Existence of solutions of nonlinear impulsive differential equations with exponentially dichotomous or dichotomous linear part

DOI10.1007/BF00675617zbMath0738.34012MaRDI QIDQ1181826

D. D. Bainov, Stepan Kostadinov, Peter P. Zabreĭko

Publication date: 27 June 1992

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessexponential dichotomynonlinear impulsive differential equationsdichotomous linear part

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Nonlinear impulsive differential equations with weighted exponential or ordinary dichotomous linear part in a Banach space ⋮ Asymptotic equivalence of abstract impulsive differential equations

Cites Work

• Unnamed Item
• 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
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect

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