Agarwal R., Hristova S., O'Regan D. Non-Instantaneous Impulses in Differential Equations

Springer International Publishing AG, 2017. — 262 p. — ISBN: 3319663836.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 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.Non-instantaneous Impulses in Differential Equations
Non-instantaneous Impulses in Differential Equations with Caputo Fractional Derivatives
Non-instantaneous Impulses on Random Time in Differential Equations with Ordinary/Fractional Derivatives