Existence of solution of quasilinear integrodifferential equation with delay

摘要：

The local existence of classical solution of quasilinear integrodifferential evolution equitions with delay in Banach space is studied in this paper.On the base of the conclusion of an evolution system for the parabolic initial value problem,the results are obtained by using fractional powers of operators and the Schauder fixed point theorem.Under some assumptions,the solution of the quasilinear integrodifferential evolution equition is local existence and uniqueness.Finally,a reaction-diffusion Hopfield neural network with time-varying delays is given as an illustration.

关键词： existence of solution quasilinear integrodifferential evolution equition delay analytic semigroup fixed point theorem

作者: Chunhong Li Faming Guo Lixing Shi

作者单位: Department of Mathematics,Sichuan Agriculture University,Yaan Sichuan 625014,China Department of Applied Mathematics,Chengdu University of Technology,Chengdu Sichuan 610051,China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Network Technology(ICCNT 2011)(2011第三届IEEE计算机与网络技术国际会议)

会议地点: 太原

会议语种:英文

页码: 567-571

在线出版日期: 2011-02-26（万方平台首次上网日期，不代表论文的发表时间）