Volterra integro-differential equations and infinite systems of ordinary differential equations

DOI10.1016/j.mcm.2004.01.014zbMath1087.45002OpenAlexW2019465742MaRDI QIDQ815319

N. E. Zubov

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.01.014

zbMATH Keywords

systemsVolterra integro-differential equationsreduction methodHilbert-Schmidt kernelinfinite systems of ordinary differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Nonlinear ordinary differential equations and systems (34A34) Systems of nonlinear integral equations (45G15)

Related Items (5)

About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations ⋮ Reproduction number and asymptotic stability for the dynamics of a honey bee colony with continuous age structure ⋮ Singular perturbed integro-differential Volterra equation and Drazin's inverse singular matrices ⋮ Asymptotic equivalence of ordinary and impulsive operator-differential equations ⋮ Non-linear Volterra IDE, infinite systems and normal forms of ODE

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• A general theory of heat conduction with finite wave speeds
• Stability of a linear integro-differential equation with periodic coefficients
• Volterra integral and differential equations

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