Meir-Keeler condensing operator to prove existence of solution for infinite systems of differential equations in the Banach space and numerical method to find the solution


Mohsen Rabbani, Anupam Das, Bipan Hazarika, Reza Arab




In this paper, we establish the existence of solution for infinite systems of differential equations in the Banach sequence space n ϕ , ℓ p (1 ≤ p < ∞) and c by using Meier-Keeler condensing operators. With the help of examples we illustrate our results in the sequence spaces. Also for validity of the results, we find an approximation of solution by using a suitable method with high accuracy.