tailieunhanh - Báo cáo toán học: "Stable dissipative linear stationary dynamical scattering systems."

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Ổn định hệ thống tiêu tán tuyến tính tĩnh tán xạ động học. | J. operator theory 2 1979 95-126 Copyright by INCREST 1979 yCTOIÍHHBblE HCCHnATMBHblE JIWHEHHblE CTAJHWOHAPHblE X HHAMHqECKHE CBCTEMbl PACCEHHWH fl. 3. APOB BBEflEHHE B TeopnH naccHBHMX jiiiHeiiiibix CTaptionapiibix ajieKTpMaecKHX lỊeneìĩ xoponio HSBecTeH MeTOfl 3aPJ1HHrT0Ha pcajiiiaapnii KOHeHHOTO MfleajibHoro flByxnoaiocHMKa c HOTepHMM nyTeM aaMMKaHHH Ha BLixofle eflHHHHHbiM conpo-THBJieHneM HeKOToporo HeTbipexnojHOCHMKa 6e3 HOTepb 9 . KoaặỘHụHBHT OTpa-7K6HHH 0 peajiHByeMOTO pByxnojHOCHHKa HBJIH6TCH ajieMGHTOM MaTpniỊbi pacceHHMH 0 cooTBeTCTByioipero HeTupexnojnocHHKa õea HOTepb OTcyTCTBHe HOTepb OTpaHĩaeTCH B TOM HTO 0 npHHHMaeT yHHTapHHe BHaneHHH Ha rpaHHpe ỘHBHHeCKOii OÕdiaCTH npaBOH HJIH BepXHeii HOJiynJIOCKOCTH HJIH eflHHHHHoro Kpyra . PaccMOTpenne MaTpiip pacceHHHH HO3BOJIHJIO BeneBHHy oõoõmHTb peayjlbTaT JỊapjiHHrTOHa Ha KOHeHHbie nseajibHbie 2n-n0HK CHHKH c HOTepHMH 16 . CaM JỊapjiHHrTOH paccMaTpHBaji He 0 H 0 a Jtpyri-ie HacTOT-Hbie xapaKTepHCTHKH MMiieflanc z 3Byxn0Jii0CHHKa H ripoxoAHyro MaTpiiny A neTMpexnojiiocHHKa Z H A npocTO BbipaJKaioTCH cooTBeTCTBCHHO nepea 0 H 0 . Ha 9T0M nyTH peayjlbTaT JỊapjiMHTTOHa 0MJI oỔoÕHỊeH Ha KoiieaHLie HffieajibHbie 2n-nojiK CHHKH c HOTepHMH B. n. noTanoBMM 14 H ero yneKHpeft E. H. MejiaMya 12 . CjieflyeT OTMeTHTb HTO XtapjiHHrTOH npeflJiaraH CBoft MeTOffl MH cHHTeaa peneft 18 CHirraji ero yHHBepcajibHbiM npHMeHHMMM HCGJieflOBaHHH no naCTOTHEIM XapaKTepHCTHKaM CHCTBMbl pacceHHHH c nOTepHMH JIK ỔOỈÍ ỘH3H-HecKOfi npHpo bi. B sajibHeftmeM OHeBHHHO HeaaBHCHMo OT J apjiHHTTOHa npeflCTaBJieHHe MaTpniỊM pacceHHHH 0 CHCTeMbi c noTepHMH B BH Ịe ÕJi0Ka MaTpniỊbi pacceHHHH 0 cHCTeMH 6es noTepb HCHOJibBOBajiocb B ặHBMKe Hflep-Hbix peaKỤHii 11 . OflHaKO npocTue cooõpaHteHHH anaJiHTHHecKoro xapaKTepa noKasbi-BaioT HTO HanpHMep B cjiynae KOTfla 0 yHHTapna JIHHIB Ha HeKOTopoM npo-MeatyTKe rpaHHiỊbi ỘHBHHecKOỈi oốnacTH MeTOfl - apjiiiHrTOiia He npHMeHHM. B paốOTe 1 aBTop Bbi ejiHji ecTecTBeHHUH KJiacc Bn MaTpHiỊ pacceHHHH 0 .