ON THE SOLVABILITY OF THE MODIFIED CAUCHY PROBLEM FOR LINEAR SYSTEMS OF IMPULSIVE DIFFERENTIAL EQUATIONS WITH SINGULARITIES

被引：5

作者：

Ashordia, Malkhaz ^{[1
,2
]}

Kharshiladze, Nato ^{[2
]}

机构：

[1] A Razmadze Math Inst, Some Dept, 6 Tamarashvili Str, GE-0186 Tbilisi, Georgia

[2] Sukhumi State Univ, 61 A Politkovskaia Str, GE-0186 Tbilisi, Georgia

来源：

MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 01期

关键词：

impulsive differential equations; linear systems; singularities; the modified Cauchy problem; unique solvability; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.18514/MMN.2020.3248

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The modified Cauchy problem is considered for systems of linear impulsive differential equations with singularities. The singularity is considered in the sense that the matrix-and vector-functions corresponding to the impulsive system are generally not integrable at the initial point. The sufficient conditions are established for the unique solvability of the problem

引用

页码：69 / 79

页数：11

共 13 条

[1]

Akhalaia S, 2009, GEORGIAN MATH J, V16, P597

[2]

Ashordia M, 2005, MEM DIFFER EQU MATH, V36, P1

[3]

Ashordia M, 2019, MEM DIFFER EQU MATH, V78, P1

[4] On the two-point boundary value problems for linear impulsive systems with singularities [J].

Ashordia, Malkhaz .

GEORGIAN MATHEMATICAL JOURNAL, 2012, 19 (01) :19-40

[5]

Bainov D. D., 1995, SINGAPORE SERIES ADV, V28, DOI [10.1142/2413., DOI 10.1142/2413]

[6]

Chechyk V. A., 1959, T MOSK MAT O VA, V8, P155

[7]

Kiguradze I. T., 1965, DIFF URAVN, V1, P1271

[8]

Kiguradze I. T., 1997, The Initial Value Problem and Boundary Value Problems for Systems of Ordinary Differential Equations, VI

[9]

Kiguradze IT, 1996, DIFF EQUAT+, V32, P173

[10]

Lakshmikantham V., 1989, DIFFERENTIAL EQUATIO, VI

← 1 2 →