Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel

DOI10.1216/JIEA/1181075632zbMath0745.45001OpenAlexW1966201662MaRDI QIDQ1182518

Wojciech Okrasiński

Publication date: 28 June 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075632

zbMATH Keywords

existenceVolterra integral equationspositive nontrivial solution

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Positive solutions of integral equations (45M20)

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A new proof of existence of solutions for a class of nonlinear Volterra equations ⋮ Blow-up solutions in one-dimensional diffusion models ⋮ Nonlinear Volterra integral equations and the Schröder functional equation ⋮ Conditions for blow-up of solutions of some nonlinear Volterra integral equations ⋮ Blow-up behavior of Hammerstein-type Volterra integral equations ⋮ A note on blow-up solutions to some nonlinear Volterra integral equations ⋮ A note on Volterra integral equations with power nonlinearity ⋮ Blow-up conditions for nonlinear Volterra integral equations with power nonlinearity ⋮ Osgood type condition for the Volterra integral equations with bounded and nonincreasing kernels ⋮ Blow-up time for solutions to some nonlinear Volterra integral equations ⋮ 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

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