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Nonoscillation Theory of Functional Differential Equations with Applications

Authors: Agarwal, R.P., Berezansky, L., Braverman, E., Domoshnitsky, A.

  • Effectively examines the subject from many different angles
  • Uses detailed examples to drive the presentation  
  • A useful text for researchers, professionals and practitioners ​
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eBook $129.00
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  • ISBN 978-1-4614-3455-9
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Hardcover $169.99
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  • ISBN 978-1-4614-3454-2
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  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
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  • ISBN 978-1-4899-9850-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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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)


Table of contents (17 chapters)

  • Introduction to Oscillation Theory

    Agarwal, Ravi P. (et al.)

    Pages 1-21

  • Scalar Delay Differential Equations on Semiaxes

    Agarwal, Ravi P. (et al.)

    Pages 23-58

  • Scalar Delay Differential Equations on Semiaxis with Positive and Negative Coefficients

    Agarwal, Ravi P. (et al.)

    Pages 59-81

  • Oscillation of Equations with Distributed Delays

    Agarwal, Ravi P. (et al.)

    Pages 83-121

  • Scalar Advanced and Mixed Differential Equations on Semiaxes

    Agarwal, Ravi P. (et al.)

    Pages 123-147

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-1-4614-3455-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-1-4614-3454-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-1-4899-9850-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonoscillation Theory of Functional Differential Equations with Applications
Authors
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-3455-9
DOI
10.1007/978-1-4614-3455-9
Hardcover ISBN
978-1-4614-3454-2
Softcover ISBN
978-1-4899-9850-7
Edition Number
1
Number of Pages
XVI, 520
Topics