Results 1 to 10 of about 3,679,425 (232)

Global existence, energy decay and blow-up of solutions for wave equations with time delay and logarithmic source

Advances in Difference Equations, 2020
In this paper, we study the wave equation with frictional damping, time delay in the velocity, and logarithmic source of the form u t t ( x , t ) − Δ u ( x , t ) + α u t ( x , t ) + β u t ( x , t − τ ) = u ( x , t ) ln | u ( x , t ) | γ . $$ u_{tt}(x,t) -
Sun-Hye Park
doaj   +2 more sources

Convergence Rate of Runge-Kutta-Type Regularization for Nonlinear Ill-Posed Problems under Logarithmic Source Condition

Mathematics, 2021
We prove the logarithmic convergence rate of the families of usual and modified iterative Runge-Kutta methods for nonlinear ill-posed problems between Hilbert spaces under the logarithmic source condition, and numerically verify the obtained results. The
Pornsarp Pornsawad, Elena Resmerita, Christine Böckmann   +2 more
doaj   +3 more sources

Results from a Nonlinear Wave Equation with Acoustic and Fractional Boundary Conditions Coupling by Logarithmic Source and Delay Terms: Global Existence and Asymptotic Behavior of Solutions

Mathematics
The nonlinear wave equation with acoustic and fractional boundary conditions, coupled with logarithmic source and delay terms, is significant for its ability to model complex systems, its contribution to the advancement of mathematical theory, and its ...
Abdelbaki Choucha, Salah Boulaaras, Ali Allahem, Asma Alharbi, Rashid Jan   +4 more
doaj   +3 more sources

Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term

Advances in Nonlinear Analysis, 2019
The main goal of this work is to investigate the initial boundary value problem of nonlinear wave equation with weak and strong damping terms and logarithmic term at three different initial energy levels, i.e., subcritical energy E(0) < d, critical ...
Lian Wei, Xu Runzhang
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Blow up of Solution for a Nonlinear Viscoelastic Problem with Internal Damping and Logarithmic Source Term

Вестник КазНУ. Серия математика, механика, информатика, 2022
This paper is concerned with blow up of weak solutions of the following nonlinear viscoelastic problem with internal damping and logarithmic source term |ut|ρutt + M(∥u∥2)(-∆u) - ∆utt + Z0t g(t - s)∆u(s)ds + ut = u|u|p R-2 ln |u|k R with Dirichlet ...
J. Ferreira, M. Shahrouzi, S. Cordeiro, D. Rocha   +3 more
doaj   +1 more source

Global solutions and exponential decay to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping and nonlinear logarithmic source term

Partial Differential Equations in Applied Mathematics, 2021
This paper is concerned with the existence and exponential stability of the global solution to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping −Δutand logarithmic source term uln|u|R2.
S.M.S. Cordeiro, D.C. Pereira, J. Ferreira, C.A. Raposo   +3 more
doaj   +1 more source

Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping [PDF]

Mathematica Moravica, 2021
A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow
Ferreira Jorge, Pışk˙ın Erhan, Irkıl Nazlı, Raposo Carlos A.   +3 more
doaj   +1 more source

Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source

Advances in Mathematical Physics, 2021
In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, we obtain the local and global existence of solutions by the logarithmic Sobolev inequality and the Faedo-Galerkin method ...
Hazal Yüksekkaya, Erhan Pișkin, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif, Sulima Ahmed Zubair   +4 more
doaj   +1 more source

On Behavior of Solutions for Nonlinear Klein–Gordon Wave Type Models with a Logarithmic Nonlinearity and Multiple Time-Varying Delays

Axioms, 2023
In this paper, we study the existence and exponential stability of solutions to a class of nonlinear delay Klein–Gordon wave type models on a bounded domain.
Aziz Belmiloudi
doaj   +1 more source

Blowup for nonlinearly damped viscoelastic equations with logarithmic source and delay terms

Advances in Difference Equations, 2021
In this work, we investigate blowup phenomena for nonlinearly damped viscoelastic equations with logarithmic source effect and time delay in the velocity.
Sun-Hye Park
doaj   +1 more source