Generalized Quasilinearization for Quasilinear Parabolic Equations with Nonlinearities of DC Type |
| |
Authors: | Karl S Lakshmikantham V |
| |
Institution: | (1) Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box. 80203, Jeddah, 21589, Saudi Arabia |
| |
Abstract: | In this paper, we consider an initial boundary-value problem for a class of quasilinear parabolic equations whose lower-order nonlinearity is of d.c. function type with respecxt to the dependent variable. Assuming the existence of an ordered pair of weak upper and lower solutions, we establish a generalized quasilinearization method for the problem under consideration. A characteristic feature of this generalized quasilinearization method consists in the construction of monotone sequences converging to the unique solution within the interval of upper and lower solutions, and whose convergence rate is quadratic. |
| |
Keywords: | generalized quasilinearization quasilinear parabolic initial boundary-value problems d c functions upper and lower solutions quadratic convergence |
本文献已被 SpringerLink 等数据库收录! |
|