Overview
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
Includes supplementary material: sn.pub/extras
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Table of contents (3 chapters)
Keywords
About this book
- 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.
Reviews
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Non-Instantaneous Impulses in Differential Equations
Authors: Ravi Agarwal, Snezhana Hristova, Donal O'Regan
DOI: https://doi.org/10.1007/978-3-319-66384-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-66383-8Published: 06 November 2017
Softcover ISBN: 978-3-319-88231-4Published: 24 May 2018
eBook ISBN: 978-3-319-66384-5Published: 27 October 2017
Edition Number: 1
Number of Pages: XI, 251
Number of Illustrations: 49 b/w illustrations
Topics: Partial Differential Equations, Ordinary Differential Equations