CRITERION FOR THE EXISTENCE OF BOUNDED SOLUTIONS ON THE REAL AXIS I[8 OF LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

被引：0

作者：

Ashordia, Malkhaz ^{[1
,2
,3
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 2 Merab Aleksidze 2 Lane, Tbilisi 0193, Georgia

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

[3] Muskhelishvili Inst Computat Math, 4 Grigol Peradze Str, Tbilisi 0159, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2024年 / 178卷 / 02期

关键词：

Linear systems; Ordinary differential equations; Bounded solution; Criterion for existence; Effective sufficient conditions; Spectral condition;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Effective necessary and sufficient conditions are established for the existence of bounded solutions of systems of linear ordinary differential equations on the real axis. Sufficient conditions are given for existence of bounded solutions satisfying the Nicoletti condition. Moreover, the method of the construction of such solutions is considered. Sufficient conditions for the existence of a unique solution and its positivity are established.

引用

页码：311 / 316

页数：6