Characterizing the blow-up solutions for nonlinear volterra integral equations

DOI10.1016/S0362-546X(97)00355-6zbMath0891.45003WikidataQ127001916 ScholiaQ127001916MaRDI QIDQ4374926

Catherine A. Roberts

Publication date: 9 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Mellin transformasymptotic analysisnonlinear Volterra integral equationblow-up solutions

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05)

Related Items

Regularity properties of mild solutions for a class of Volterra equations with critical nonlinearities ⋮ Blow-up and superexponential growth in superlinear Volterra equations ⋮ Recent results on blow-up and quenching for nonlinear Volterra equations ⋮ Fractional Cauchy problem with memory effects ⋮ Blow-up behavior of Hammerstein-type Volterra integral equations ⋮ Numerical and asymptotic analysis of a localized heat source undergoing periodic motion ⋮ Blow-up time for solutions to some nonlinear Volterra integral equations ⋮ On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation ⋮ Analysis of explosion for nonlinear Volterra equations

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