Lipschitz stability of differential equations with non-instantaneous impulses

DOI10.1186/s13662-016-1045-6zbMath1419.34069OpenAlexW2560635176WikidataQ59459821 ScholiaQ59459821MaRDI QIDQ1628377

Radoslava Terzieva, Snezhana G. Hristova

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-1045-6

zbMATH Keywords

differential equationsLipschitz stabilitynon-instantaneous impulses

Mathematics Subject Classification ID

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

Related Items

Non-instantaneous impulses in Caputo fractional differential equations ⋮ Stability properties of neural networks with non-instantaneous impulses ⋮ Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces ⋮ Controllability analysis of nonlinear fractional order differential systems with state delay and non-instantaneous impulsive effects ⋮ Numerical approach to the controllability of fractional order impulsive differential equations ⋮ On the novel finite-time stability results for uncertain fractional delay differential equations involving noninstantaneous impulses ⋮ Generalized exponential stability of differential equations with non-instantaneous impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on stability of impulsive differential equations
• Periodic solutions for nonlinear evolution equations with non-instantaneous impulses
• Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses
• Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses
• Practical stability in terms of two measures for impulsive differential equations with ``supremum
• Stability on a cone in terms of two measures for impulsive differential equations with ``supremum
• Lipschitz stability of nonlinear systems of differential equations
• On stability of differential systems with noninstantaneous impulses
• On stability of perturbed impulsive differential systems
• Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
• Lipschitz stability of impulsive functional-differential equations
• Strict stability in terms of two measures for impulsive differential equations with ‘supremum’
• On a new class of abstract impulsive differential equations
• A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability