An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions

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An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions

The first steps in the theory of lower and upper solutions have been given by Picard in 1890 1 for Partial Differential Equations and, three years after, in 2 for Ordinary Differential Equations. In both cases, the existence of a solution is guaranteed from a monotone iterative technique. Existence of solutions for Cauchy equations have been proved by Perron in 1915 3 . In 1927, Müller extended...

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ژورنال

عنوان ژورنال: Boundary Value Problems

سال: 2011

ISSN: 1687-2762,1687-2770

DOI: 10.1155/2011/893753