Periodic solution of a quasilinear parabolic equation with nonlocal terms and Neumann boundary conditions

Boundary value problems

Boying Wu¹  Jiebao Sun²  Raad Awad Hameed² 

[1] Department of Mathematics, College of Education, University of Tikrit, Tikrit, Iraq;Department of Mathematics, Harbin Institute of Technology, Harbin, P.R. China

关键词: Periodic Solution;    Dirichlet Boundary Condition;    Neumann Boundary Condition;    Auxiliary Problem;    Nonnegative Solution;   

DOI  :  10.1186/1687-2770-2013-34

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we study the periodic solution of a quasilinear parabolic equation with nonlocal terms and Neumann boundary conditions. By using the theory of Leray-Schauder degree, we obtain the existence of a nontrivial nonnegative time periodic solution.

【 授权许可】

CC BY