Stability analysis of linear Volterra equations on time scales under bounded perturbations
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Publication:285073
DOI10.1016/j.aml.2016.02.020zbMath1381.45011OpenAlexW2294480178MaRDI QIDQ285073
Antonia Vecchio, Eleonora Messina
Publication date: 18 May 2016
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2016.02.020
Stability theory for integral equations (45M10) Volterra integral equations (45D05) Dynamic equations on time scales or measure chains (34N05)
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Simplified reproducing kernel method and convergence order for linear Volterra integral equations with variable coefficients ⋮ Qualitative analysis of dynamic equations on time scales using Lyapunov functions ⋮ Nabla inequalities and permanence for a logistic integrodifferential equation on time scales ⋮ Stability of numerical solutions for Abel-Volterra integral equations of the second kind ⋮ Recent results on summations and Volterra difference equations via Lyapunov functionals ⋮ Stability of stochastic dynamic equations with time-varying delay on time scales
Cites Work
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- Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method
- Nonlinear stability of direct quadrature methods for Volterra integral equations
- Stability of perturbed dynamic system on time scales with initial time difference
- Volterra discrete equations: Summability of the fundamental matrix
- Quantum calculus
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