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007 cr nn 008mamaa
008 121227s1988 gw | s |||| 0|eng d
020 _a9783540459187
_9978-3-540-45918-7
024 7 _a10.1007/BFb0080637
_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 _aMingarelli, Angelo B.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNon-Oscillation Domains of Differential Equations with Two Parameters
_h[electronic resource] /
_cby Angelo B. Mingarelli, S. Gotskalk Halvorsen.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1988.
300 _aXIV, 118 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 ;
_v1338
505 0 _aScalar linear ordinary differential equations -- Linear vector ordinary differential equations -- Scalar volterra-stieltjes integral equations -- Non-oscillation domains of differential equations with two parameters.
520 _aThis research monograph is an introduction to single linear differential equations (systems) with two parameters and extensions to difference equations and Stieltjes integral equations. The scope is a study of the values of the parameters for which the equation has one solution(s) having one (finitely many) zeros. The prototype is Hill's equation or Mathieu's equation. For the most part no periodicity assumptions are used and when such are made, more general notions such as almost periodic functions are introduced, extending many classical and introducing many new results. Many of the proofs in the first part are variational thus allowing for natural extensions to more general settings later. The book should be accessible to graduate students and researchers alike and the proofs are, for the most part, self-contained.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aHalvorsen, S. Gotskalk.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662205945
776 0 8 _iPrinted edition:
_z9783540500780
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1338
856 4 0 _uhttps://doi.org/10.1007/BFb0080637
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9827
_d9827