Asymptotic solution to a class of singularly perturbed Volterra integral equations

DOI10.4310/MAA.1995.v2.n2.a6zbMath0840.45006OpenAlexW2674719232MaRDI QIDQ1907527

L. A. Skinner

Publication date: 4 July 1996

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1995.v2.n2.a6

zbMATH Keywords

singular perturbationasymptotic solutionasymptotic expansionpopulation growthnonlinear Volterra integral equationsquasilinear ordinary differential equationsexponential boundary layer behaviour

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

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A survey of singularly perturbed Volterra equations ⋮ Systems of singularly perturbed fractional integral equations ⋮ Rigorous results on the asymptotic solutions of singularly perturbed nonlinear Volterra integral equations ⋮ Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations ⋮ Tension spline collocation methods for singularly perturbed Volterra integro-differential and Volterra integral equations