Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions
Li Sun, China University of Mining and Technology, Xuzhou, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 66. (2010), pp. 1-14.
Mingru Zhou, Xuzhou Normal University, Xuzhou, P. R. China
Guangwa Wang, Xuzhou Normal University, Xuzhou, P. R. China
| Communicated by P. Eloe. | Received on 2010-03-09 Appeared on 2010-11-02 |
Abstract: The quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding monotone sequences converge uniformly and quadratically to the unique solution of the problem. An example is also included to illustrate the main result.
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