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Blow-up solutions of second-order differential inequalities with a nonlinear memory term

Authors:	Ahmad Z Fino Mustapha Jazar

Institution:	^a LaMA-Liban, Azm Research Center, EDST, Lebanese University, P.O. Box 37, Tripoli, Lebanon ^b School of Arts and Sciences, Lebanese International University (LIU), Tripoli Campus, Dahr el Ain Road, Tripoli, Lebanon

Abstract:	We consider the Cauchy problem for second-order nonlinear ordinary differential inequalities with a nonlinear memory term. We obtain blow-up results under some conditions on the initial data. We also give an application to a semilinear hyperbolic equation in a bounded domain.

Keywords:	26D10 35B44 35L71
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