EXISTENCE OF A UNIQUE SOLUTION OF A NONLINEAR FUNCTIONAL INTEGRAL EQUATION

Pham Hong Danh, Le Thi Phuong Ngoc, Huynh Thi Hoang Dung, Nguyen Thanh Long

Abstract


In this paper, we consider a nonlinear functional integral equation with variable delays. Using tools of functional analysis and Banach's fixed point theorem in a Fréchet space, the existence of a unique solution for the above equation is proved. Nontrivial examples are also given to illustrate our result.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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