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Non-Instantaneous Impulses in Differential Equations

Non-Instantaneous Impulses in Differential Equations
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Field name Details
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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