Asymptotic properties of the solutions of nonlinear non-instantaneous impulsive differential equations

DOI10.1016/j.jfranklin.2017.08.011zbMath1373.93159OpenAlexW2745832644MaRDI QIDQ2412490

Donal O'Regan, JinRong Wang, Dan Yang

Publication date: 23 October 2017

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.08.011

zbMATH Keywords

stabilitycontinuous dependence of solutionsimpulsive Cauchy problems (ICPs)nonlinear non-instantaneous impulsive differential equations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items

Existence and finite-time stability of solutions for a class of nonlinear fractional differential equations with time-varying delays and non-instantaneous impulses ⋮ Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces ⋮ A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order ⋮ On the orbital Hausdorff dependence of differential equations with non-instantaneous impulses ⋮ Existence results for non-instantaneous impulsive nonlinear fractional differential equation via variational methods ⋮ Time optimal control of a system governed by non-instantaneous impulsive differential equations ⋮ On the well-posedness and blow-up for a semilinear biparabolic equation ⋮ Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families ⋮ Existence of solutions for fractional differential inclusions with initial value condition and non-instantaneous impulses

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