In this paper, we study the existence and other properties of the solution of the nonlinear Volterra Fredholm integrodifferential equation of higher order. The tool employed in the analysis is based on the application of the S-iteration method. Various properties such as dependence on initial data, closeness of solutions and dependence on parameters and functions involved therein are obtained using the  S-iteration method. Examples are provided in support of findings.

existence, normal S-iterative method, Volterra-Fredholm integrodifferential equation, continuous dependence, closeness, parameters.

Received: April 8, 2023; Revised: May 4, 2023; Accepted: June 3, 2023; Published: June 28, 2023

How to cite this article: Haribhau L. Tidke and Gajanan S. Patil, Existence of solutions for nonlinear Volterra Fredholm integrodifferential equation of higher order via S-iteration method, Advances in Differential Equations and Control Processes 30(3) (2023), 237-276. http://dx.doi.org/10.17654/0974324323014 

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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