The Method of Upper and Lower Solutions for Second-order Non-homogeneous Two-point Boundary-value Problem
نویسندگان
چکیده
This paper studies the existence and uniqueness of solutions for a type of second-order two-point boundary-value problem depending on the firstorder derivative through a non-linear term. By constructing a special cone and using the upper and lower solutions method, we obtain the sufficient conditions of the existence and uniqueness of solutions, and a monotone iterative sequence solving the boundary-value problem. An error estimate formula is also given under the condition of a unique solution.
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تاریخ انتشار 2007