On existence of bounded solutions on real axis R of linear systems of generalized ordinary differential equations

Miskolc Mathematical Notes

article

Malkhaz Ashordia¹ 

[1] I. Javakhishvili Tbilisi State University, A. Razmadze Mathematical Institute of

关键词: Systems of linear generalized differential equations;    the modified Lebesgue–Stiltjes (Kurzweil-Stiltjes) integral;    boundary solutions with the Nicoletii multi-point boundary value problem;    construction of solutions;    positiveness;    the effective solvability conditions.;   

DOI  :  10.18514/MMN.2023.3821

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

Effective sufficient conditions are established for existence of bounded solutions satisfying the Nicoletti condition of the systems of linear generalized ordinary differential equations on the real axis. There are given the method of the construction of such solutions. The sufficient conditions of the existence of unique solution and of positiveness of that are established as well. As particular case, there are investigated the problem of existence of bounded solutions.

【 授权许可】

CC BY