EXISTENCE RESULTS FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：2

作者：

Mursaleen, M. ^{[1
]}

Rizvi, Syed M. H. ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2018年 / 12卷 / 02期

关键词：

Measure of noncompactness; Darbo's fixed point theorem; Banach sequence space; Infinite system of second order differential equations; INFINITE SYSTEMS; CAUCHY-PROBLEM; NONCOMPACTNESS;

D O I：

10.2298/AADM160902015M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with the existence of solutions for certain classes of second order differential equations. First we deal with an infinite system of second order linear differential equations, which is reduced to an ordinary differential equation posed in the space of convergent sequences. Next we investigate the problem of existence for a second order differential equation posed on an arbitrary Banach space. The used approach is based on the measures of noncompactness concept, the use of Darbo's fixed point theorem and Kamke comparison functions.

引用

页码：481 / 492

页数：12

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