A nonlinear variation of constants method for integro differential and integral equations

DOI10.1016/0096-3003(78)90023-1zbMath0374.45008OpenAlexW2083025399MaRDI QIDQ1245379

M. E. Lord, Stephen R. Bernfeld

Publication date: 1978

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10106/2194

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (10)

On some variation of parameter methods for integrodifferential, integral, and quasilinear partial integrodifferential equations ⋮ On the stability of volterra integral equations with seperable kernels ⋮ Nonlinear variation of parameters formula for integro-differential equations of Volterra type ⋮ Solutions of \(n\)-point boundary value problems associated with nonlinear summary difference equations ⋮ On the solution of Volterra integral equations with decomposable kernel functions ⋮ A new approach to the method of nonlinear variation of parameters for a perturbed nonlinear neutral functional differential equation ⋮ Errata: Coefficient-parameter polynomial continuation ⋮ A perspective on the numerical treatment of Volterra equations ⋮ Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations ⋮ Nonlinear variation of parameter methods for summary difference equations in several independent variables

Cites Work

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• 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
• Perturbing Uniform Ultimate Bounded Differential Systems
• A nonlinear variation of constants formula for volterra equations

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