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Blow-up of solutions for a logarithmic quasilinear hyperbolic equation with delay term
(Univ. Prithtines, 2021)
In this work, we deal with a logarithmic quasilinear hyperbolic equation with delay term. Under suitable conditions, we get blow up of solutions in a finite time. Our results are more general than the earlier results.
Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities
(Texas State University, 2021)
In this article, we consider a nonlinear plate (or beam) Petrovsky equation with strong damping and source terms with variable exponents. By using the Banach contraction mapping principle we obtain local weak solutions, ...
Blow up and global existence of solution for a riser problem with logarithmic nonlinearity
(Yıldız Technical University, 2021)
In this work, we analyze the influence of the logarithmic source term on solutions to quasilinear riser equation. Firstly, we prove blow up results. Later, we obtain that solutions are global with negative initial energy.
Growth of solutions for fourth order viscoelastic system
(Yıldız Technical University, 2021)
We consider a system of viscoelastic equations with degenerate damping and source terms under Dirichlet boundary condition. We prove the exponential growth of solutions under some restrictions on the initial data, relaxation ...
Local existence and nonexistence of global solutions for a plate equation with time delay
(Yıldız Technical University, 2021)
In this article, we study a plate equation with frictional damping, nonlinear source and time delay. Firstly, we establish the local existence by using the semigroup theory. Then, under suitable conditions, we prove the ...
Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term
(Hindawi LTD, 2021)
This article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial boundary conditions, where firstly, we prove the global existence result of the solution. Then, ...
On a couple of nonlocal singular viscoelastic equations with damping and general source terms: Blow-up of solutions
(Hindawi LTD, 2021)
Under some given conditions, we prove the explosion result of the solution of the system of nonlocal singular viscoelastic with
damping and source terms on general case. This current study is a general case of the previous ...
Qualitative analysis of solutions for a Kirchhoff-type parabolic equation with multiple nonlinearities
(Hacettepe University Faculty of Science, 2021)
In this work, the local and global existence of weak solutions by using the Faedo-Galerkin
method, the finite time blow up of the weak solution with positive initial energy and the
general decay of the solution are ...
Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity
(Ankara University Faculty of Science, 2021)
Abstract. The main goal of this paper is to study for the local existence
and decay estimates results for a high-order viscoelastic wave equation with
logarithmic nonlinearity. We obtain several results: Firstly, by using ...
Qualitative analysis of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity
(American Institute of Physics, 2021)
In paper, we consider a system of Kirchhoff type with logarithmic nonlinearity. We prove the global existence of weak solutions by using the potential well method.