02633nam 22005775 450 991014631360332120220406112328.03-540-46520-010.1007/BFb0103952(CKB)1000000000437288(SSID)ssj0000326197(PQKBManifestationID)12091043(PQKBTitleCode)TC0000326197(PQKBWorkID)10264984(PQKB)10993320(DE-He213)978-3-540-46520-1(MiAaPQ)EBC5595203(PPN)155194550(EXLCZ)99100000000043728820121227d2000 u| 0engurnn#008mamaatxtccrRegular Variation and Differential Equations /by Vojislav Maric1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (CXLIV, 134 p.)Lecture Notes in Mathematics,0075-8434 ;1726Bibliographic Level Mode of Issuance: Monograph3-540-67160-9 Includes bibliographical references (pages [119]-124) and index.This 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.Lecture Notes in Mathematics,0075-8434 ;1726Differential equations, PartialPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Differential equations, Partial.Partial Differential Equations.51034A45msc34C10msc34E05mscMaric Vojislavauthttp://id.loc.gov/vocabulary/relators/aut65493MiAaPQMiAaPQMiAaPQBOOK9910146313603321Regular variation and differential equations78813UNINA