INITIAL-VALUE PROBLEMS FOR FIRST-ORDER DIFFERENTIAL SYSTEMS WITH GENERAL NONLOCAL CONDITIONS

被引：0

作者：

Nica, Octavia ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Nonlinear differential system; nonlocal initial condition; fixed point; vector norm; matrix convergent to zero; BOUNDARY-VALUE-PROBLEMS; SEMILINEAR EVOLUTION-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the existence of solutions to initial-value problems for nonlinear first-order differential systems with nonlocal conditions of functional type. The fixed point principles by Perov, Schauder and Leray-Schauder are applied to a nonlinear integral operator split into two operators, one of Fredholm type and the other of Volterra type. The novelty in this article is combining this approach with the technique that uses convergent to zero matrices and vector norms.

引用

页数：15

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