Ravi Agarwal, Snezhana Hristova, Donal O'Regan

Non-Instantaneous Impulses in Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer International Publishing
• Erscheinungstermin: 27. Oktober 2017
• Englisch
• ISBN-13: 9783319663845
• Artikelnr.: 53061022

Autorenporträt

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.

Inhaltsangabe

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.

---

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.

Rezensionen

"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)