Nonlinear impulsive differential equations with weighted exponential or ordinary dichotomous linear part in a Banach space

DOI10.1155/2015/748607zbMath1339.34067OpenAlexW1934344298WikidataQ59106953 ScholiaQ59106953MaRDI QIDQ274763

Andrey Zahariev, Hristo S. Kiskinov

Publication date: 25 April 2016

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/748607

zbMATH Keywords

\(\psi\)-bounded solutionsBanach's fixed-point principle

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Growth and boundedness of solutions to ordinary differential equations (34C11) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Cites Work

• Bounded and periodic solutions of differential equations with impulse effect in a Banach space
• Exponential dichotomy of linear impulsive differential equations in a Banach space
• Characteristic exponents of impulsive differential equations in a Banach space
• Existence of solutions of nonlinear impulsive differential equations with exponentially dichotomous or dichotomous linear part
• Dichotomies in stability theory
• Weighted exponential stability for generalized delay functional differential equations with bounded delays
• PSI-ORDINARY DICHOTOMY OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS IN A BANACH SPACE
• Existence of solutions of nonlinear differential equations with ψ-exponential or ψ-ordinary dichotomous linear part in a Banach space
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