含摄动项的微分方程的广义解

利用非紧型条件和耗散型条件给出微分方程Cauchy问题广义解的存在定理 ,改进和推广了

一阶拟线性可对称化双曲型方程组Cauchy问题的整体光滑解

本文利用拟微分算子的L_2^-估计,对具有耗散项的一阶拟线性可对称化双曲型偏微分方程组,证明了当初始数据充分小时,其Cauchy问题具有整体光滑解.

On the Existence of Periodic Solutions for Third Order Non-Dissipative Differential Systems

In this paper we first obtain Some fixed point theorems and then app- ly them to a third-order periodically perturbed non-dissipative systems, conditions on the existence of multiple periodic solutions are given。 Fina- lly,an example of application is cited.