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Polat, N. and Piskin, E. (2012) Asymptotic Behavior of Solution of Cauchy Problem for the Generalized Damped Double Dispersion Equation. International Mathematical Forum, 3, 145-151.

has been cited by the following article:

• TITLE: Asymptotic Behavior of the Solution of the Initial Boundary Value Problem for a Boussı̇nesq Analog Equation

  AUTHORS: Sherif Amirov, Hale Koyuncu, Orhan Amirov

  KEYWORDS: Initial Boundary Value Problem, Boussinesq Equation, Asymptotic Behavior of the Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.4, April 3, 2025

  ABSTRACT: In this paper, the asymptotics of the solution of the initial boundary value problem for a sixth-order nonlinear partial differential equation of Boussinesq type is studied. First, the energy function is obtained. Then, apriori evaluations for this function are obtained. Then, by imposing some conditions on the function on the right-hand side of the equation and using appropriate inequalities, it is shown that the solution is asymptotically damped.