A note on blow-up solutions to some nonlinear Volterra integral equations

DOI10.1016/J.AMC.2011.12.009zbMath1247.45005OpenAlexW2023873913MaRDI QIDQ422881

Maciej Niedziela, Tomasz Małolepszy

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.009

zbMATH Keywords

blow-up solutionnonlinear Volterra integral equationexistence of nontrivial solution

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10)

Related Items (3)

Compactness of the set of trajectories of the controllable system described by an affine integral equation ⋮ Analysis of blow-up behavior of solutions to CVIEs ⋮ On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation

Cites Work

• Conditions for blow-up of solutions of some nonlinear Volterra integral equations
• Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel
• Volterra equations which model explosion in a diffusive medium
• Explosion in a diffusive strip due to a concentrated nonlinear source
• A note on Volterra integral equations with power nonlinearity
• Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel
• Nontrivial Solutions to Nonlinear Volterra Integral Equations

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