LEADER 03018nam 2200613 450 001 996466768003316 005 20220304103231.0 010 $a3-540-47388-2 024 7 $a10.1007/BFb0084432 035 $a(CKB)1000000000437073 035 $a(SSID)ssj0000323358 035 $a(PQKBManifestationID)12042126 035 $a(PQKBTitleCode)TC0000323358 035 $a(PQKBWorkID)10296664 035 $a(PQKB)11221879 035 $a(DE-He213)978-3-540-47388-6 035 $a(MiAaPQ)EBC5586053 035 $a(Au-PeEL)EBL5586053 035 $a(OCoLC)1066196574 035 $a(MiAaPQ)EBC6842620 035 $a(Au-PeEL)EBL6842620 035 $a(OCoLC)793079251 035 $a(PPN)155168630 035 $a(EXLCZ)991000000000437073 100 $a20220304d1991 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFunctional differential equations with infinite delay /$fYoshiyuki Hino, Satoru Murakami, Toshiki Naito 205 $a1st ed. 1991. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1991] 210 4$dİ1991 215 $a1 online resource (X, 318 p.) 225 1 $aLecture Notes in Mathematics ;$v1473 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-54084-9 327 $aPhase Spaces -- Fundamental theorems -- Stieltjes integrals and linear operators on ? -- General linear systems -- Linear autonomous systems -- Linear periodic systems -- Fading memory spaces and functional differential equations -- Stabilities in perturbed systems and limiting equations -- Existence of periodic solutions and almost periodic solutions. 330 $aIn the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1473. 606 $aFunctional equations 615 0$aFunctional equations. 676 $a515.75 700 $aHino$b Yoshiyuki$059918 702 $aMurakami$b Satoru$f1950- 702 $aNaito?$b Toshiki$f1944- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466768003316 996 $aFunctional differential equations with infinite delay$9262336 997 $aUNISA