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Turkish Journal of Mathematics

Abstract

In this paper, the initial-boundary value problem for a damped nonlinear improved Boussinesq equation is studied. A priori estimates for the solution of the equation are obtained in terms of initial data and coefficients of the problem. The continuous dependence of solutions on dispersive $(\delta)$ and $(r)$ and dissipative $(b)$ coefficients are established by multiplier method.

DOI

10.3906/mat-1912-20

Keywords

Nonlinear damped improved Boussinesq equation, continuous dependence, structural stability

First Page

334

Last Page

341

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