Non-Instantaneous Impulses in Differential Equations
Springer International Publishing (Verlag)
978-3-319-66383-8 (ISBN)
- 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 | 14.11.2017 |
|---|---|
| Zusatzinfo | XI, 251 p. 49 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 561 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Caputo fractional derivatives • Differential calculus & equations • Differential calculus & equations • Differential Equations • fractional derivatives • fractional differential equations • impulse systems • Lyapunov functions • Mathematics • mathematics and statistics • non-instantaneous impulses • non-instantaneous impulses in differential equatio • non-instantaneous impulses in differential equations • Ordinary differential equations • Partial differential equations |
| ISBN-10 | 3-319-66383-6 / 3319663836 |
| ISBN-13 | 978-3-319-66383-8 / 9783319663838 |
| Zustand | Neuware |
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