ON THE SOLVABILITY OF THE PERIODIC PROBLEM FOR SYSTEMS OF LINEAR GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS

被引：0

作者：

Ashordia, Malkhaz ^{[1
,2
]}

Chania, Medea ^{[2
]}

Kucia, Malkhaz ^{[2
]}

机构：

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

[2] Sokhumi State Univ, 9 Politkovskaia St, GE-0186 Tbilisi, Georgia

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2018年 / 74卷

关键词：

Nonlocal boundary value problem; periodic problem; linear systems; generalized ordinary differential equations; unique solvability; effective conditions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A periodic problem for systems of linear generalized differential equations is considered. The Green type theorem on the unique solvability of the problem and the representation of its solution are established. Effective necessary and sufficient conditions (of spectral type) for the unique solvability of the problem are also given.

引用

页码：7 / 26

页数：20

共 15 条

[1]

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

[2]

Ashordia M., 1997, MEM DIFFER EQU MATH, V11, P159

[3]

Ashordia M., 2000, FUNCT DIFFER EQU, V7, P39

[4]

Ashordia M., 1995, MEM DIFFERENTIAL EQU, V6, P1

[5]

Ashordia M, 2008, MEM DIFFER EQU MATH, V44, P133

[6]

Ashordia M, 2008, MEM DIFFER EQU MATH, V43, P153

[7] A NON-LINEAR VOLTERRA-STIELTJES INTEGRAL-EQUATION AND A GRONWALL INEQUALITY IN ONE DIMENSION [J].

GROH, J .

ILLINOIS JOURNAL OF MATHEMATICS, 1980, 24 (02) :244-263

[8]

Hildebrandt T. H., 1959, MATH, V3, P352

[9]

Kiguradze I., 1997, LINEAR THEORY, VI

[10]

Kurzweil J., 1958, CZECH MATH J, V8, P360

← 1 2 →