Ravi Agarwal & Snezhana Hristova 
Non-Instantaneous Impulses in Differential Equations [PDF ebook] 

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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 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 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.

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Inhaltsverzeichnis

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.

Über den Autor

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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Sprache Englisch ● Format PDF ● Seiten 251 ● ISBN 9783319663845 ● Dateigröße 4.6 MB ● Verlag Springer International Publishing ● Ort Cham ● Land CH ● Erscheinungsjahr 2017 ● herunterladbar 24 Monate ● Währung EUR ● ID 5499255 ● Kopierschutz Soziales DRM

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