EXISTENCE OF WEAK SOLUTIONS FOR AN INFINITE SYSTEM OF SECOND ORDER DIFFERENTIAL EQUATIONS

被引：2

作者：

Wang, Fuli ^{[1
]}

Zhou, Hua ^{[1
]}

Weng, Shiyou ^{[2
]}

机构：

[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China

[2] Suzhou Vocat Univ, Dept Math & Phys, Suzhou 215104, Peoples R China

来源：

ADVANCES IN OPERATOR THEORY | 2019年 / 4卷 / 02期

关键词：

Frechet space; infinite system of differential equations; measures of weak noncompactness; fixed point; FIXED-POINT THEOREMS; NONCOMPACTNESS;

D O I：

10.15352/aot.1807-1400

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence of weak solutions for a boundary value problem of an infinite system of second order differential equations. As the main tool, a new Krasnosel'skii type fixed point theorem in Frechet spaces is established in conjunction with the technique of measures of weak noncompactness.

引用

页码：514 / 528

页数：15

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