On the well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities

被引：0

作者：

Ashordia, Malkhaz ^{[1
,2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 2 Aleksidze Str, GE-0186 Tbilisi, Georgia

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

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2022年 / 29卷 / 05期

关键词：

Linear systems of generalized ordinary differential equations; Kurzweil integral; singularities; Cauchy problem with weight; well-posedness; effective sufficient conditions; spectral condition; impulsive differential systems; BOUNDARY-VALUE-PROBLEMS; SOLVABILITY;

D O I：

10.1515/gmj-2022-2154

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Effective sufficient conditions are established for the well-posedness of the Cauchy problem with weight for linear systems of generalized ordinary differential equations with singularities. The results are realized for impulsive differential systems.

引用

页码：641 / 659

页数：19

共 50 条

[1] ON THE WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
Ashordia, Malkhaz
Kutsia, Malkhaz
Talakhadze, Mzia
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2019, 77 : 105 - 113
[2] ON THE SOLVABILITY AND THE WELL-POSEDNESS OF THE MODIFIED CAUCHY PROBLEM FOR LINEAR SYSTEMS OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS WITH SINGULARITIES
Ashordia, Malkhaz
Sesadze, Valida
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2018, 75 : 139 - 149
[3] Well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations on an infinite interval
Ashordiya, MT
Kekeliya, NA
DIFFERENTIAL EQUATIONS, 2004, 40 (04) : 477 - 490
[4] Well-Posedness of the Cauchy Problem for Linear Systems of Generalized Ordinary Differential Equations on an Infinite Interval
M. T. Ashordiya
N. A. Kekeliya
Differential Equations, 2004, 40 (4) : 477 - 490
[5] ON THE OPIAL TYPE CRITERION FOR THE WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR LINEAR SYSTEMS OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
Ashordia, Malkhaz
MATHEMATICA BOHEMICA, 2016, 141 (02): : 183 - 215
[6] ON THE WELL-POSEDNESS OF THE WEIGHTED CAUCHY PROBLEM FOR SYSTEMS OF LINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH SINGULARITIES
Ashordia, Malkhaz
Kharshiladze, Nato
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2022, 85 : 21 - 33
[7] On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of ordinary differential equations
Ashordia, Malkhaz
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2016, 170 (02) : 149 - 165
[8] ON THE WELL-POSEDNESS OF ANTIPERIODIC PROBLEM FOR SYSTEMS OF LINEAR GENERALIZED DIFFERENTIAL EQUATIONS
Ashordia, Malkhaz
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2016, 69 : 113 - 122
[9] Well-posedness of the Cauchy-Nicoletti boundary value problem for systems of nonlinear generalized ordinary differential equations
Ashordiya, MT
DIFFERENTIAL EQUATIONS, 1995, 31 (03) : 352 - 362
[10] On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities
Ashordia, Malkhaz
Gabisonia, Inga
Talakhadze, Mzia
GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (01) : 29 - 47

← 1 2 3 4 5 →