Non-Instantaneous Impulses in Differential Equations
(Sprache: Englisch)
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,...
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Klappentext zu „Non-Instantaneous Impulses in Differential Equations “
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.
Inhaltsverzeichnis zu „Non-Instantaneous Impulses in Differential Equations “
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.Autoren-Porträt von Ravi Agarwal, Snezhana Hristova
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.
Bibliographische Angaben
- Autoren: Ravi Agarwal , Snezhana Hristova
- 2017, 1st ed. 2017, XI, 251 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319663836
- ISBN-13: 9783319663838
- Erscheinungsdatum: 06.11.2017
Sprache:
Englisch
Pressezitat
"The presence of a huge amount of illustrative examples and graphs anywhere in the book is very helpful for understanding of the theory and proofs. Graduate students at various levels as well as researchers in differential equations and related fields will find this book a valuable resource of both introductory and advanced material." (Hristo S. Kiskinov, zbMATH 1426.34001, 2020)
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