LEADER 02656nam 22005775 450 001 996466659303316 005 20220406112328.0 010 $a3-540-46520-0 024 7 $a10.1007/BFb0103952 035 $a(CKB)1000000000437288 035 $a(SSID)ssj0000326197 035 $a(PQKBManifestationID)12091043 035 $a(PQKBTitleCode)TC0000326197 035 $a(PQKBWorkID)10264984 035 $a(PQKB)10993320 035 $a(DE-He213)978-3-540-46520-1 035 $a(MiAaPQ)EBC5595203 035 $a(PPN)155194550 035 $a(EXLCZ)991000000000437288 100 $a20121227d2000 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aRegular Variation and Differential Equations$b[electronic resource] /$fby Vojislav Maric 205 $a1st ed. 2000. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000. 215 $a1 online resource (CXLIV, 134 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1726 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-67160-9 320 $aIncludes bibliographical references (pages [119]-124) and index. 330 $aThis is the first book offering an application of regular variation to the qualitative theory of differential equations. The notion of regular variation, introduced by Karamata (1930), extended by several scientists, most significantly de Haan (1970), is a powerful tool in studying asymptotics in various branches of analysis and in probability theory. Here, some asymptotic properties (including non-oscillation) of solutions of second order linear and of some non-linear equations are proved by means of a new method that the well-developed theory of regular variation has yielded. A good graduate course both in real analysis and in differential equations suffices for understanding the book. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1726 606 $aPartial differential equations 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aPartial differential equations. 615 14$aPartial Differential Equations. 676 $a510 686 $a34A45$2msc 686 $a34C10$2msc 686 $a34E05$2msc 700 $aMaric$b Vojislav$4aut$4http://id.loc.gov/vocabulary/relators/aut$065493 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466659303316 996 $aRegular variation and differential equations$978813 997 $aUNISA