Asymptotic theory for bi-dimensional linear impulsive differential systems, nonelliptic case

DOI10.1016/S0362-546X(97)00587-7zbMath0965.34006OpenAlexW2079237420MaRDI QIDQ4238356

Samuel Castillo, Manuel Pinto

Publication date: 2 August 2001

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00587-7

zbMATH Keywords

existenceasymptotic integrationasymptotic theoryprincipal and nonprincipal solutionsnonellipticbi-dimensional linear impulsive differential systemsgeneral perturbed system

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• Ghizzetti's theorem for piecewise continuous solutions
• Conditional stability for piecewise continuous solutions of differential equations
• Quasi-diagonalization of linear impulsive systems and applications
• Orbital stability of the periodic solutions of autonomous systems with impulse effect
• Asymptotic behavior of impulsive differential equations

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