On existence of solutions of a neutral differential equation with deviating argument

被引：5

作者：

Olszowy, Leszek ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

COLLECTANEA MATHEMATICA | 2010年 / 61卷 / 01期

关键词：

Neutral differential equation with deviating argument; asymptotic behaviour; measure of noncompactness; Tikhonov fixed point theorem;

D O I：

10.1007/BF03191224

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish theorems on the existence and asymptotic characterization of solutions of a differential equation of neutral type with deviated argument on neutral type. The mentioned differential equation admits both delayed and advanced arguments. In our considerations we use technique linking measures of noncompactness with the Tikhonov fixed point principle in suitable Frechet space. This approach admits us to improve and extend some results.

引用

页码：37 / 47

页数：11

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