Voir la notice de l'article provenant de la source Math-Net.Ru
[1] Bronstein M., “Computer algebra algorithms for linear ordinary differential and difference equations”, Progress in Math., 202, Birkhäuser, Basel, 2001, 105–119 | MR | Zbl
[2] Singer M. F., van der Put M., Galois theory of linear differential equations, Grundlehren der Math. Wiss., 328, Springer, Heidelberg, 2003 | MR | Zbl
[3] Koddington E., Levinson H., Teoriya obyknovennykh differentsialnykh uravnenii, Izd-vo inostr. lit., M., 1958
[4] Barkatou M. A., Pfluegel E., “An algorithm computing the regular formal solutions of a system linear differential equations”, J. Symbolic Comput., 28 (1999), 569–587 | DOI | MR | Zbl
[5] Abramov S. A., Bronstein M., Khmelnov D. E., “On regular and logarithmic solutions of ordinary linear differential systems”, Comput. Algebra in Scient. Comput., Proc. CASC'05, Lect. Notes in Comput. Science, 3718, Springer, Berlin, Heildelberg, 2005, 1–12 | MR | Zbl
[6] Vorotnikov V. I., Rumyantsev V. V., Ustoichivost i upravlenie po chasti koordinat fazovogo vektora dinamicheskikh sistem: teoriya, metody i prilozheniya, Nauchn. mir, M., 2001 | MR | Zbl
[7] Vorotnikov V. I., Prokopev V. P., “Ob ustoichivosti dvizheniya otnositelno chasti peremennykh dlya lineinykh sistem”, Prikl. matem. i mekhan., 42 (1978), 268–271 | MR | Zbl
[8] Chermenskii A. G., “Nablyudaemost i ustoichivost po chasti peremennykh”, Differents. ur-niya, 23:4 (1987), 680–685 | MR
[9] Vazov V., Asimptoticheskie razlozheniya reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1968
[10] Abramov S. A., Bronstein M., “On solutions of linear functional systems”, Proc. of ISSAC'2001, ACM Press, New York, 2001, 1–6 | MR
[11] Barkatou M. A., “On rational solutions of systems of linear differential equations”, J. Symbolic Comput., 28 (1999), 547–567 | DOI | MR | Zbl
[12] Pfluegel E., “An algorithm for computing exponential solutions of first order linear differential systems”, Proc. ISSAC'1997, ACM Press, 1997, 164–171 | MR | Zbl
[13] Cope F. T., “Formal solutions of irregular differential equations”, Amer. J. Math., 58 (1936), 130–149 | DOI | MR
[14] Abramov S. A., Barkatou M. A., “Rational solutions of first order difference systems”, Proc. ISSAC'1998, ACM Press, New York, 1998, 124–131 | MR | Zbl
[15] Barkatou M. A., Chen G., “Computing the exponential part of a formal fundamental matrix of a linear difference system”, J. Difference Equat. and Applic., 5 (1999), 117–142 | DOI | MR | Zbl
[16] Singer M. F., Hendriks P. A., “Solving difference equations in finite terms”, J. Symbolic Comput., 27 (1999), 239–259 | DOI | MR | Zbl
[17] Petkovšek M., “Hypergeometric solutions of linear recurrences with polynomial coefficients”, J. Symbolic Comput., 14 (1992), 243–264 | DOI | MR | Zbl
[18] van Hoeij M., “Finite singularities and hypergeometric solutions of linear recurrence equations”, J. Pure and Appl. Algebra, 139 (1999), 109–131 | DOI | MR | Zbl
[19] Bronstein M., Petkovšek M., “On Ore rings, linear operators and factorization”, Programmirovanie, 1994, no. 1, 27–44 | MR | Zbl
[20] Bronstein M., Petkovšek M., “An introduction to pseudo-linear algebra”, Theor. Comput. Sci., 157 (1996), 3–33 | DOI | MR | Zbl