BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS

DOI10.1017/S0004972708000439zbMath1162.34066OpenAlexW2113732082MaRDI QIDQ3514868

Ivanka M. Stamova

Publication date: 23 July 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708000439

zbMATH Keywords

impulsive functional differential equationsBoundednessvariable impulsive perturbations

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items (9)

Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations ⋮ Boundedness of stochastic delay differential systems with impulsive control and impulsive disturbance ⋮ Stability analysis of linear impulsive delay dynamical systems via looped-functionals ⋮ Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times ⋮ On the practical stability with respect to \(h\)-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations ⋮ Impulsive effects on global stability of models based on impulsive differential equations with ``supremum and variable impulsive perturbations ⋮ Boundedness of solutions of measure differential equations and dynamic equations on time scales ⋮ On global exponential stability for impulsive cellular neural networks with time-varying delays ⋮ Stability analysis of impulsive functional systems of fractional order

Cites Work

• Theory of functional differential equations. 2nd ed
• Introduction to functional differential equations
• The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations
• Impulsive stabilization of functional differential equations by Lyapunov–Razumikhin functions
• Razumikhin type stability theorems for impulsive functional differential equations
• Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics
• Stability and boundedness for impulsive functional differential equations with infinite delays
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