On the two-point boundary value problems for linear impulsive systems with singularities

被引：10

作者：

Ashordia, Malkhaz ^{[1
,2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0186 Tbilisi, Georgia

[2] Sukhumi Univ, GE-0186 Tbilisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2012年 / 19卷 / 01期

基金：

美国国家科学基金会;

关键词：

Linear impulsive systems; singularities; systems with small parameters; two-point boundary value problems; Fredholm property; unique solvability; DIFFERENTIAL-SYSTEMS;

D O I：

10.1515/gmj-2011-0053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some two-point boundary value problems are considered for linear impulsive systems with singularities. The singularity is understood in the sense that the matrix- and vector-functions of a continuous (as well as of a discrete) argument which correspond to this system maybe nonsummable. The effective conditions are established for each considerable problem to be uniquely solvable. Analogous problems are also considered for similar impulsive systems with small parameters.

引用

页码：19 / 40

页数：22

共 13 条

[1] [Anonymous], 2006, DIFF EQUAT+
[2] [Anonymous], 1988, J. Sov. Math., DOI DOI 10.1007/BF01100360
[3] Ashordia M, 2005, MEM DIFFER EQU MATH, V36, P1
[4] Ashordia M., 2000, FUNCT DIFFER EQU, V7, P39
[5] Ashordia M., 1995, MEM DIFFERENTIAL EQU, V6, P1
[6] On some boundary value problems for linear generalized differential systems with singularities
Ashordia, M. T.
[J]. DIFFERENTIAL EQUATIONS, 2010, 46 (02) : 167 - 181
[7] Kiguradze I.T., 1975, Some Singular Boundary Value Problems for Ordinary Differential Equations
[8] Kiguradze I. T., 1997, The Initial Value Problem and Boundary Value Problems for Systems of Ordinary Differential Equations, VI
[9] On boundary value problems for linear differential systems with singularities
Kiguradze, IT
[J]. DIFFERENTIAL EQUATIONS, 2003, 39 (02) : 212 - 225
[10] Samoilenko A. M., 1995, WORLD SCI SERIES N A, V14

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