Araştırma Makalesi
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Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation

Yıl 2018, , 1648 - 1650, 01.12.2018
https://doi.org/10.16984/saufenbilder.373062

Öz

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

Kaynakça

  • Quarteroni, A.: Fourier spectral methods for pseudo-parabolic equations. SIAM J. Numer. Anal. 24(2), 323-335 (1987)
  • Karch, G.: Asymptotic behaviour of solutions to some pseudoparabolic equations. Math. Methods Appl. Sci. 20,271-289 (1997)
  • 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)
  • 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)
  • Dubey, S.A.: Numerical solution for nonlocal Sobolev-type differential equations. Electron. J. Differ. Equ. Conf. 19, 75-83(2010)
  • Franchi, F., Straughan, B.: Continuous dependence and decay for the Forchheimer equations. Proc. R. Soc. Lond. Ser. A 459, 3195-3202 (2003)
  • 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)
  • Celebi, A.O., Kalantarov, V.K., Ugurlu, D.: Continuous dependence for the convective Brinkman-Forchheimer equations Appl. Anal. 84 (9), 877-888 (2005)
  • 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)
  • Yaman, M., Gür, Ş.: Continuous dependence for the pseudoparabolic equation. BoundaryValue Problem, Art. ID 872572 (2010)
  • Straughan, B.: Continuous dependence on the heat source in resonant porous penetrative convection. Stud. Appl. Math. 127, 302-314 (2011)
  • Yaman, M., Gür, Ş.: Continuous dependence for the damped nonlinear hyperbolic equation. Math. Comput. Appl. 16 (2), 437-442 (2011)
  • 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)
Yıl 2018, , 1648 - 1650, 01.12.2018
https://doi.org/10.16984/saufenbilder.373062

Öz

Kaynakça

  • Quarteroni, A.: Fourier spectral methods for pseudo-parabolic equations. SIAM J. Numer. Anal. 24(2), 323-335 (1987)
  • Karch, G.: Asymptotic behaviour of solutions to some pseudoparabolic equations. Math. Methods Appl. Sci. 20,271-289 (1997)
  • 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)
  • 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)
  • Dubey, S.A.: Numerical solution for nonlocal Sobolev-type differential equations. Electron. J. Differ. Equ. Conf. 19, 75-83(2010)
  • Franchi, F., Straughan, B.: Continuous dependence and decay for the Forchheimer equations. Proc. R. Soc. Lond. Ser. A 459, 3195-3202 (2003)
  • 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)
  • Celebi, A.O., Kalantarov, V.K., Ugurlu, D.: Continuous dependence for the convective Brinkman-Forchheimer equations Appl. Anal. 84 (9), 877-888 (2005)
  • 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)
  • Yaman, M., Gür, Ş.: Continuous dependence for the pseudoparabolic equation. BoundaryValue Problem, Art. ID 872572 (2010)
  • Straughan, B.: Continuous dependence on the heat source in resonant porous penetrative convection. Stud. Appl. Math. 127, 302-314 (2011)
  • Yaman, M., Gür, Ş.: Continuous dependence for the damped nonlinear hyperbolic equation. Math. Comput. Appl. 16 (2), 437-442 (2011)
  • 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)
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Zeynep Sümeyye Çelik 0000-0002-1677-5842

Şevket Gür 0000-0002-7180-5952

Yayımlanma Tarihi 1 Aralık 2018
Gönderilme Tarihi 30 Aralık 2017
Kabul Tarihi 29 Mart 2018
Yayımlandığı Sayı Yıl 2018

Kaynak Göster

APA Çelik, Z. S., & Gür, Ş. (2018). Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation. Sakarya University Journal of Science, 22(6), 1648-1650. https://doi.org/10.16984/saufenbilder.373062
AMA Çelik ZS, Gür Ş. Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation. SAUJS. Aralık 2018;22(6):1648-1650. doi:10.16984/saufenbilder.373062
Chicago Çelik, Zeynep Sümeyye, ve Şevket Gür. “Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation”. Sakarya University Journal of Science 22, sy. 6 (Aralık 2018): 1648-50. https://doi.org/10.16984/saufenbilder.373062.
EndNote Çelik ZS, Gür Ş (01 Aralık 2018) Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation. Sakarya University Journal of Science 22 6 1648–1650.
IEEE Z. S. Çelik ve Ş. Gür, “Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation”, SAUJS, c. 22, sy. 6, ss. 1648–1650, 2018, doi: 10.16984/saufenbilder.373062.
ISNAD Çelik, Zeynep Sümeyye - Gür, Şevket. “Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation”. Sakarya University Journal of Science 22/6 (Aralık 2018), 1648-1650. https://doi.org/10.16984/saufenbilder.373062.
JAMA Çelik ZS, Gür Ş. Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation. SAUJS. 2018;22:1648–1650.
MLA Çelik, Zeynep Sümeyye ve Şevket Gür. “Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation”. Sakarya University Journal of Science, c. 22, sy. 6, 2018, ss. 1648-50, doi:10.16984/saufenbilder.373062.
Vancouver Çelik ZS, Gür Ş. Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation. SAUJS. 2018;22(6):1648-50.

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