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Journals / Sakarya University Journal of Science / 2018 / Volume: 22 Issue: 6

Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation

Zeynep Sümeyye Çelik0000-0002-1677-5842
Şevket Gür0000-0002-7180-5952
Pages
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Publication Date
2018-12-01
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⚡ TL;DR(Too Long; Didn't Read)

In this work, it is proved that the solutions of Benjamin-Bona-Mahony-Burger equation depends continuously on the coefficients.

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Objective & Hypothesis:In this work, it is proved that the solutions of Benjamin-Bona-Mahony-Burger equation depends continuously on the coefficients.
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Key Findings & Data:In this work, it is proved that the solutions of Benjamin-Bona-Mahony-Burger equation depends continuously on the coefficients.
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Conclusion & Impact:In this work, it is proved that the solutions of Benjamin-Bona-Mahony-Burger equation depends continuously on the coefficients.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:bbmb equation · continuous dependence

Abstract

In this work, it is proved that the solutions of Benjamin-Bona-Mahony-Burger equation depends continuously on the coefficients.

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Cite This Article

Çelik, Z. S., Gür, Ş. (2018). Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation. Sakarya University Journal of Science, Volume: 22 Issue: 6. https://doi.org/10.16984/saufenbilder.373062

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References (13)

  1. Quarteroni, A.: Fourier spectral methods for pseudo-parabolic equations. SIAM J. Numer. Anal. 24(2), 323-335 (1987)
  2. Karch, G.: Asymptotic behaviour of solutions to some pseudoparabolic equations. Math. Methods Appl. Sci. 20,271-289 (1997)
  3. Kaikina, E.I., Naumkin, P.I., Shishmarev, I.A.: The Cauchy problem for an equation of Sobolev type with power non-linearity. Izv. Math. 69(1), 59-111 (2005)
  4. Korpusov, M.O., Sveshnikov, A.G.: Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type. J. Math. Sci. 148(1), 1-142 (2008)
  5. Dubey, S.A.: Numerical solution for nonlocal Sobolev-type differential equations. Electron. J. Differ. Equ. Conf. 19, 75-83(2010)
  6. Franchi, F., Straughan, B.: Continuous dependence and decay for the Forchheimer equations. Proc. R. Soc. Lond. Ser. A 459, 3195-3202 (2003)
  7. Lin, C., Payne, L.E.: Continuous dependence of heatux on spatial geometry for the generalized Maxwell-Cattaneo system. Z. Angew. Math. Phys. 55, 575-591 (2004)
  8. Celebi, A.O., Kalantarov, V.K., Ugurlu, D.: Continuous dependence for the convective Brinkman-Forchheimer equations Appl. Anal. 84 (9), 877-888 (2005)
  9. Celebi, A.O., Kalantarov, V.K, Ugurlu, D.: On continuous dependence on coefficients of the Brinkman-Forchheimer equations. Appl. Math. Lett., 19, 801-807 (2006)
  10. Yaman, M., Gür, Ş.: Continuous dependence for the pseudoparabolic equation. BoundaryValue Problem, Art. ID 872572 (2010)
  11. Straughan, B.: Continuous dependence on the heat source in resonant porous penetrative convection. Stud. Appl. Math. 127, 302-314 (2011)
  12. Yaman, M., Gür, Ş.: Continuous dependence for the damped nonlinear hyperbolic equation. Math. Comput. Appl. 16 (2), 437-442 (2011)
  13. Li, Y., Lin, C.: Continuous dependence for the nonhomogeneous Brinkman-Forchheimer equations in a semi-infnite pipe. Appl. Mathematics and Computation 244, 201-208 (2014)