Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2006_4_a7, author = {A. A. Shcheglova}, title = {On generalized solutions of linear algebro-differential systems}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {65--78}, publisher = {mathdoc}, number = {4}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2006_4_a7/} }
A. A. Shcheglova. On generalized solutions of linear algebro-differential systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2006), pp. 65-78. http://geodesic.mathdoc.fr/item/IVM_2006_4_a7/
[1] Melnikova I. V., Anufrieva U. A., Ushkov V. Yu., “Degenerate distribution semigroups and well-posedness of the Cauchy problem”, J. Integral Transforms and Special Funct., 6:1–4 (1997), 228–337 | MR
[2] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967, 575 pp. | MR
[3] Sidorov N. A., Falaleev M. V., “Obobschennye resheniya vyrozhdennykh differentsialnykh uravnenii v banakhovykh prostranstvakh”, Metod funktsii Lyapunova v analize dinamiki sistem, Nauka, Novosibirsk, 1987, 308–318 | MR
[4] Cobb D., “On the solution of linear differential equations with singular coefficients”, J. Different. Equations, 1982, no. 42, 311–323 | MR
[5] Geerts T., “Solvability conditions, consistency and weak consistency for linear differential-algebraic equations and time-invariant singular systems: the general case”, Lin. Alg. Appl., 1993, no. 181, 111–130 | DOI | MR | Zbl
[6] Rabier P. J., Rheinboldt W. C., Theoretical and numerical analysis of differential-algebraic equations, Handbook of Numerical Analysis, VIII, Amsterdam, 2002 | MR
[7] Scheglova A. A., Chistyakov V. F., “Ustoichivost lineinykh algebro-differentsialnykh sistem”, Differents. uravneniya, 40:1 (2004), 47–57 | MR
[8] Scheglova A. A., “K voprosu ob obobschennom reshenii algebro-differentsialnykh sistem”, Sib. matem. zhurn., 43:4 (2002), 964–973 | MR
[9] Shcheglova A. A., “Classical and generalized solutions of differential-algebraic systems with deviating argument”, Functional Differential Equations, 2004, no. 3–4, 485–510 | MR | Zbl
[10] Chistyakov V. F., Algebro-differentsialnye operatory s konechnomernym yadrom, Nauka, Novosibirsk, 1996, 280 pp. | MR
[11] Chistyakov V. F., Scheglova A. A., Izbrannye glavy teorii algebro-differentsialnykh sistem, Nauka, Novosibirsk, 2003, 320 pp. | MR | Zbl
[12] Boyarintsev Yu. E., Metody resheniya vyrozhdennykh sistem obyknovennykh differentsialnykh uravnenii, Nauka, Novosibirsk, 1998, 157 pp. | Zbl
[13] Gelfand I. M., Shilov G. E., Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1959, 470 pp.
[14] Shilov G. E., Matematicheskii analiz. Vtoroi spetsialnyi kurs, Nauka, M., 1965, 327 pp. | MR