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
price for USA in USD (gross)
  • 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
  • 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
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (3 chapters)

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

    Agarwal, Ravi (et al.)

    Pages 1-72

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

    Agarwal, Ravi (et al.)

    Pages 73-192

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

    Agarwal, Ravi (et al.)

    Pages 193-244

Buy this book

eBook $89.00
price for USA in USD (gross)
  • 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
  • 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
  • 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