Global Solvability Of A System Of Higher Order Nonlinear Neutral Delay Differential Equations

This paper aims to investigate the global solvability of the below system of higher order nonlinear neutral delay differential equations where n and l are positive numbers, for i,j∈{1,2,...,l} and 1≤m≤n-1.By using the Banach contraction principle, the Krasnoselskii fixed point theorem, the Schauder fixed point theorem and the Sadovskii fixed point theorem, four results on the existence of uncountably many bounded positive solutions of the system are established. In addition, our results extend, improve and unify Theorem 1 in [4], Theorem 2.1 in [5], Theorem 2.1 in [9], Theorems 2.1 and 2.2 in [10] and Theorems 1,Theorem 2,Theorem 3 and Theorem 4 in [20].