摘要
首先引入T-周期函数的Holder空间)(2W+TCa,将一类拟线抛物型方程的初值问题转化为连续的、对变量x具有连续偏导数、而对变量t具有周期T的函数构成的Banach空间上的积分方程。然后利用schauder不动点定理证明了所论问题周期解的存在性。
This paper firstly introduces Holder space )(2W+TCa of T-periodic function, converts a type of initial value problem of quasilinear parabolic equation into integral equation for Banach space of functions which are periodic in period T, continuous and having continuous partial derivative with respect to x. And then, the existence of periodic solutions to the problem is proved by using Schauder fixed point theorem.
出处
《重庆三峡学院学报》
2003年第4期94-98,共5页
Journal of Chongqing Three Gorges University
