000 02298nam a2200325| 4500
001 84162
005 20211104164539.0
010 _a978-3-319-18248-3
_dcompra
090 _a84162
100 _a20190128d2015 k||y0pory50 ba
101 _aeng
102 _aCH
200 _aAsymptotic integration of differential and difference equations
_bDocumento eletrn̤ico
_fSigrun Bodine, Donald A. Lutz
210 _aCham
_cSpringer International Publishing
_d2015
215 _aXI, 402 p.
225 _aLecture Notes in Mathematics
_h2129
300 _aColocaȯ̂: Online
303 _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 _x0075-8434
_v2129
606 _aEquaė̳s diferenciais
_91072
606 _aEquaė̳s funcionais
_930543
680 _aQA372
700 _aBodine
_bSigrun
_933611
701 _aLutz
_bDonald A.
_4070
_933612
801 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/978-3-319-18248-3
942 _2lcc
_cF
_n0