On nonlocal initial value problem for first order differential equations

Abstract

The paper is devoted to the existence of solutions of initial value problems for nonlinear first order differential equations with nonlocal conditions. We shall rely on the Leray–Schauder fixed point principle to prove the main result. The novelty is a growth condition which is splitted into two parts, one for the subinterval containing the points involved by the nonlocal condition, and other for the rest of the interval.

Authors

Abdelkader Boucherif
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Nonlinear differential equation; Nonlocal initial condition; A priori bounds of solutions; Leray-Schauder fixed point principle.

Paper coordinates

A. Boucherif, R. Precup, On nonlocal initial value problem for first order differential equations, Fixed Point Theory 4 (2003) no. 2, 205-212.

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About this paper

Journal

Fixed Point Theory

Publisher Name
Print ISSN
Online ISSN

MR 2031390, Zbl 105034001.

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