Characteristic exponents of impulsive differential equations in a Banach space

DOI10.1007/BF00669318zbMath0655.34052MaRDI QIDQ1109204

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

Publication date: 1988

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

zbMATH Keywords

boundedness of solutionsevolutionary operatorimpulsiv differential equationimpulsive moments

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05) General theory for ordinary differential equations (34A99)

Related Items (11)

Kinematical similarity and exponential dichotomy of linear abstract impulsive differential equations ⋮ Nonlinear impulsive differential equations with weighted exponential or ordinary dichotomous linear part in a Banach space ⋮ Topological equivalence and exponential dichotomy of linear impulsive equations ⋮ Boundedness and stability of impulsively perturbed systems in a Banach space ⋮ L_p-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space ⋮ Asymptotic equivalence of abstract impulsive differential equations ⋮ Existence of solutions of nonlinear impulsive differential equations with exponentially dichotomous or dichotomous linear part ⋮ Properties of the \(L_ p\)-solutions of linear impulsive equations in a Banach space ⋮ Necessary and sufficient conditions for existence of exponential dichotomy of impulsive equations ⋮ Properties of the \(L_ p\)-solutions of linear impulsive equations in a Banach space ⋮ The problem of a lazy tester, or exponential dichotomy for impulsive differential equations revisited

Cites Work

• Stability under persistent disturbances for systems with impulse effect
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