Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity
الموضوعات : فصلنامه ریاضی
Mahammad Khuddush
1
,
Kapula Rajendra Prasad
2
,
Bharathi Botta
3
1 - Department of Applied Mathematics
Andhra University
Visakhapatnam
India-530003
2 - Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, India
3 - Department of Applied Mathematics
Andhra University
Visakhapatnam
India-530003
الکلمات المفتاحية: Delay, Wave Equation, Local existence, blow up, logarithmic nonlinearity,
ملخص المقالة :
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.
