Non-Instantaneous Impulses in Differential Equations

  • Ravi Agarwal
  • Snezhana Hristova
  • Donal O'Regan

Table of contents

  1. Front Matter
    Pages i-xi
  2. Ravi Agarwal, Snezhana Hristova, Donal O’Regan
    Pages 1-72
  3. Ravi Agarwal, Snezhana Hristova, Donal O’Regan
    Pages 73-192
  4. Back Matter
    Pages 245-251

About this book


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.


partial differential equations ordinary differential equations non-instantaneous impulses fractional derivatives fractional differential equations Lyapunov functions differential equations Caputo fractional derivatives non-instantaneous impulses in differential equations impulse systems

Authors and affiliations

  • Ravi Agarwal
    • 1
  • Snezhana Hristova
    • 2
  • Donal O'Regan
    • 3
  1. 1.Department of MathematicsTexas A&M University—KingsvilleKingsvilleUSA
  2. 2.Department of Applied MathematicsPlovdiv UniversityPlovdivBulgaria
  3. 3.School of Mathematics, Statistics and Applied MathematicsNational University of IrelandGalwayIreland

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-66383-8
  • Online ISBN 978-3-319-66384-5
  • About this book