03425nam 22004935 450 991025428980332120200705111545.03-319-66384-410.1007/978-3-319-66384-5(CKB)4100000000881639(DE-He213)978-3-319-66384-5(MiAaPQ)EBC5115323(PPN)220128383(EXLCZ)99410000000088163920171027d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierNon-Instantaneous Impulses in Differential Equations /by Ravi Agarwal, Snezhana Hristova, Donal O'Regan1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XI, 251 p. 49 illus.) 3-319-66383-6 Includes bibliographical references.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.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 equationsDifferential equationsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial differential equations.Differential equations.Partial Differential Equations.Ordinary Differential Equations.515.353Agarwal Raviauthttp://id.loc.gov/vocabulary/relators/aut953465Hristova Snezhanaauthttp://id.loc.gov/vocabulary/relators/autO'Regan Donalauthttp://id.loc.gov/vocabulary/relators/autBOOK9910254289803321Non-Instantaneous Impulses in Differential Equations2155927UNINA