@article{ZVMMF_2002_42_7_a6,
author = {A. A. Abramov and K. Balla and V. I. Ul'yanova and L. F. Yukhno},
title = {On a nonlinear selfadjoint spectral problem for some differential-algebraic equations of index~$1$},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {996--1012},
year = {2002},
volume = {42},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_7_a6/}
}
TY - JOUR AU - A. A. Abramov AU - K. Balla AU - V. I. Ul'yanova AU - L. F. Yukhno TI - On a nonlinear selfadjoint spectral problem for some differential-algebraic equations of index $1$ JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2002 SP - 996 EP - 1012 VL - 42 IS - 7 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_7_a6/ LA - ru ID - ZVMMF_2002_42_7_a6 ER -
%0 Journal Article %A A. A. Abramov %A K. Balla %A V. I. Ul'yanova %A L. F. Yukhno %T On a nonlinear selfadjoint spectral problem for some differential-algebraic equations of index $1$ %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2002 %P 996-1012 %V 42 %N 7 %U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_7_a6/ %G ru %F ZVMMF_2002_42_7_a6
A. A. Abramov; K. Balla; V. I. Ul'yanova; L. F. Yukhno. On a nonlinear selfadjoint spectral problem for some differential-algebraic equations of index $1$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 7, pp. 996-1012. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_7_a6/
[1] Abramov A. A., “O vychislenii sobstvennykh znachenii nelineinoi spektralnoi zadachi dlya gamiltonovykh sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 41:1 (2001), 29–38 | MR | Zbl
[2] Balla K., März R., A unified approach to linear differential algebraic equations and their adjoint equations, Preprint No. 2000-18, Humboldt-Univ., Berlin, 2000 | MR | Zbl
[3] Griepentrog E., März R., Differential algebraic equations and their numerical treatment, Teubner, Leipzig, 1986 | MR | Zbl
[4] Yukhno L. F., “O chislennom reshenii nelineinoi spektralnoi zadachi dlya simmetricheskikh matrits”, Zh. vychisl. matem. i matem. fiz., 27:9 (1987), 1320–1326 | MR
[5] Moszyǹski K., “A method of solving the boundary value problem for a system of linear ordinary differential equations”, Algoritmy, 11:3 (1964), 25–43 | MR
[6] Balla K., “Boundary conditions and their transfer for differential algebraic equations of index 1”, Comput. and Math. with Applic., 31:10 (1996), 1–5 | DOI | MR | Zbl
[7] Abramov A. A., “O perenose granichnykh uslovii dlya sistem lineinykh obyknovennykh differentsialnykh uravnenii (variant metoda progonki)”, Zh. vychisl. matem. i matem. fiz., 1:3 (1961), 542–545 | MR
[8] Bulla K., März R., “Transfer of boundary conditions for DAE's of index 1”, SIAM J. Numer. Analys., 33:6 (1996), 2318–2332 | DOI | MR
[9] März R., “Numerical methods for differential algebraic equations”, Acta Numerica, 1 (1992), 141–198 | DOI | MR
[10] Brenan K. E., Campbell S. L., Petzold L. R., Numerical solution of initial-value problems in differential algebraic equations, Elsevier Sci. Publ., Amsterdam, 1989 | MR
[11] Boyarintsev Yu. E., Metody resheniya nepreryvnykh i diskretnykh zadach dlya singulyarnykh sistem uravnenii, Nauka, Novosibirsk, 1996 | MR | Zbl
[12] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl
[13] Faddeev D. K., Faddeeva V. N., Vychislitelnye metody lineinoi algebry, Fizmatgiz, M., 1960 | MR
[14] Kiełbasiński A., Schwetlik H., Numerische lineare Algebra, Deutscher Verlag Wiss., Berlin, 1988 | MR | Zbl
[15] Dolezal V., “The existence of a continuous basis of a certain linear subspace of $E_r$ which depends on a parameter”, Časopis pěst. mat., 89 (1964), 466–468 | MR | Zbl
[16] Ascher U. M., Petzold L. R., “Projected implicit Runge–Kutta methods for differential algebraic equations”, SIAM J. Numer. Analys., 28:4 (1992), 1097–1119 | DOI | MR
[17] Higueras J., März R., Formulating differential algebraic equations properly, Preprint No 2000-20, Humboldt-Univ., Berlin, 2000
[18] März R., Differential algebraic systems anew, Preprint No 2000-21, Humboldt-Univ., Berlin, 2000 | MR | Zbl