LEADER 04227nam 22006615 450 001 9910131280603321 005 20200702070941.0 010 $a3-319-18248-X 024 7 $a10.1007/978-3-319-18248-3 035 $a(CKB)3710000000416823 035 $a(SSID)ssj0001501346 035 $a(PQKBManifestationID)11848384 035 $a(PQKBTitleCode)TC0001501346 035 $a(PQKBWorkID)11524525 035 $a(PQKB)10916777 035 $a(DE-He213)978-3-319-18248-3 035 $a(MiAaPQ)EBC6285526 035 $a(MiAaPQ)EBC5587053 035 $a(Au-PeEL)EBL5587053 035 $a(OCoLC)910498106 035 $a(PPN)186029535 035 $a(EXLCZ)993710000000416823 100 $a20150526d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAsymptotic Integration of Differential and Difference Equations /$fby Sigrun Bodine, Donald A. Lutz 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XI, 402 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2129 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-18247-1 327 $aIntroduction, Notation, and Background -- Asymptotic Integration for Differential Systems -- Asymptotics for Solutions of Difference Systems -- Conditioning Transformations for Differential Systems -- Conditioning Transformations for Difference Systems -- Perturbations of Jordan Differential Systems -- Perturbations of Jordan Difference Systems -- Applications to Classes of Scalar Linear Differential Equations -- Applications to Classes of Scalar Linear Difference Equations -- Asymptotics for Dynamic Equations on Time Scales. 330 $aThis book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites. . 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2129 606 $aDifferential equations 606 $aDifference equations 606 $aFunctional equations 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 615 0$aDifferential equations. 615 0$aDifference equations. 615 0$aFunctional equations. 615 14$aOrdinary Differential Equations. 615 24$aDifference and Functional Equations. 676 $a515.35 700 $aBodine$b Sigrun$4aut$4http://id.loc.gov/vocabulary/relators/aut$0718167 702 $aLutz$b Donald A$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910131280603321 996 $aAsymptotic integration of differential and difference equations$91392317 997 $aUNINA