Green’s Functions in the Theory of Ordinary Differential Equations

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This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.

Author(s): Alberto Cabada (auth.)
Series: SpringerBriefs in mathematics
Edition: 2
Publisher: Springer-Verlag New York
Year: 2014

Language: English
Pages: 168
City: New York
Tags: Ordinary Differential Equations; Several Complex Variables and Analytic Spaces; Operator Theory

Front Matter....Pages i-xiv
Green’s Functions in the Theory of Ordinary Differential Equations....Pages 1-139
Back Matter....Pages 141-168