Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method

DOI10.1007/s11587-015-0243-yzbMath1330.45002OpenAlexW1096066548MaRDI QIDQ891904

Antonia Vecchio, Elvira Russo, Eleonora Messina

Publication date: 18 November 2015

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-015-0243-y

zbMATH Keywords

stabilitytime scalesLyapunov methodVolterra integral equations

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (4)

Stability analysis of linear Volterra equations on time scales under bounded perturbations ⋮ Importance of Darcy or Brinkman laws upon resonance in thermal convection ⋮ Nonsmooth spin densities for continuous Heisenberg spin chains ⋮ Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions

Cites Work

• Linearized stability analysis of discrete Volterra equations
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling
• Basic calculus on time scales and some of its applications
• Introduction to functional differential equations
• Dynamic equations on time scales: A survey
• Stability and convergence of solutions to Volterra integral equations on time scales
• Stability for time varying linear dynamic systems on time scales
• Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
• Properties of some dynamic integral equations on time scales
• Stability of difference Volterra equations: Direct Lyapunov method and numerical procedure
• Volterra theory on time scales
• Integral equations and stability of feedback systems
• On Volterra integral equations on time scales
• On admissibility of the resolvent of discrete Volterra equations
• EXISTENCE OF RESOLVENT FOR VOLTERRA INTEGRAL EQUATIONS ON TIME SCALES
• Stability of perturbed dynamic system on time scales with initial time difference
• On the asymptotic stability of linear Volterra difference equations of convolution type
• Volterra integral and differential equations
• Volterra discrete equations: Summability of the fundamental matrix
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