Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents

Djamel Ouchenane1 Department of Mathematics, Faculty of Sciences, Amar Teleji Laghouat University, Algeria E-Mail [email protected]

Salah Boulaaras2 Department of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Kingdom of Saudi ArabiaCorrespondence[email protected]

Abdelbaki Choucha3 Department of Material Sciences, Faculty of Sciences, Amar Teleji Laghouat University, Algeria;4 Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Algeria E-Mail [email protected]

Mohammad Alnegga5 Department of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Kingdom of Saudi Arabia. E-Mail [email protected]

Abstract

A nonlinear Kirchhoff-type equation with distributed delay and variableexponents is studied. Under suitable hypothesis the blow-up of solutions is proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case b = 0.

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Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents

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Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents

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