Green’s Functions in the Theory of Ordinary Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Green’s Functions in the Theory of Ordinary Differential Equations by Alberto Cabada, Springer New York
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Author: Alberto Cabada ISBN: 9781461495062
Publisher: Springer New York Publication: November 29, 2013
Imprint: Springer Language: English
Author: Alberto Cabada
ISBN: 9781461495062
Publisher: Springer New York
Publication: November 29, 2013
Imprint: Springer
Language: English

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.

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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.

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