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