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Table of contents (17 chapters)
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Front Matter
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Back Matter
About this book
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material.
Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.
Reviews
From the reviews:
“We strongly recommend the monograph for applied mathematicians, researchers in different field of engineering and graduate students planning their further study in the field of functional differential equations. … The book is well organized, easy to read; senior undergraduate students will be able to follow the proofs and explanations. The monograph could be one of the basic handbooks consulted for studying and understanding functional differential equations and their oscillation theory.” (Haydar Akca, Zentralblatt MATH, Vol. 1253, 2013)
“The book under review complements the theory of delay equations by mainly focusing on nonoscillation, and its relation with stability, boundary value problems, and some other close subjects. It is completely self-contained. … This book is a useful and good reference for researchers in qualitative theory of ordinary differential equations … . It can also be useful as a textbook or to initiate research in the subject.” (Başak Karpuz, Mathematical Reviews, January, 2013)
Authors and Affiliations
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, Department of Mathematics, Texas A&M University - Kingsville, Kingsville, USA
Ravi P. Agarwal
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, Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel
Leonid Berezansky
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, Department of Mathematics, University of Calgary, Calgary, Canada
Elena Braverman
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, Department of Computer Sciences and Math, Ariel University Center of Samaria, Qyriat Ha-Mada, Israel
Alexander Domoshnitsky
Bibliographic Information
Book Title: Nonoscillation Theory of Functional Differential Equations with Applications
Authors: Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky
DOI: https://doi.org/10.1007/978-1-4614-3455-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-1-4614-3454-2Published: 18 April 2012
Softcover ISBN: 978-1-4899-9850-7Published: 08 May 2014
eBook ISBN: 978-1-4614-3455-9Published: 23 April 2012
Edition Number: 1
Number of Pages: XVI, 520
Topics: Partial Differential Equations, Special Functions, Functional Analysis