Boundedness and stability of impulsively perturbed systems in a Banach space

DOI10.1007/BF00675173zbMath0814.34047arXivfunct-an/9312001MaRDI QIDQ1345415

Leonid Berezansky, Elena Braverman

Publication date: 6 March 1995

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

Full work available at URL: https://arxiv.org/abs/funct-an/9312001

zbMATH Keywords

exponential stabilityBanach spacebounded solutionsimpulsive perturbationslinear impulsive equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Growth and boundedness of solutions to ordinary differential equations (34C11) Linear differential equations in abstract spaces (34G10)

Related Items (4)

Uniform exponential stability of first-order dynamic equations with several delays ⋮ The problem of a lazy tester, or exponential dichotomy for impulsive differential equations revisited ⋮ Perron's theorem for linear impulsive differential equations with distributed delay ⋮ Difference approximations for impulsive differential equations

Cites Work

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• Exponential dichotomy of linear impulsive differential equations in a Banach space
• Stability of the general exponent of nonlinear impulsive differential equations in a Banach space
• Characteristic exponents of impulsive differential equations in a Banach space
• Continuous dependence on a parameter of the solutions of impulsive differential equations in a Banach space
• Impulsive control systems with commutative vector fields
• Exponential stability of linear delay impulsive differential equations

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