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Non-Instantaneous Impulses in Differential Equations

Authors: Agarwal, Ravi P., Hristova, Snezhana, O'Regan, Donal

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  • Offers three thorough chapters devoted to theory, proofs, and examples
  • Investigates a wide class of differential equations with non-instantaneous impulses
  • Equips readers with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology, and pharmacokinetics
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eBook $89.00
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  • ISBN 978-3-319-66384-5
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Hardcover $119.99
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  • ISBN 978-3-319-66383-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Softcover $119.99
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  • ISBN 978-3-319-88231-4
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  • Immediate ebook access, if available*, with your print order
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About this book

This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including:
- Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)- Fractional differential equations with non-instantaneous impulses (with Caputo fractional derivatives of order q ϵ (0, 1))- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution)
Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader’s understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.

About the authors

Ravi P. Agarwal is a professor and the chair in the Department of Mathematics at Texas A&M University, Kingsville.

Snezhana Hristova is a professor in the Department of Applied Mathematics and Modeling at Plovdiv University in Plovdiv, Bulgaria.

Donal O'Regan is a professor in the School of Mathematics, Statistics and Applied Mathematics at the National University of Ireland in Galway, Ireland.

Reviews

“The presence of a huge amount of illustrative examples and graphs anywhere in the book is very helpful for understanding of the theory and proofs. Graduate students at various levels as well as researchers in differential equations and related fields will find this book a valuable resource of both introductory and advanced material.” (Hristo S. Kiskinov, zbMATH 1426.34001, 2020)

Table of contents (3 chapters)

Table of contents (3 chapters)
  • Non-instantaneous Impulses in Differential Equations

    Pages 1-72

    Agarwal, Ravi (et al.)

  • Non-instantaneous Impulses in Differential Equations with Caputo Fractional Derivatives

    Pages 73-192

    Agarwal, Ravi (et al.)

  • Non-instantaneous Impulses on Random Time in Differential Equations with Ordinary/Fractional Derivatives

    Pages 193-244

    Agarwal, Ravi (et al.)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-319-66384-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-66383-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-319-88231-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Non-Instantaneous Impulses in Differential Equations
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-66384-5
DOI
10.1007/978-3-319-66384-5
Hardcover ISBN
978-3-319-66383-8
Softcover ISBN
978-3-319-88231-4
Edition Number
1
Number of Pages
XI, 251
Number of Illustrations
49 b/w illustrations
Topics

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