Conditions for blow-up of solutions of some nonlinear Volterra integral equations

DOI10.1016/J.CAM.2006.02.054zbMath1123.45003OpenAlexW1969056346MaRDI QIDQ885926

Tomasz Małolepszy, Wojciech Okrasiński

Publication date: 14 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.054

zbMATH Keywords

combustion modelsexplosion of solutions

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Combustion (80A25)

Related Items (12)

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations ⋮ Nonlinear Volterra integral equations and the Schröder functional equation ⋮ Blow-up solutions of nonlinear Volterra integro-differential equations ⋮ 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 ⋮ A note on blow-up solutions to some nonlinear Volterra integral equations ⋮ Analysis of blow-up behavior of solutions to CVIEs ⋮ Blow-up conditions for nonlinear Volterra integral equations with power nonlinearity ⋮ Blow-up time for solutions to some nonlinear Volterra integral equations ⋮ A multiple nonlinear Abel type integral equation ⋮ Global existence and blow-up analysis to a cooperating model with self-diffusion ⋮ On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation

Cites Work

• Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel
• Analysis of explosion for nonlinear Volterra equations
• A condition for finite blow-up time for a Volterra integral equation
• Volterra equations which model explosion in a diffusive medium
• Note on Kernels to some Nonlinear Volterra Integral Equations
• The existance of nontrival solutions of Volterra equations.
• Unique solutions of some Voltera integral equations.
• Nontrivial Solutions to Nonlinear Volterra Integral Equations
• Nonlinear Volterra Integral Equations and the Apéry Identities
• On the Maximal Interval of Existence for Solutions to Some Non-Linear Volterra Integral Equations with Convolution Kernel
• Remarks on a nonlinear Volterra equation

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