Analysis of explosion for nonlinear Volterra equations

DOI10.1016/S0377-0427(98)00108-3zbMath0932.45007OpenAlexW2068737524MaRDI QIDQ1298635

Catherine A. Roberts

Publication date: 6 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00108-3

zbMATH Keywords

asymptotic behaviorsingularitycombustionquenchingblow-up solutionVolterra integral equationsexplosion

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Combustion (80A25) Singular nonlinear integral equations (45G05)

Related Items

Blow-up and superexponential growth in superlinear Volterra equations, Recent results on blow-up and quenching for nonlinear Volterra equations, Conditions for blow-up of solutions of some nonlinear Volterra integral equations, Solvability of nonlinear integral equations of Volterra type, The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations, Blow-up behavior of Hammerstein-type Volterra integral equations, Numerical and asymptotic analysis of a localized heat source undergoing periodic motion, A quenching problem for the heat equation, Remarks on coupled Abel type integral equations, Coupled Volterra integral equations with blowing up solutions, Blow-up conditions for nonlinear Volterra integral equations with power nonlinearity, BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE, Blow-up solutions to a system of nonlinear Volterra equations, Blow-up time for solutions to some nonlinear Volterra integral equations, A multiple nonlinear Abel type integral equation, Moment explosions in the rough Heston model, On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation, Blowing up behavior for a class of nonlinear VIEs connected with parabolic PDEs, A perspective on the numerical treatment of Volterra equations

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