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商品詳細
Non-Instantaneous Impulses in Differential Equations. Softcover reprint of the original 1st ed. 2017.
・ISBN 978-3-319-88231-4 paper EUR 99.99
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| 著者・編者 | Agarwal, Ravi / Hristova, Snezhana / O'Regan, Donal, |
|---|---|
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 251 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-11397＞ |
解説
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 ? (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.
- 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 ? (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.