Existence Of Postive Solutions And Iterative Approximations For Fifth Order Nonlinear Neutral Delay Difference Equation

By Banach fixed point theorem and Mann iterative algorithms, this paper introduces and studies the following fifth order nonlinear neutral delay difference equation, show that iterative approximation uncountable multiple positive solutions under different circumstances, whereThis paper describes the status of the preamble differential equations developed, on the basis of previous studies carried out in this paper to write and proof. In this paper, the text is divided into a total of three parts, the first part of a brief article related symbols required, the definition of the content, the second part of this paper is a theorem. The article gives seven theorem, respectively under the condition of show that the existence, iterative approximations and the problem of error estimates of the uncountable many bounded non-oscillatory solutions of this difference equation in the subset A(N,M) of Banach spaces. Guaranteed fifth order nonlinear neutral delay difference according to Banach point theorem and Mann iterative algorithm does not move uncountable equation has multiple positive solutions of established. The third chapter, seven nontrivial examples are the application of the above seven theorem, but also shows the value and importance of the practical application of this article theorem.