Dewey Class |
515.353 |
Title |
Non-Instantaneous Impulses in Differential Equations ([EBook]) / by Ravi Agarwal, Snezhana Hristova, Donal O'Regan. |
Author |
Agarwal, Ravi P. |
Added Personal Name |
Hristova, Snezhana author. |
O'Regan, Donal author. |
Other name(s) |
SpringerLink (Online service) |
Publication |
Cham : Springer International Publishing , 2017. |
Physical Details |
XI, 251 p. 49 illus. : online resource. |
ISBN |
9783319663845 |
Summary Note |
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 ? (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.: |
Contents note |
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. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org/10.1007/978-3-319-66384-5 |
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