Stability analysis of first‐order impulsive nonautonomous system on timescales

DOI10.1002/MMA.6253zbMath1450.34073OpenAlexW3004277521MaRDI QIDQ5116864

Bakhtawar Pervaiz, Akbar Zada, Jiafa Xu, Syed Omar Shah

Publication date: 19 August 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6253

zbMATH Keywords

impulsesBanach fixed point theoremdynamic systemtimescale\(\beta\)-Ulam-Hyers stabilitysemilinear nonautonomous system

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Nonautonomous smooth dynamical systems (37C60) Dynamic equations on time scales or measure chains (34N05)

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On Hyers-Ulam stability of a multi-order boundary value problems via Riemann-Liouville derivatives and integrals ⋮ Analysis of \(q\)-fractional implicit differential equation with nonlocal Riemann-Liouville and Erdélyi-Kober \(q\)-fractional integral conditions ⋮ An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects ⋮ Ulam stability of first-order nonlinear impulsive dynamic equations ⋮ Analysis of fractional integro causal evolution impulsive systems on time scales ⋮ Analysis of q‐fractional coupled implicit systems involving the nonlocal Riemann–Liouville and Erdélyi–Kober q‐fractional integral conditions ⋮ On the Bielecki-Ulam's type stability results of first order non-linear impulsive delay dynamic systems on time scales

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