Stability analysis of second order impulsive differential equations

DOI10.1007/s12346-022-00587-wzbMath1501.34052OpenAlexW4225650447WikidataQ115376636 ScholiaQ115376636MaRDI QIDQ2123158

Qian Wen, Donal O'Regan, JinRong Wang

Publication date: 8 April 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00587-w

zbMATH Keywords

representationimpulsive differential equationssecond orderasymptotical stabilityUlam-Hyers-Rassias stability

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (2)

The controllability for second-order semilinear impulsive systems ⋮ Existence and uniqueness of periodic solution to second‐order impulsive differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ulam's type stability of impulsive ordinary differential equations
• Hyers-Ulam stability and discrete dichotomy
• A general class of impulsive evolution equations
• Generalized alomari functionals
• Inequalities for differential and integral equations
• Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems
• Hyers-Ulam stability of linear differential equations of first order.
• Extinction for a discrete competition system with the effect of toxic substances
• Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales
• Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales
• Affine-periodic solutions for impulsive differential systems
• Hyers-Ulam stability of linear differential equations of first order. II
• Hyers-Ulam stability of linear differential equations of first order. III
• On the Stability of the Linear Mapping in Banach Spaces

This page was built for publication: Stability analysis of second order impulsive differential equations