Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term

2020 ◽  
Vol 114 (4) ◽  
Author(s):  
Nadjat Doudi ◽  
Salah Boulaaras
Keyword(s):  
Global Existence ◽  
Distributed Delay ◽  
General Decay ◽  
Delay Term ◽  
Decay Of Solutions

scholarly journals General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term

2021 ◽  
Vol 52 ◽  
Author(s):  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Khaled Zennir
Keyword(s):  
Energy Method ◽  
Elastic System ◽  
Distributed Delay ◽  
General Decay ◽  
Lyapunov Functionals ◽  
One Dimensional ◽  
Delay Term ◽  
Decay Of Solutions ◽  
With Memory

As a continuity to the study by T. A. Apalarain[3], we consider a one-dimensional porous-elastic system with the presence of both memory and distributed delay terms in the second equation. Using the well known energy method combined with Lyapunov functionals approach, we prove a general decay result given in Theorem 2.1.

Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms

2021 ◽  
pp. 1-16
Author(s):  
Nouri Boumaza ◽  
Billel Gheraibia
Keyword(s):  
Global Existence ◽  
Nonlinear Boundary ◽  
Blow Up ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Asymptotic Behavior Of Solutions ◽  
Source Terms ◽  
Delay Term ◽  
Laplacian Equation ◽  
Decay Of Solutions

In this paper, we consider the initial boundary value problem for the p-Laplacian equation with weak and p-Laplacian damping terms, nonlinear boundary, delay and source terms acting on the boundary. By introducing suitable energy and perturbed Lyapunov functionals, we prove global existence, finite time blow up and asymptotic behavior of solutions in cases p > 2 and p = 2. To our best knowledge, there is no results of the p-Laplacian equation with a nonlinear boundary delay term.

scholarly journals Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-20 ◽  
Author(s):  
Nadia Mezouar ◽  
Salah Mahmoud Boulaaras ◽  
Sultan Alodhaibi ◽  
Salem Alkhalaf
Keyword(s):  
Global Existence ◽  
Stability Estimate ◽  
Time Varying ◽  
Delay Term ◽  
Time Varying Delay ◽  
Global Existence Of Solutions ◽  
Nonlinear Viscoelastic ◽  
Decay Of Solutions ◽  
Weight Condition ◽  
Varying Delay

This paper deals with the global existence of solutions in a bounded domain for nonlinear viscoelastic Kirchhoff system with a time varying delay by using the energy and Faedo–Galerkin method with respect to the delay term weight condition in the feedback and the delay speed. Furthermore, by using some convex functions properties, we prove a uniform stability estimate.

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