Banach空间发展包含周期解的存在性

数学物理学报 ›› 2012, Vol. 32 ›› Issue (1): 126-136.

Banach空间发展包含周期解的存在性

于金凤¹, 薛小平²

1.哈尔滨师范大学数学科学学院哈尔滨 150080;
2.哈尔滨工业大学数学系哈尔滨 150001

收稿日期:2010-07-06 修回日期:2011-09-19 出版日期:2012-02-25 发布日期:2012-02-25
基金资助:
国家自然科学基金(10571035)和黑龙江省教育厅项目(11551138)资助规划常规性课题(06CGYJ21YBQ)

Existence of Periodic Solution for Evolution Inclusion in Banach Space

YU Jin-Feng¹, XUE Xiao-Ping²

1. Department of Mathematics, Harbin Normal University, Harbin 150080;
2.Department of Mathematics, Harbin Institute of Technology, Harbin 150001

Received:2010-07-06 Revised:2011-09-19 Online:2012-02-25 Published:2012-02-25
Supported by:
国家自然科学基金(10571035)和黑龙江省教育厅项目(11551138)资助规划常规性课题(06CGYJ21YBQ)

摘要/Abstract

摘要：

该文使用Galerkin逼近方法建立了一类发展包含的存在性定理.同时作为应用,给出了一类带有集值右端的偏微分方程的周期解存在的充分条件.

关键词: 发展包含, 发展三角, 周期解, Galerkin逼近

Abstract:

In this paper, using the Galerkin approximation method, the authors establish a theorem about the existence of periodic solution for a class of evolution inclusion. As an application of the results, a suffcient conditions for the existence of periodic solution to the parabolic differential equation with multivalued items is obtained.

Key words: Evolution triple, Evolution inclusions, Periodic solutions, Galerkin approxima-tion

中图分类号:

34A60

于金凤, 薛小平. Banach空间发展包含周期解的存在性[J]. 数学物理学报, 2012, 32(1): 126-136.

YU Jin-Feng, XUE Xiao-Ping. Existence of Periodic Solution for Evolution Inclusion in Banach Space[J]. Acta mathematica scientia,Series A, 2012, 32(1): 126-136.

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