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Agarwal, Ravi; Hristova, Snezhana; O'Regan, Donal

Non-Instantaneous Impulses in Differential Equations (Gebundene Ausgabe)

Springer-Verlag GmbH, Springer International Publishing, Dezember 2017


251 S. - Sprache: Englisch - 49 farbige Abbildungen, 49 farbige Tabellen, Bibliographie - 244x159x22 mm Book

ISBN: 3319663836 EAN: 9783319663838

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.


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Produktdetails

Offers three thorough chapters devoted to theory, proofs, and examples Investigates a wide class of differential equations with non-instantaneous impulses Equips readers with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology, and pharmacokinetics

Inhaltsverzeichnis

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.

Über den Autor

Ravi P. Agarwal is a professor and the chair in the Department of Mathematics at Texas A&M University, Kingsville. Snezhana Hristova is a professor in the Department of Applied Mathematics and Modeling at Plovdiv University in Plovdiv, Bulgaria. Donal O'Regan is a professor in the School of Mathematics, Statistics and Applied Mathematics at the National University of Ireland in Galway, Ireland.


ISBN 3-319-66383-6

ISBN 978-3-319-66383-8

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