Continuous dependence of solutions for damped improved Boussinesq equation | Zendy

Sema BAYRAKTAR | Zendy; Şevket Gür | Zendy

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Continuous dependence of solutions for damped improved Boussinesq equation

Author(s) -

Sema BAYRAKTAR,

Şevket Gür

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1912-20

Subject(s) - mathematics , dissipative system , a priori and a posteriori , mathematical analysis , nonlinear system , boundary value problem , multiplier (economics) , a priori estimate , physics , thermodynamics , philosophy , macroeconomics , epistemology , quantum mechanics , economics

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 (δ) and (r) and dissipative (b) coefficients are established by multiplier method.

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