Research Article

Continuous dependence of solutions to double dispersive equation with dissipative term

Volume: 50 Number: 3 June 7, 2021
EN

Continuous dependence of solutions to double dispersive equation with dissipative term

Abstract

This work is focused on the properties of solutions to the initial-boundary value problem of the double dispersive-dissipative equation. It is established that the solution depends continuously on the dispersive and dissipative coefficients.

Keywords

References

  1. [1] K.A. Ames and B. Straughan, Non-Standard and improperly posed problems, Mathematics in Science and Engineering Series, Academic Press, New York, 194, 1997.
  2. [2] N. Bellomo and L. Preziosi, Modelling mathematical methods and scientific computation, CRC, Boca Raton, 1995.
  3. [3] G. Chen, Y. Wang and S. Wang, Initial boundary value problem of the generalized cubic double dispersion equation, J. Math. Anal. Appl. 299 (2), 563-577, 2004.
  4. [4] A.O. Çelebi, Ş. Gür and V.K. Kalantarov, Structural stability and decay estimate for marine riser equations, Math. Comput. Model. 54 (11-12), 3182-3188, 2011.
  5. [5] A.O. Çelebi and V.K. Kalantarov, Decay of solutions and structural stability for the coupled Kuramoto-Sivashinsky-Ginzburg-Landau equations, Appl. Anal. 94 (11), 2342- 2354, 2015.
  6. [6] H.F. Di and Y.D. Shang, Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms, Bound. Value Probl. 2015, Article No: 29, 2015.
  7. [7] H.F. Di and Y.D. Shang, Cauchy Problem for a higher order generalized Boussinesqtype equation with hydrodynamical damped term, Appl. Anal. 95 (3), 690-714, 2016.
  8. [8] H.F. Di and Y.D. Shang, Blow-Up Phenomena for a class of Generalized Double Dispersive Equations, Acta Math. Acad. Sci. 39 (2), 567-579, 2019.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 7, 2021

Submission Date

July 10, 2019

Acceptance Date

October 17, 2020

Published in Issue

Year 2021 Volume: 50 Number: 3

APA
Uysal, M. E., & Gür, Ş. (2021). Continuous dependence of solutions to double dispersive equation with dissipative term. Hacettepe Journal of Mathematics and Statistics, 50(3), 692-698. https://doi.org/10.15672/hujms.590313
AMA
1.Uysal ME, Gür Ş. Continuous dependence of solutions to double dispersive equation with dissipative term. Hacettepe Journal of Mathematics and Statistics. 2021;50(3):692-698. doi:10.15672/hujms.590313
Chicago
Uysal, Mesude Elif, and Şevket Gür. 2021. “Continuous Dependence of Solutions to Double Dispersive Equation With Dissipative Term”. Hacettepe Journal of Mathematics and Statistics 50 (3): 692-98. https://doi.org/10.15672/hujms.590313.
EndNote
Uysal ME, Gür Ş (June 1, 2021) Continuous dependence of solutions to double dispersive equation with dissipative term. Hacettepe Journal of Mathematics and Statistics 50 3 692–698.
IEEE
[1]M. E. Uysal and Ş. Gür, “Continuous dependence of solutions to double dispersive equation with dissipative term”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, pp. 692–698, June 2021, doi: 10.15672/hujms.590313.
ISNAD
Uysal, Mesude Elif - Gür, Şevket. “Continuous Dependence of Solutions to Double Dispersive Equation With Dissipative Term”. Hacettepe Journal of Mathematics and Statistics 50/3 (June 1, 2021): 692-698. https://doi.org/10.15672/hujms.590313.
JAMA
1.Uysal ME, Gür Ş. Continuous dependence of solutions to double dispersive equation with dissipative term. Hacettepe Journal of Mathematics and Statistics. 2021;50:692–698.
MLA
Uysal, Mesude Elif, and Şevket Gür. “Continuous Dependence of Solutions to Double Dispersive Equation With Dissipative Term”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, June 2021, pp. 692-8, doi:10.15672/hujms.590313.
Vancouver
1.Mesude Elif Uysal, Şevket Gür. Continuous dependence of solutions to double dispersive equation with dissipative term. Hacettepe Journal of Mathematics and Statistics. 2021 Jun. 1;50(3):692-8. doi:10.15672/hujms.590313

Cited By