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020 _a9783319182483
_9978-3-319-18248-3
024 7 _a10.1007/978-3-319-18248-3
_2doi
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
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082 0 4 _a515.352
_223
100 1 _aBodine, Sigrun.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAsymptotic Integration of Differential and Difference Equations
_h[electronic resource] /
_cby Sigrun Bodine, Donald A. Lutz.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXI, 402 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2129
505 0 _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.
520 _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. .
650 0 _aDifferential Equations.
650 0 _aFunctional equations.
650 1 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aDifference and Functional Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12031
700 1 _aLutz, Donald A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319182490
776 0 8 _iPrinted edition:
_z9783319182476
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2129
856 4 0 _uhttps://doi.org/10.1007/978-3-319-18248-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10304
_d10304