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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 ...
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 ...