Non-Instantaneous Impulses in Differential Equations

✍ Scribed by Ravi Agarwal, Snezhana Hristova, Donal O’Regan

• Publisher: Springer International Publishing
• Year: 2017
• Tongue: English
• Leaves: 262
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xi
Non-instantaneous Impulses in Differential Equations (Ravi Agarwal, Snezhana Hristova, Donal O’Regan)....Pages 1-72
Non-instantaneous Impulses in Differential Equations with Caputo Fractional Derivatives (Ravi Agarwal, Snezhana Hristova, Donal O’Regan)....Pages 73-192
Non-instantaneous Impulses on Random Time in Differential Equations with Ordinary/Fractional Derivatives (Ravi Agarwal, Snezhana Hristova, Donal O’Regan)....Pages 193-244
Back Matter ....Pages 245-251

✦ Subjects

Partial Differential Equations