Non-instantaneous impulses in differential equations /
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| Author / Creator: | Agarwal, Ravi P., author. |
|---|---|
| Imprint: | Cham, Switzerland : Springer, [2017] ©2017 |
| Description: | 1 online resource |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11384636 |
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| 100 | 1 | |a Agarwal, Ravi P., |e author. | |
| 245 | 1 | 0 | |a Non-instantaneous impulses in differential equations / |c Ravi Agarwal, Snezhana Hristova, Donal O'Regan. |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource | ||
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| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed November 3, 2017). | |
| 504 | |a Includes bibliographical references. | ||
| 520 | |6 880-01 |a "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."-- |c Provided by publisher. | ||
| 505 | 0 | |a Preface -- Introduction -- 1. Non-instantaneous Impulses in Differential Equations -- 2. Non-instantaneous Impulses in Differential Equations with Caputo fractional derivatives -- 3. Non-instantaneous Impulses on Random time in Differential Equations with Ordinary/Fractional Derivatives -- Bibliography. | |
| 650 | 0 | |a Impulsive differential equations. |0 http://id.loc.gov/authorities/subjects/sh2009001057 | |
| 650 | 1 | 4 | |a Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85082139 |
| 650 | 2 | 4 | |a Partial Differential Equations. |
| 650 | 2 | 4 | |a Ordinary Differential Equations. |
| 650 | 7 | |a Differential calculus & equations. |2 bicssc | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Impulsive differential equations. |2 fast |0 (OCoLC)fst01747497 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Hristova, Snezhana G., |e author. | |
| 700 | 1 | |a O'Regan, Donal, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Agarwal, Ravi P. |t Non-instantaneous impulses in differential equations. |d Cham, Switzerland : Springer, [2017] |z 9783319663838 |z 3319663836 |w (OCoLC)994640014 |
| 880 | |6 520-01/Grek |a 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.-- |c Provided by publisher. | ||
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