Green’s Functions in the Theory of Ordinary Differential Equations
Publisher: Springer
Published: Nov 30, 2013
Format: paperback
Number of pages: 184
ISBN-13: 9781461495055
Description: 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.
Notes: Source title: Green’s Functions in the Theory of Ordinary Differential Equations (SpringerBriefs in Mathematics)