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
Recommended Citation
BAYRAKTAR, S, & GÜR, Ş (2020). Continuous dependence of solutions for damped improved Boussinesq equation. Turkish Journal of Mathematics 44 (1): 334-341. https://doi.org/10.3906/mat-1912-20