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Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity

Publish Year: 1400
Type: Journal paper
Language: English
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JR_IJMAC-11-3_001

Index date: 17 January 2023

Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity abstract

In this paper, we consider a system of viscoelastic wave equations of Kirchhoff type with delay and logarithmic nonlinearity. We obtain the local existence of solution by using the Faed-Galerkin approximation and under suitable conditions, we prove the blow up of solutions in finite time.

Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity Keywords:

Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity authors

Mahammad Khuddush

Department of Applied Mathematics Andhra University Visakhapatnam India-۵۳۰۰۰۳

Kapula Rajendra Prasad

Department of Applied Mathematics‎, ‎College of Science and Technology‎, ‎Andhra University‎, ‎Visakhapatnam‎‎, ‎India

Bharathi Botta

Department of Applied Mathematics Andhra University Visakhapatnam India-۵۳۰۰۰۳