Green?s Functions in the Theory of Ordinary Differential Equations
Series: SpringerBriefs in Mathematics;
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27 229 Ft
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Edition number 2014
- Publisher Springer
- Date of Publication 30 November 2013
- Number of Volumes 1 pieces, Book
- ISBN 9781461495055
- Binding Paperback
- No. of pages168 pages
- Size 235x155 mm
- Weight 3211 g
- Language English
- Illustrations 3 Illustrations, color 0
Categories
Long 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.
From the book reviews:
?A resource for researchers and graduate students studying boundary value problems for functional differential equations. ? the author produces a coherent, useful and quite elegant presentation of the construction of Green?s functions, accompanied by a specific set of applications related to primarily maximum and anti-maximum type principles, comparison theory and methods of upper and lower solutions. ? provides a readable and interesting account that will be useful to researchers who want to understand constructions of such operators.? (P. W. Eloe, Mathematical Reviews, July, 2014) MoreTable of 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.
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Green?s Functions in the Theory of Ordinary Differential Equations
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