paper

Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions

arXiv:2604.28086

Abstract

This paper investigates the existence and uniqueness of solutions for a nonlinear evolution equation governed by an m-accretive operator A in a Banach space, presenting a perturbation term that does not satisfy the Lipschitz condition.

24 pages 1 figure

Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions · wovepaper