TY - BOOK AU - Agarwal,Ravi AU - Hristova,Snezhana AU - O'Regan,Donal ED - SpringerLink (Online service) TI - Non-Instantaneous Impulses in Differential Equations SN - 9783319663845 AV - QA370-380 U1 - 515.353 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Partial differential equations KW - Differential equations KW - Partial Differential Equations KW - Ordinary Differential Equations N1 - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-3-319-66384-5 ER -