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

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

In this paper we investigate certain nonlinear Volterra integral equations with the power nonlinearity. The basic results provide a criterion involving the kernel and the nonlinearity for the existence of the nontrivial and blow-up solution.

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Veröffentlicht in:Applied mathematics and computation 2012-02, Vol.218 (11), p.6401-6406
Hauptverfasser: Małolepszy, Tomasz, Niedziela, Maciej
Format: Artikel
Sprache:eng
Schlagworte:
Blow-up solution
Computation
Criteria
Existence of nontrivial solution
Kernels
Mathematical models
Nonlinear Volterra integral equation
Nonlinearity
Volterra integral equations
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Beschreibung
Zusammenfassung:In this paper we investigate certain nonlinear Volterra integral equations with the power nonlinearity. The basic results provide a criterion involving the kernel and the nonlinearity for the existence of the nontrivial and blow-up solution.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.12.009