scholarly journals Asymptotic behavior for an almost periodic, strongly dissipative wave equation

1980 ◽  
Vol 38 (3) ◽  
pp. 422-440 ◽  
Author(s):  
Marco Biroli ◽  
Alain Haraux
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Almost Periodic ◽  
Dissipative Wave Equation

Homogenization and correctors for the wave equation with periodic coefficients

2014 ◽  
Vol 24 (07) ◽  
pp. 1343-1388 ◽  
Author(s):  
Juan Casado-Díaz ◽  
Julio Couce-Calvo ◽  
Faustino Maestre ◽  
José D. Martín Gómez
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Space Variable ◽  
Limit Problem ◽  
Almost Periodic ◽  
Wave Problem ◽  
Periodic Coefficients ◽  
Convergence Method

Using the two-scale convergence method, we study the asymptotic behavior of a wave problem in ℝN with periodic coefficients in the space variable and almost-periodic coefficients in the time one. We obtain a nonlocal corrector and show how this implies that the limit problem is nonlocal in general.

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History

scholarly journals Pseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Zhinan Xia
Keyword(s):  
Asymptotic Behavior ◽  
Mild Solution ◽  
Existence And Uniqueness ◽  
Measure Theory ◽  
Integrodifferential Equations ◽  
Almost Periodic ◽  
Pseudo Almost Periodic

By the weighted ergodic function based on the measure theory, we study pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain. The existence and uniqueness ofμ-pseudo antiperiodic (μ-pseudo periodic,μ-pseudo almost periodic, andμ-pseudo automorphic) solution are investigated. Some interesting examples are presented to illustrate the main findings.

scholarly journals Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings

2019 ◽  
Vol 3 (2) ◽  
pp. 26 ◽  
Author(s):  
Dumitru Baleanu ◽  
Hassan Kamil Jassim
Keyword(s):  
Wave Equation ◽  
Decomposition Method ◽  
Nonlinear Problems ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Damped Wave Equation ◽  
Fractal Strings ◽  
Fractional Derivative Operators ◽  
Laplace Decomposition Method ◽  
Dissipative Wave Equation

In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation within local fractional derivative operators (LFDOs). The efficiency of the considered methods are illustrated by some examples. The results obtained by LFLVIM and LFLDM are compared with the results obtained by LFVIM. The results reveal that the suggested algorithms are very effective and simple, and can be applied for linear and nonlinear problems in sciences and engineering.

Sign in / Sign up

Export Citation Format

Share Document