具非局部项的拟线性抛物方程周期解的注记

具非局部项的拟线性抛物方程周期解的注记

柯媛元¹,², 孙慧群²

1. 中山大学数学与计算科学学院, 广州 510275; 2. 吉林大学数学学院, 长春 130012

收稿日期:2006-09-20 修回日期:1900-01-01 出版日期:2006-11-26 发布日期:2006-11-26
通讯作者: 柯媛元

Remark on Periodic Solutions of Some Quasilinear Parabolic Equations with Nonlocal Terms

KE Yuanyuan¹,², SUN Hui qun²

1. School of Mathematics & Computational Science, Sun YatSen University, Guangzhou 510275, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2006-09-20 Revised:1900-01-01 Online:2006-11-26 Published:2006-11-26
Contact: KE Yuanyuan

摘要/Abstract

摘要： 利用拓扑度理论, 研究一类具非局部项的拟线性抛物方程, 证明了非负非平凡周期解的存在性, 该结果推广了已有的一些研究结果.

关键词: 拟线性方程, 非局部项, LeraySchauder度

Abstract: We used the theory of LeraySchauder’s degree to establish the existence of the nontrivial nonnegative periodic solutions for a class of quasilinear parabolic equations with nonlocal terms. The results have extended some known related results before.

Key words: quasilinear equation, nonlocal term, Leray Schauder’s degree

中图分类号:

O175.8

柯媛元,, 孙慧群. 具非局部项的拟线性抛物方程周期解的注记[J]. J4, 2006, 44(06): 901-902.

KE Yuanyuan,, SUN Hui qun. Remark on Periodic Solutions of Some Quasilinear Parabolic Equations with Nonlocal Terms[J]. J4, 2006, 44(06): 901-902.

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