On the smoothness of solutions of impulsive autonomous systems

DOI10.1016/j.na.2004.08.028zbMath1067.34006OpenAlexW2156288858MaRDI QIDQ707225

Marat U. Akhmet

Publication date: 9 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.028

zbMATH Keywords

analytic dependence of solutions on parameterautonomous impulsive differential equationdifferentiable dependence of solutions on parameter

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (7)

The principles of \(B\)-smooth discontinuous flows ⋮ Discontinuous dynamics with grazing points ⋮ Relaxed controls for nonlinear fractional impulsive evolution equations ⋮ Periodic BVPs for fractional order impulsive evolution equations ⋮ Grazing in Impulsive Differential Equations ⋮ Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions ⋮ Relaxation results for hybrid inclusions

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the general problem of stability for impulsive differential equations.
• Differentiability of solutions of systems with impulse effect with respect to initial data and parameter
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• On quasi stability for impulsive differential systems
• Impulsive Parametric Excitation: Theory
• Impulsive differential equations with variable times
• A new model for simple neural nets and its application in the design of a neural oscillator
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side
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