Existence Of Uncountably Many Bounded Postive Solutions And Mann Iterative Schemes With Errors For Fifth Order Nonlinear Neutral Delay Partial Difference Equation

The text we consider the following fifth order nonlinear neutral delay partial difference equationThe purpose of this paper is to establish the existence of uncountable multiple positive solutions and the mann iterative schemes for a fifth order nonlinear neutral delay partial difference equation by Banach fixed point theorem,introducing a norm and proper mapping.Under the condition of 0<bm,n<1,-1<bm,n<0,bm,n<-1 and bm,n>1,with the aid of the Banach fixed point theorem and the method of nonlinear analysis,the text studies the existence of partial difference equations above,uses Mann iterative sequence error estimation to close to the multiple uncountable bounded positive solutions of the partial difference equation,and constructs four examples.Through the change of the equation coefficient,function and different forms of constant,it does better explain and demonstrate the practicability of this article.