PSI-EXPONENTIAL DICHOTOMY FOR LINEAR DIFFERENTIAL EQUATIONS IN A BANACH SPACE

被引：0

作者：

Georgieva, Atanaska ^{[1
]}

Kiskinov, Hristo ^{[1
]}

Kostadinov, Stepan ^{[1
]}

Zahariev, Andrey ^{[1
]}

机构：

[1] Paisij Hilendarski Univ Plovdiv, Fac Math & Informat, Plovdiv 4003, Bulgaria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Dichotomy for ordinary differential equations; psi-dichotomy; psi-boundedness; psi-stability; BOUNDED SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we extend the concept psi-exponential and psi-ordinary dichotomies for homogeneous linear differential equations in a Banach space. With these two concepts we prove the existence of psi-bounded solutions of the appropriate inhomogeneous equation. A roughness of the psi-dichotomy is also considered.

引用

页数：13

共 13 条

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[3] [Anonymous], 1978, ATTI ACCAD NAZ LIN
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[5] Daleckii JuL., 1974, STABILITY SOLUTIONS, V43, DOI DOI 10.1090/MMONO/043
[6] Diamandescu A, 2008, ELECTRON J QUAL THEO, P1
[7] Diamandescu A, 2004, ELECTRON J DIFFER EQ
[8] Diamandescu A, 2009, KUWAIT J SCI ENG, V36, P35
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[10] Massera J., 1966, Linear differential equations and function spaces

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