Non-Instantaneous Impulses in Differential Equations
Autor: | Agarwal, Ravi Hristova, Snezhana O'Regan, Donal |
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EAN: | 9783319663838 |
Auflage: | 001 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 264 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 06.11.2017 |
Schlagworte: | Differenzialgleichung / Gewöhnliche Differenzialgleichung / Partielle Differenzialrechnung Gewöhnliche Differenzialgleichung Gleichung PartialDifferentialEquations; ordinarydifferentialequations; non-instantaneousimpulses; fractionalderivatives; fractionaldifferentialequations; Lyapunovfunctions; differentialequations; Caputofractionalderivatives; non-instantaneousimpulsesindifferentialequations; impulsesystems Partielle Differenzialgleichung |
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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.