Green's functions in the theory of ordinary differential equations / Alberto Cabada.

Author/creator Cabada, Alberto
Format Electronic
Publication InfoNew York : Springer, [2014]
Descriptionxiv, 168 pages : illustrations ; 24 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International
Supplemental ContentFull text available from Springer Books
Subjects

SeriesSpringerbriefs in Mathematics
SpringerBriefs in mathematics. ^A1256596
Contents 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.
Summary 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.-- Source other than Library of Congress.
Bibliography noteIncludes bibliographical references (pages 163-165) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2013953341
ISBN9781461495055 (pbk.)
ISBN1461495059 (pbk.)