Constructive existence and uniqueness for some nonlinear two-point boundary value problems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Constructive existence and uniqueness for some nonlinear two-point boundary value problems

Authors:	James A. Pennline

Affiliation:	Mathematical Analysis Section, Computer Services Division, NASA Lewis Research Center, Cleveland, Ohio 44135 USA

Abstract:	Constructive existence and uniqueness theorems are presented for the problem $y″ = ?(x, y), y(0) = y_{0}, y(1) = y_{1}$ . Applications to several problems are also given including one in which the boundary values are y′(0) = y′₀, y(1) = y₁.

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