Results 1 to 10 of about 8,124,716 (387)
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities [PDF]
Boundary Value Problems, 2022 In this paper, we consider a viscoelastic von Karman equation with damping, delay, and source effects of variable exponent type. Firstly, we show the global existence of solution applying the potential well method.
Sun‐Hye Park
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General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms [PDF]
Boundary Value Problems, 2020 The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term.
Salah Boulaaras +3 more
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New general decay rates of solutions for two viscoelastic wave equations with infinite memory
Mathematical Modelling and Analysis, 2020 We consider in this paper the problem of asymptotic behavior of solutions for two viscoelastic wave equations with infinite memory. We show that the stability of the system holds for a much larger class of kernels and get better decay rate than the ones ...
Aissa Guesmia
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper focuses on the general decay stability of nonlinear neutral stochastic pantograph equations with Markovian switching (NSPEwMSs). Under the local Lipschitz condition and non-linear growth condition, the existence and almost sure stability with ...
Wei Mao, Liangjian Hu, Xuerong Mao
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New general decay results in an infinite memory viscoelastic problem with nonlinear damping
Boundary Value Problems, 2019 This work is concerned with a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g′(t)≤−ξ(t)gp(t),t≥0,1 ...
Adel M. Al-Mahdi +1 more
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General decay rate of a weakly dissipative viscoelastic equation with a general damping [PDF]
Opuscula Mathematica, 2020 In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.
Khaleel Anaya, Salim A. Messaoudi
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AIMS Mathematics, 2021 The purpose of this paper is to establish a general stability result for a one-dimensional linear swelling porous-elastic system with past history, irrespective of the wave speeds of the system.
Adel M. Al-Mahdi +2 more
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General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II
Journal of Function Spaces, 2022 This study deals with the general decay of solutions of a new class of Moore–Gibson–Thompson equation with respect to the memory kernel of type II. By using the energy method in the Fourier space, we establish the main results.
S. Boulaaras +2 more
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Mathematical and Computational Applications, 2021 In the present paper, we consider an important problem from the application perspective in science and engineering, namely, one-dimensional porous–elastic systems with nonlinear damping, infinite memory and distributed delay terms.
Abdelkader Moumen +3 more
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Mathematical and Computational Applications, 2023 In this paper, we study the long-time behavior of a weakly dissipative viscoelastic equation with variable exponent nonlinearity of the form utt+Δ2u−∫0tg(t−s)Δu(s)ds+a|ut|n(·)−2ut−Δut=0, where n(.) is a continuous function satisfying some assumptions and
Adel M. Al-Mahdi +3 more
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