Record ID | ia:asymptoticanalys0000maji |
Source | Internet Archive |
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LEADER: 04368cam 2200805 i 4500
001 ocm11187526
003 OCoLC
005 20201015025108.0
008 840726s1984 gw a b 001 0 eng
010 $a 84014077
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020 $a0387133755$q(U.S. ;$qpbk.)
020 $a9780387133751$q(U.S. ;$qpbk.)
020 $a3540133755
020 $a9783540133759
035 $a(OCoLC)11187526$z(OCoLC)556596615
050 00 $aQA3$b.L28 no. 1075
082 00 $a510 s$a515.3/53$219
084 $aPB 81(P)$2blsrissc
084 $a35C20$2msc
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100 1 $aMajima, Hideyuki,$d1952-$eauthor.
245 10 $aAsymptotic analysis for integrable connections with irregular singular points /$cHideyuki Majima.
264 1 $aBerlin ;$aNew York :$bSpringer-Verlag,$c1984.
300 $avi, 159 pages :$billustrations ;$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics ;$v1075
504 $aIncludes bibliographical references (pages 152-157) and index.
520 $a"Using strongly asymptotic expansions of functions of several variables, we prove existence theorems of asymptotic solutions to integrable systems of partial differential equations of the first order with irregular singular points under certain general conditions. We also prove analytic splitting lemmas for completely integrable linear Pfaffian systems. Moreover, for integrable connections with irregular singular points, we formulate and solve the Riemann­-Hilbert-­Birkhoff problem, and prove analogues of Poincare's lemma and de Rham cohomology theorem under certain general conditions."
505 0 $aGeneral introduction -- Asymptotic developability and vanishing theorems in asymptotic analysis -- Existence theorems of asymptotic solutions to systems of partial differential equations of the first order and splitting lemmas -- Stokes phenomena and Riemann-Hilbert-Birkhoff problem for integrable connections with irregular singular points -- The ∇-Poincaré's lemma and ∇-deRham cohomology theorem for integrable connections with irregular singular points.
650 0 $aDifferential equations, Partial$xAsymptotic theory.
650 0 $aPfaffian problem.
650 0 $aSheaf theory.
650 0 $aHomology theory.
650 6 $aÉquations aux dérivées partielles$xThéorie asymptotique.
650 6 $aPfaff, Équations de.
650 6 $aFaisceaux, Théorie des.
650 7 $aDifferential equations, Partial$xAsymptotic theory.$2fast$0(OCoLC)fst00893485
650 7 $aHomology theory.$2fast$0(OCoLC)fst00959720
650 7 $aPfaffian problem.$2fast$0(OCoLC)fst01059998
650 7 $aSheaf theory.$2fast$0(OCoLC)fst01115421
650 7 $aPARTIAL DIFFERENTIAL EQUATIONS.$2nasat
650 7 $aASYMPTOTIC METHODS.$2nasat
650 7 $aPFAFF EQUATION.$2nasat
650 7 $aHOMOLOGY.$2nasat
776 08 $iOnline version:$aMajima, Hideyuki, 1952-$tAsymptotic analysis for integrable connections with irregular singular points.$dBerlin ; New York : Springer-Verlag, 1984$w(OCoLC)624427557
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v1075.
856 41 $3Table of contents$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2157611&custom_att_2=simple_viewer
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht002483623.pdf
856 4 $3Cover$qapplication/pdf$uhttp://swbplus.bsz-bw.de/bsz00936496Xcov.htm$v20110329084415
938 $aBaker & Taylor$bBKTY$c34.95$d34.95$i0387133755$n0000916826$sactive
938 $aBrodart$bBROD$n35360321$c$9.30
938 $aBaker and Taylor$bBTCP$n84014077
938 $aYBP Library Services$bYANK$n317902
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994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 282 OTHER HOLDINGS