Non-Instantaneous Impulses in Differential Equations

di Ravi Agarwal (Autore)

Snezhana Hristova (Autore)

Donal O'Regan (Autore)

Springer International Publishing AG, 2017

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.

• Autore: Ravi Agarwal, Snezhana Hristova, Donal O'Regan
• Editore: Springer International Publishing AG
• Anno: 2017
• Rilegatura: Hardback
• Pagine: 251 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783319663838

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