On preserving stability of Volterra integral equations under a general class of perturbations

DOI10.1007/BF01704015zbMath0316.45029OpenAlexW2089832059MaRDI QIDQ4076044

John M. Bownds, Jim M. Cushing

Publication date: 1975

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01704015

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Stability theory for integral equations (45M10) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (9)

On the stability of volterra integral equations with seperable kernels ⋮ Stability of perturbed Volterra integral equations ⋮ Sense from sensitivity and variation of parameters ⋮ Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences ⋮ A nonlinear variation of constants method for integro differential and integral equations ⋮ On a Perturbed System of Volterra Integral Equations ⋮ Some stability criteria for multiple Volterra integral equations with an application to gas chromatography ⋮ Preservation of stability and asymptotic behaviour of perturbed integrodifferential equations in a Banach space ⋮ Preservation of Uniform Asymptotic Stability Under Perturbations

Cites Work

• Problèmes globaux dans la théorie des équations intégrales de Volterra
• On Volterra integral equations with nonnegative integrable resolvents
• On the linearization of Volterra integral equations
• Perturbations of Volterra integral equations
• Perturbation theorems for ordinary differential equations
• On a perturbed Volterra integral equation
• Perturbation theory for Volterra integrodifferential systems
• Some stability theorems for systems of volterra integral equations
• Strong stability of perturbed systems of Volterra integral equations
• On strong stability for linear integral equations
• Admissibility and Nonlinear Volterra Integral Equations
• Existence and Stability of a Class of Nonlinear Volterra Integral Equations
• A representation formula for linear Volterra integral equations
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