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Green's Functions in the Theory of Ordinary Differential Equations

Alberto Cabada
Organization: University of Santiago de Compostela
Department: Mathematical Analysis
URL: http://webspersoais.usc.es/persoais/alberto.cabada/en/index.html
Book information

Publisher: Springer (New York, NY)
Copyright year: 2014
ISBN: 9781461495055
Medium: Paperback
Pages: 165
Out of print?: N
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This book provides a complete and exhaustive study of the Greenís 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.

*Mathematics > Calculus and Analysis > Differential Equations