An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition
B. Ahmad, King Abdulaziz University, Jeddah, Saudi Arabia E. J. Qualitative Theory of Diff. Equ., No. 1. (2007), pp. 1-19.
A. Alsaedi, King Abdulaziz University, Jeddah, Saudi Arabia
| Communicated by P. Eloe. | Received on 2006-09-19 Appeared on 2007-01-26 |
Abstract: In this paper, we discuss an extended form of generalized quasilinearization technique for first order nonlinear impulsive differential equations with a nonlinear three-point boundary condition. In fact, we obtain monotone sequences of upper and lower solutions converging uniformly and quadratically to the unique solution of the problem.
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