| 一类拟线性抛物型方程初值问题的周期解 |
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| 引用本文： | 查中伟. 一类拟线性抛物型方程初值问题的周期解[J]. 重庆三峡学院学报, 2003, 19(4): 94-98 |
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| 作者姓名： | 查中伟 |
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| 作者单位： | 重庆三峡学院计算机科学系,重庆,万州,404000 |
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| 摘 要： | 首先引入T-周期函数的Holder空间C2 α^T(Ω），将一类拟线抛物型方程的初值问题转化为连续的、对变量χ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．
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| 关 键 词： | 拟线性抛物型方程 Holder连续 T-周期解 |
| 文章编号： | 1009-8134(2003)04-0094-05 |
| 修稿时间： | 2003-05-21 |
Periodic Solutions to Initial Value Problem on a Type of Quasilnear Parabolic Equations |
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| ZHA Zhong-wei. Periodic Solutions to Initial Value Problem on a Type of Quasilnear Parabolic Equations[J]. JOurnal of Chongqing Three Gorges University, 2003, 19(4): 94-98 |
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| Authors: | ZHA Zhong-wei |
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| Abstract: | 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. |
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| Keywords: | quasilinear parabolic equation Holder continuation T- periodic solution |
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