Work

Global existence and asymptotic behavior for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, distributed delay and Balakrishnan-Taylor damping terms

Year: 2021

Type: article

Abstract: A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, Balakrishnan-Taylor damping, dispersion and distributed delay terms is studied. We establish the global existence of the solutions of the problem and by the energy method we prove an explicit and general decay rate result under suitable hypothesis.

Source: AIMS Mathematics

DOI: 10.3934/math.2022252

Authors: Abdelbaki Choucha, Salah Boulaaras, Asma Alharbi

Institutions: Qassim University, University of Eloued, Amar Telidji University of Laghouat

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4206290437

FWCI: 0.334

Cites: 27

Cited by: 5

Related to: 10