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- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0001-5954
- eISSN
- 1588-2632
- DOI
- 10.1007/BF01895128
- Publisher site
- See Article on Publisher Site
Abstract
Acta Mathematica Academiae Scientiarum Hungaricae Tomus 37 (4), (1981), 301--306. AHAIIH3 O~HOPO~HOI7'I CHCTEMbI C HEOPj~HHAPHblM HOCTVH3-IEHI/IEM 14 HAPHblM T. A. AHHAEB (Amxa6azJ ~ 3-I. 3-IAKATOHI (ByflartemT) 1. IlycTl, fit, t_->00~rlopo2[Haz n;elil, MapI(oBa ~ qba3oBOM IIpOCTpaHCTBe {0, 1, ...} rI C.rle~yIomrrMrI SloI(a.III~FII, IMH rlepexo~Hl~iMri BepoaTHOCTmV~ 3a BpeMa t(t~O): [p{k 2-~ k+2-r} = 3z,+a,t +o(t), (1) |P{1 2_. r} = ~+b~t+o(t), [P{O ~--. r} = ~o~+C,t+oO) (k>2 r>O)= 32;ecI~ 6~j --CrrMBO~I KporleI(epa, a2<0, a0 >0, b~<0, c0<0 , OCTa.llt,i-Ible at, br, c r HeoTpm~aTe~brI~ie rI (2) Za, = b~-- c~ = O. r~O r~0 r=0 ~t HHTeplIpeTrlpyeM KaK q~rC.llO TpeSoBam~ B MOMeHT t B o~ioI(aHaJibnoft CItCTeMe o6cJIyxrmanrra c o~epe~l, iO. rlp~i6op o6cJiyx~maeT o~I~oBpeMenmo ~Ba Tpe6oBa- rlrr~l (eCJ1H TaI<OBl, Ie eCTI,) ~.rlrI O~HO B cJIe~ylomrlx Ilpe~IIoJioxenrtzx: 1) ecJII~ ~t=k_->2 (nprI6op 3arpyxen), TO aoA+o(A) (alA+o(A)) --BepoaT- HOCTI, TOrO ~ITO K MOMerlTy t+A ofa Tpe6oBarlm/ (o~io 1,13 TpeSoBal:trli]) 6y~yT o6cJIyxem,I, a a~A +o(A), r>2 ~ sepOaTHOCT~, TOrO, qTO K MOMeI:ITy t+A IIOC- TylIrlT rpyllna rt3 r-2 Tpe6oBam~; 2) ec~IrI ~t=l (nprI6op ne~orpy,'Keri), TO boA+o(A) --BepoaTnOCT~, TOrO, qTO K MOMeHTy I+A e~tlHeTBeHl~oe Tpe6oBarme, 3aHgMaBmee IIp~6op B MOMeHT t, 6y~er o6c~IyxeHo, a b~A+o(A), r>l --BepoaTHOCTI~ noerynaerm~ x MoMenTy t+A rpylIn~i I~3 r--I Tpe6oBaHrla; 3) ec~l~ ~t-----0
Journal
Acta Mathematica Academiae Scientiarum Hungarica – Springer Journals
Published: Jun 18, 2005