ON A TWO-POINT SINGULAR BOUNDARY VALUE PROBLEM FOR SYSTEMS OF NONLINEAR GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS

被引：0

作者：

Ashordia, Malkhaz ^{[1
,2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili St, Tbilisi 0177, Georgia

[2] Sukhumi State Univ, Tbilisi 0186, Georgia

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2013年 / 58卷

基金：

美国国家科学基金会;

关键词：

Systems of nonlinear generalized ordinary; differential equations; singularity; the Kurzweil-Stieltjes integral; two-point boundary value problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-point boundary value problem is considered for the system of nonlinear generalized ordinary differential equations with singularities on a non-closed interval. Singularity is understood in a sense of the vector-function corresponding to the system which belongs to the local Caratheodory class with respect to the matrix-function corresponding to the system. The general sufficient conditions are established for the unique solvability of this problem. Relying on these results, the effective conditions are established for the unique solvability of the problem.

引用

页码：111 / 123

页数：13

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