Differentiability of solutions of systems with impulse effect with respect to initial data and parameter

DOI10.1017/S0013091500006751zbMath0689.34003OpenAlexW2019003456MaRDI QIDQ3031265

D. D. Bainov, Pavel S. Simeonov

Publication date: 1988

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500006751

zbMATH Keywords

Alekseev's formulasystem with impulse effect

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items

Quasi-diagonalization of linear impulsive systems and applications, Continuous dependence and differentiability of solutions of second-order impulsive differential equations on initial values and impulsive points, Perturbations and Hopf bifurcation of the planar discontinuous dynamical system, On the smoothness of solutions of impulsive autonomous systems

Cites Work

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• Asymptotic equivalence of two systems of differential equations with impulse effect
• Stability under persistent disturbances for systems with impulse effect
• On the stability of differential systems with respect to impulsive perturbations
• On the application of the averaging method for systems of integro-differential equations of standard type with discontinuous right-hand side
• On boundedness of impulsively perturbed systems
• Stability with respect to part of the variables in systems with impulse effect