Derivation of variation of parameters formulas for non-linear Volterra equations, using a method of embedding

DOI10.1216/JIE-2013-25-2-159zbMath1285.45003MaRDI QIDQ380220

Ephraim O. Agyingi, Christopher T. H. Baker

Publication date: 13 November 2013

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1383573821

zbMATH Keywords

perturbation analysisnonlinear Volterra equationvariation of parameters

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (2)

Nonlinear variation of constants formula for differential equations with state-dependent delays ⋮ On the solution of Volterra integral equations with decomposable kernel functions

Cites Work

• On some variation of parameter methods for integrodifferential, integral, and quasilinear partial integrodifferential equations
• Nonlinear variation of parameters formula for integro-differential equations of Volterra type
• Volterra integral equations
• Nonlinear variation of parameter methods for summary difference equations in several independent variables
• Method of Variation of Parameters for Dynamic Systems
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• A nonlinear variation of constants formula for volterra equations
• A representation formula for linear Volterra integral equations
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