Stability of impulsive differential systems

DOI10.1155/2013/253647zbMath1297.34074OpenAlexW2122289337WikidataQ58915691 ScholiaQ58915691MaRDI QIDQ5918233

Lelde Sermone, Andrejs Reinfelds

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/253647

zbMATH Keywords

Banach spacesseparationreduction principle

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Invariant manifolds for ordinary differential equations (34C45)

Related Items (2)

Positive solutions for impulsive differential equations with mixed monotonicity and optimal control ⋮ Stability by linear approximation for time scale dynamical systems

Cites Work

• Geometric theory of discrete nonautonomous dynamical systems
• Reduction principle in the theory of stability of difference equations
• A reduction principle for nonautonomous differential equations
• Dichotomies in stability theory
• A reduction theorem for systems of differential equations with impulse effect in a Banach space
• The reduction principle in the Banach space
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