Non-Instantaneous Impulses in Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Non-Instantaneous Impulses in Differential Equations by Donal O'Regan, Snezhana Hristova, Ravi Agarwal, Springer International Publishing
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Author: Donal O'Regan, Snezhana Hristova, Ravi Agarwal ISBN: 9783319663845
Publisher: Springer International Publishing Publication: October 27, 2017
Imprint: Springer Language: English
Author: Donal O'Regan, Snezhana Hristova, Ravi Agarwal
ISBN: 9783319663845
Publisher: Springer International Publishing
Publication: October 27, 2017
Imprint: Springer
Language: English

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 equa

tions 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 equa

tions 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.

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