A new upper estimation for the blow-up time of solutions of a Volterra integral equation and its application to the modeling of the formation of shear bands

DOI10.1016/J.JMAA.2016.11.035zbMath1356.45004OpenAlexW2554499385MaRDI QIDQ730196

Tomasz Małolepszy

Publication date: 23 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.035

zbMATH Keywords

nonlinear Volterra integral equationblow-up solutionsconvolution typeestimation of the blow-up timeformation of shear bands

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (1)

Analysis of blow-up behavior of solutions to CVIEs

Cites Work

• Nonlinear Volterra integral equations and the Schröder functional equation
• Propagation of simple non-linear waves in gas filled tubes with friction
• Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel
• A condition for finite blow-up time for a Volterra integral equation
• Volterra equations which model explosion in a diffusive medium
• Shear bands as surfaces of discontinuity
• Explosion in a diffusive strip due to a concentrated nonlinear source
• Osgood type condition for the Volterra integral equations with bounded and nonincreasing kernels
• Blow-up time for solutions to some nonlinear Volterra integral equations
• Blow-up solutions in one-dimensional diffusion models
• Dimensional Influence on Blow-Up in a Superdiffusive Medium
• Thermal Blow-up in a Subdiffusive Medium
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