Non-Instantaneous Impulses in Differential Equations
| Autor: | Ravi Agarwal, Snezhana Hristova, Donal O'Regan |
|---|---|
| EAN: | 9783319663845 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 27.10.2017 |
| Kategorie: | |
| Schlagworte: | Caputo fractional derivatives Lyapunov functions differential equations fractional derivatives fractional differential equations non-instantaneous impul non-instantaneous impulses ordinary differential equations partial differential equations |
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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 equa
tions 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.
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