Green's functions in the theory of ordinary differential equations /
General Material Designation
[Book]
First Statement of Responsibility
Alberto Cabada
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 168 pages :
Other Physical Details
illustrations ;
Dimensions
24 cm
SERIES
Series Title
Springerbriefs in Mathematics
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 163-165) and index
CONTENTS NOTE
Text of Note
1. Green's functions in the theory of ordinary differential equations -- Appendix A.A Green's function mathematica package -- Appendix B. Expressions of some particular Green's functions
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SUMMARY OR ABSTRACT
Text of Note
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