Blow-up of the solution for higher-order integro-differential equation with nonlinear dissipation (Q2906100)

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scientific article; zbMATH DE number 6073378
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Blow-up of the solution for higher-order integro-differential equation with nonlinear dissipation
scientific article; zbMATH DE number 6073378

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    28 August 2012
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    blow up solution
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    relaxation function
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    initial boundary value problem
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    nonlinear integro-differential equation
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    Blow-up of the solution for higher-order integro-differential equation with nonlinear dissipation (English)
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    This paper deals with a class of nonlinear integro-differential equations with initial conditions and homogeneous boundary values. The equations are more general than some equations of earlier papers.NEWLINENEWLINEBy using a suitable condition, the authors tell us that the solution blows up in the finite time. This is a new result, which includes and extends some existing results.
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