Non-Instantaneous Impulses in Differential Equations - Hardcover

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

Hardcover

ISBN 10: 3319663836 ISBN 13: 9783319663838

Publisher: Springer, 2017

Synopsis

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.

About this title

About the Author

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2017
• Language: English
• ISBN 10: 3319663836
• ISBN 13: 9783319663838
• Binding: Hardcover
• Edition number: 1
• Number of pages: 262