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Provides a comprehensive development of the theory of Green’s functions
Focuses on the qualitative properties of such functions
Contains a comprehensive bibliography of classic and recent works on the subject
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.
Content Level »Research
Keywords »Boundary Value Problems - Comparison Results - Green's Function - Lower and Upper Solutions - Monotone Iterative Techniques