On the asymptotic properties of the solutions of systems of differential equations with impulse effect

DOI10.1016/0022-247X(91)90262-XzbMath0739.34019OpenAlexW2019956592MaRDI QIDQ1176157

D. D. Bainov, Pavel S. Simeonov

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90262-x

zbMATH Keywords

convergencefixed pointinitial value problemSchauder-Tychonov theoremnonlinear system with impulse effect

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability theory of functional-differential equations (34K20) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Cites Work

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• Asymptotic equivalence of two systems of differential equations with impulse effect
• Systems of Differential Equations Subject to Mild Integral Conditions
• Periodic solutions of quasilinear non-autonomous systems with impulses
• Asymptotics of Differential Systems with Deviating Arguments
• Extensions of a Theorem of Wintner on Systems With Asymptotically Constant Solutions
• STABILITY OF THE SOLUTIONS OF SINGULARLY PERTURBED SYSTEMS WITH IMPULSE EFFECT
• Asymptotic Integrations of Second Order Differential Equations with Integrable Coefficients
• Asymptotic integration of a nonhomogeneous differential equation with integrable coefficients
• On a Theorem of Bocher in the Theory of Ordinary Linear Differential Equations
• Applications of functional analysis and operator theory

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