首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Theorems about the Existence of Solutions to Problems with Nonlocal Initial Value
Authors:Yuan Di Wang
Institution:(1) Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China
Abstract:Recently much work has been devoted to nonlocal problems. However, very little has been accomplished in the literature for nonlocal initial problems with nonlinear boundary conditions. It is the purpose of this paper to prove the existence results for solutions to a semilinear parabolic PDE with linear homogeneous boundary conditions, and to other ones with nonlinear boundary conditions, provided the ordered upper and lower solutions are given. Semigroup, fractional order function spaces and generalized Poincaré operators play an important role in proving the existence of solutions. Supportedpartly by Research Grant 19531060 of China NSF and Grant 97024811 of the Foundation of Doctoral Program
Keywords:Nonlocal problem  Nonlinear boundary condition  Parabolic equation  Solution  Existence  Generalized Poincare e operator
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号