Solutions to systems of partial differential equations with weighted self-reference and heredity

Abstract

This article studies the existence of solutions to systems of nonlinear integro-differential self-referred and heredity equations. We show the existence of a global solution and the uniqueness of a local solution to a system of integro-differential equations with given initial conditions.

Keywords

• Hereditary
• self-referred
• non-linear integro-differential
• equations
• recursive scheme