TY - JOUR T1 - Continuous Dependence For Benjamin-Bona-Mahony-Burger Equation AU - Çelik, Zeynep Sümeyye AU - Gür, Şevket PY - 2018 DA - December Y2 - 2018 DO - 10.16984/saufenbilder.373062 JF - Sakarya University Journal of Science JO - SAUJS PB - Sakarya University WT - DergiPark SN - 2147-835X SP - 1648 EP - 1650 VL - 22 IS - 6 LA - en AB - In this work, it is proved that the solutions ofBenjamin-Bona-Mahony-Burger equation depends continuously on the coefficients. KW - bbmb equation KW - continuous dependence CR - Quarteroni, A.: Fourier spectral methods for pseudo-parabolic equations. SIAM J. Numer. Anal. 24(2), 323-335 (1987) CR - Karch, G.: Asymptotic behaviour of solutions to some pseudoparabolic equations. Math. Methods Appl. Sci. 20,271-289 (1997) CR - 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) CR - 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) CR - Dubey, S.A.: Numerical solution for nonlocal Sobolev-type differential equations. Electron. J. Differ. Equ. Conf. 19, 75-83(2010) CR - Franchi, F., Straughan, B.: Continuous dependence and decay for the Forchheimer equations. Proc. R. Soc. Lond. Ser. A 459, 3195-3202 (2003) CR - 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) CR - Celebi, A.O., Kalantarov, V.K., Ugurlu, D.: Continuous dependence for the convective Brinkman-Forchheimer equations Appl. Anal. 84 (9), 877-888 (2005) CR - 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) CR - Yaman, M., Gür, Ş.: Continuous dependence for the pseudoparabolic equation. BoundaryValue Problem, Art. ID 872572 (2010) CR - Straughan, B.: Continuous dependence on the heat source in resonant porous penetrative convection. Stud. Appl. Math. 127, 302-314 (2011) CR - Yaman, M., Gür, Ş.: Continuous dependence for the damped nonlinear hyperbolic equation. Math. Comput. Appl. 16 (2), 437-442 (2011) CR - 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) UR - https://doi.org/10.16984/saufenbilder.373062 L1 - https://dergipark.org.tr/en/download/article-file/455502 ER -