000 | 03074nam a22004815i 4500 | ||
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001 | 978-3-540-46641-3 | ||
003 | DE-He213 | ||
005 | 20190213151621.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540466413 _9978-3-540-46641-3 |
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024 | 7 |
_a10.1007/BFb0094551 _2doi |
|
050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBK _2thema |
|
082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aSimpson, Carlos. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aAsymptotic Behavior of Monodromy _h[electronic resource] : _bSingularly Perturbed Differential Equations on a Riemann Surface / _cby Carlos Simpson. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aVI, 142 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1502 |
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505 | 0 | _aOrdinary differential equations on a Riemann surface -- Laplace transform, asymptotic expansions, and the method of stationary phase -- Construction of flows -- Moving relative homology chains -- The main lemma -- Finiteness lemmas -- Sizes of cells -- Moving the cycle of integration -- Bounds on multiplicities -- Regularity of individual terms -- Complements and examples -- The Sturm-Liouville problem. | |
520 | _aThis book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aGeometry, algebraic. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662193624 |
776 | 0 | 8 |
_iPrinted edition: _z9783540550099 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1502 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0094551 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11294 _d11294 |