@article{VYURU_2018_11_4_a13,
author = {M. V. Bulatov and A. V. Keller and A. A. Kosov and A. V. Lakeev and A. A. Levin and Nguen Khak Diep and Nguen Dik Bang and N. A. Manakova and G. A. Rudykh and \`E. I. Semenov and L. S. Solovarova and E. V. Chistyakova},
title = {To the 70th anniversary of professor {V.} {F.~Chistyakov}},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
pages = {169--176},
year = {2018},
volume = {11},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURU_2018_11_4_a13/}
}
TY - JOUR AU - M. V. Bulatov AU - A. V. Keller AU - A. A. Kosov AU - A. V. Lakeev AU - A. A. Levin AU - Nguen Khak Diep AU - Nguen Dik Bang AU - N. A. Manakova AU - G. A. Rudykh AU - È. I. Semenov AU - L. S. Solovarova AU - E. V. Chistyakova TI - To the 70th anniversary of professor V. F. Chistyakov JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie PY - 2018 SP - 169 EP - 176 VL - 11 IS - 4 UR - http://geodesic.mathdoc.fr/item/VYURU_2018_11_4_a13/ LA - ru ID - VYURU_2018_11_4_a13 ER -
%0 Journal Article %A M. V. Bulatov %A A. V. Keller %A A. A. Kosov %A A. V. Lakeev %A A. A. Levin %A Nguen Khak Diep %A Nguen Dik Bang %A N. A. Manakova %A G. A. Rudykh %A È. I. Semenov %A L. S. Solovarova %A E. V. Chistyakova %T To the 70th anniversary of professor V. F. Chistyakov %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie %D 2018 %P 169-176 %V 11 %N 4 %U http://geodesic.mathdoc.fr/item/VYURU_2018_11_4_a13/ %G ru %F VYURU_2018_11_4_a13
M. V. Bulatov; A. V. Keller; A. A. Kosov; A. V. Lakeev; A. A. Levin; Nguen Khak Diep; Nguen Dik Bang; N. A. Manakova; G. A. Rudykh; È. I. Semenov; L. S. Solovarova; E. V. Chistyakova. To the 70th anniversary of professor V. F. Chistyakov. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 4, pp. 169-176. http://geodesic.mathdoc.fr/item/VYURU_2018_11_4_a13/
[1] Yu.E. Boyarintsev, V.M. Korsukov, “Primenenie raznostnykh metodov k resheniyu regulyarnykh sistem obyknovennykh differentsialnykh uravnenii”, Voprosy prikladnoi matematiki, SEI SO AN SSSR, Irkutsk, 1975, 140–152 | MR
[2] F.R. Gantmakher, Teoriya matrits, Nauka, M., 1967 | MR
[3] G.V. Demidenko, S.V. Uspenskii, Uravneniya i sistemy, ne razreshennye otnositelno proizvodnoi, Nauchnaya kniga, Novosibirsk, 1998 | MR
[4] S.G. Krein, N.I. Chernyshev, Singulyarno vozmuschennye differentsialnye uravneniya v banakhovykh prostranstvakh, Preprint, Institut matematiki, SO RAN SSSR, Novosibirsk, 1979, 18 pp.
[5] G.A. Kurina, “Primenenie metoda shatrov k zadache optimalnogo upravleniya dlya odnogo differentsialnogo uravneniya s vyrozhdennoi matritsei pri proizvodnoi”, Differentsialnye uravneniya, 15:4 (1979), 600–608 | MR | Zbl
[6] N.N. Luzin, “K izucheniyu matrichnoi teorii differentsialnykh uravnenii”, Avtomatika i telemekhanika, 1940, no. 5, 3–66 | MR
[7] A.G. Rutkas, “Zadacha Koshi dlya uravneniya $Ax'(t)+Bx(t)=f(t)$”, Differentsialye uravneniya, 11:11 (1975), 1996–2010 | MR | Zbl
[8] Yu.E. Boyarintsev, V.F. Chistyakov, Algbro-differentsialnye sistemy: metody resheniya i issledovaniya, Nauka, Novosibirsk, 1998 | MR
[9] V.F. Chistyakov, A.A. Scheglova, Izbrannye glavy teorii algebro-differentsialnykh sistem, Nauka, Novosibirsk, 2003 | MR
[10] A.A. Belov, A.P. Kurdyukov, Deskriptornye sistemy i zadachi upravleniya, Fizmatlit, M., 2015
[11] G.A. Sviridyuk, “Ob odnoi singulyarnoi sisteme obyknovennykh differentsialnykh uravnenii”, Differentsialnye uravneniya, 23:9 (1987), 1637–1639 | MR | Zbl
[12] N.A. Sidorov, “Ob odnom klasse vyrozhdennykh differentsialnykh uravnenii s konvergentsiei”, Matematicheskie zametki, 35:4 (1984), 569–579 | MR
[13] V.P. Skripnik, “Vyrozhdennye lineinye sistemy”, Izvestiya vuzov. Seriya: Matematika, 1982, no. 3, 62–67 | Zbl
[14] Yu.D. Shlapak, “O periodicheskikh resheniyakh nelineinykh differentsialnykh uravnenii vtorogo poryadka, ne razreshennykh otnositelno starshei proizvodnoi”, Ukrainskii matematicheskii zhurnal, 26:6 (1974), 850–854 | MR
[15] S.L. Campbell, “Canonical Forms and Solvable Systems of Differential Equations”, SIAM Journal on Algebraic Discrete Methods, 1983, no. 4, 517–521 | DOI | MR | Zbl
[16] C.W. Gear, “The Simultaneous Numerical Solution of Differential Algebraic Equations”, IEEE Transactions on Circuit Theory, CT-18 (1971), 89–95 | DOI
[17] E. Griepentrog, R. März, Differential-Algebraic Equations and Their Numerical Treatment, Teubner, Leipzig, 1986 | MR | Zbl
[18] E. Hairer, C. Lubich, M. Roche, The Numerical Solution of Differential-Algebraic Systems by Runge–Kutta Methods, Springer, Berlin, 1989 | MR | Zbl
[19] M. Hanke, “On a Least-Squares Collocation Method for Linear Differential-Algebraic Equations”, Numerische Mathematik, 54:1 (1989), 79–90 | DOI | MR
[20] P. Kunkel, V. Mehrmann, Differential-Algebraic Equations – Analysis and Numerical Solution, EMS Publishing House, Zurich, 2006 | MR
[21] R. Lamour, “A Well-Posed Shooting Method for Transferable DAEs”, Numerische Mathematik, 1991, no. 59, 815–829 | DOI | MR
[22] R. März, “Multistep Methods for Initial Value Problems in Implicit Differential Algebraic Equations”, Beitrage zur num. mathem., 1984, no. 12, 107–123 | MR | Zbl
[23] G. Sviridyuk, V. Fedorov, Linear Sobolev Type Equations and Degenerate Semigroups of Operators, VSP, Utrecht–Boston–Köln–Tokyo, 2003 | MR | Zbl
[24] A. Favini, A. Yagi, Degenerate Differential Equations in Banach Spaces, Marcel Dekker Inc., N.Y., 1999 | MR | Zbl
[25] R.E. Showalter, “Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type”, SIAM Journal of Mathematical Analysis, 1975, no. 6, 25–42 | DOI | MR | Zbl
[26] V.F. Chistyakov, O metodakh chislennogo resheniya i issledovaniya singulyarnykh sistem obyknovennykh differentsialnykh uravnenii, dis. ... kand. fiz.-mat. nauk, Irkutsk, 1985 | MR
[27] V.F. Chistyakov, Algebro-differentsialnye operatory s konechnomernym yadrom, Nauka, Novosibirsk, 1996 | MR
[28] V.F. Chistyakov, Sistemy integro-differentsialnykh uravnenii s tozhdestvenno vyrozhdennoi glavnoi chastyu, dis. ... d-ra fiz.-mat. nauk, Irkutsk, 2002
[29] M.R. Pjesic, V.F. Chistyakov, D.Lj. Debeljkovic, Dinamicka analiza posebnih klasa linearnih singularnih sistema sa cistim vremenskim kasnjenjem: stabilnost i robustnost, Univerzitet u Beogradu, Masinski fakultet, 2008