Non-Instantaneous Impulses in Differential Equations. 1st ed. 2017

種類:

電子ブック

責任表示:

by Ravi Agarwal, Snezhana Hristova, Donal O'Regan

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Agarwal, Ravi.
• Hristova, Snezhana.
• O'Regan, Donal.
• SpringerLink (Online service)

ISBN:

9783319663845 [3319663844]    

注記:

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.
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 bibliograph

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