Impulse systems with fixed shock times of general disposition: Existence, uniqueness of solution, and the well-posedness of the Cauchy problem

DOI10.1007/BF01071015zbMath0722.34008MaRDI QIDQ755955

E. P. Trofimchuk, Sergei I. Trofimchuk

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

initial value problemsExistence, uniqueness and well-posednessimpulse systems of differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Periodic solutions of pulse evolutionary systems with unbounded nonlinearities ⋮ Existence and uniqueness of solution of stochastic dynamic systems with Markov switching and concentration points ⋮ Impulse systems with fixed moments of shocks of general position: the structure of the set of shock moments ⋮ Singular integral equation equivalent in the space of smooth functions to an ordinary differential equation, method of successive approximations for the construction of its smooth solutions and its nonsmooth solutions

Cites Work

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• Existence and stability of measure differential equations

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