theorems are obtained for subharmonic solutions of nonautonomous second order Hamiltonian systems by the minimax methods in critical point theory.

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

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2005年04月06日

【期刊论文】Periodic Solutions for Nonautonomous Second Order Systems with Sublinear Nonlinearity

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 nonautonomous econd rdersystems with sublinear nonlinearity by using the least action principle and the minimax methods.

coercive,， the (， PS)， condition,， Sobolev'， s inequality,， Wirtinger'， s inequality,， the least action principle,， the Saddle Point Theorem,， periodic solution

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2005年04月06日

【期刊论文】Some Existence Theorems for the Sublinear Neumann Boundary Value Problem*

唐春雷， Chun-Lei Tang

，-0001，（）：

-1年11月30日

摘要

The existence results are obtained for solutions of the Neumann problem for sub-linear elliptic equations at resonance by the minimax methods.

Neumann problem,， resonance,， the Saddle Point Theo-rem,， critical point,， the Sobolev'， s embedding theorem,， Poincar

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2005年04月06日

【期刊论文】A Note on Periodic Solutions of Nonautonomous Second Order Systems

唐春雷， Chun-Lei Tang and Xing-Ping Wu

，-0001，（）：

-1年11月30日

摘要

A multiplicity theorem is obtained for periodic solutions of nonautonomous second order systems with partially periodic potentials by the minimax methods.

and phases periodic solution,， second order system,， periodicity,， Sobolev'， s inequality,， Wirtinger'， s inequality,， the minimax methods

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