Non-Instantaneous Impulses in Differential Equations

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

Buch | Softcover

XI, 251 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-88231-4 (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 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.

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.

"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)

“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)

Erscheinungsdatum	21.09.2018
Zusatzinfo	XI, 251 p. 49 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	4044 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Caputo fractional derivatives • Differential Equations • fractional derivatives • fractional differential equations • impulse systems • Lyapunov functions • non-instantaneous impulses • non-instantaneous impulses in differential equatio • non-instantaneous impulses in differential equations • Ordinary differential equations • Partial differential equations
ISBN-10	3-319-88231-7 / 3319882317
ISBN-13	978-3-319-88231-4 / 9783319882314
Zustand	Neuware