Non-Instantaneous Impulses in Differential Equations - Ravi Agarwal, Snezhana Hristova, Donal O'Regan

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Non-Instantaneous Impulses in Differential Equations (eBook)

Ravi Agarwal, Snezhana Hristova, Donal O'Regan (Autoren)

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2017 | 1st ed. 2017
XI, 251 Seiten
Springer International Publishing (Verlag)
978-3-319-66384-5 (ISBN)

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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.

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.

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.

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.

Erscheint lt. Verlag	27.10.2017
Zusatzinfo	XI, 251 p. 49 illus.
Verlagsort	Cham
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Caputo fractional derivatives • Differential Equations • fractional derivatives • fractional differential equations • impulse systems • Lyapunov functions • non-instantaneous impulses • non-instantaneous impulses in differential equations • Ordinary differential equations • Partial differential equations
ISBN-10	3-319-66384-4 / 3319663844
ISBN-13	978-3-319-66384-5 / 9783319663845

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