LEADER 03065nam 22004455 450 001 9910254289803321 005 20251113155854.0 010 $a3-319-66384-4 024 7 $a10.1007/978-3-319-66384-5 035 $a(CKB)4100000000881639 035 $a(DE-He213)978-3-319-66384-5 035 $a(MiAaPQ)EBC5115323 035 $a(PPN)220128383 035 $a(EXLCZ)994100000000881639 100 $a20171027d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNon-Instantaneous Impulses in Differential Equations /$fby Ravi Agarwal, Snezhana Hristova, Donal O'Regan 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XI, 251 p. 49 illus.) 311 08$a3-319-66383-6 320 $aIncludes bibliographical references. 327 $aPreface -- 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. 330 $aThis 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 ? (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. 606 $aDifferential equations 606 $aDifferential Equations 615 0$aDifferential equations. 615 14$aDifferential Equations. 676 $a515.353 700 $aAgarwal$b Ravi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0953465 702 $aHristova$b Snezhana$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aO'Regan$b Donal$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910254289803321 996 $aNon-Instantaneous Impulses in Differential Equations$92155927 997 $aUNINA