On a singular boundary-value problem for linear Hamiltonian systems of ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 45-56 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. A. Abramov; A. A. Aslanyan. On a singular boundary-value problem for linear Hamiltonian systems of ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 45-56. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a6/

[1] Abramov A. A., Balla K., “O priblizhennykh resheniyakh, osnovannykh na teoremakh sravneniya, skalyarnykh i matrichnykh uravnenii Rikkati na beskonechnom intervale”, Zh. vychisl. matem. i matem. fiz., 33:1 (1993), 35–51 | MR | Zbl

[2] Abramov A. A., Aslanyan A. A., Balla K., “Sravnenie reshenii progonochnykh uravnenii pri perenose granichnykh uslovii iz beskonechnosti dlya gamiltonovykh lineinykh sistem”, Zh. vychisl. matem. i matem. fiz., 35:12 (1995), 1808–1818 | MR | Zbl

[3] Koddington E. A., Levinson N., Teoriya obyknovennykh differentsialnykh uravnenii, Izd-vo inostr. lit., M., 1958

[4] Abramov A. A., “Ob otyskanii sobstvennykh znachenii i sobstvennykh funktsii samosopryazhennoi differentsialnoi zadachi”, Zh. vychisl. matem. i matem. fiz., 31:6 (1991), 819–831 | MR

[5] Abramov A. A., Balla K., Konyukhova N. B., “Ustoichivye nachalnye mnogoobraziya i singulyarnye kraevye zadachi dlya sistem obyknovennykh differentsialnykh uravnenii”, Comput. Math., Banach Center Publs., 13, PWN, Warsaw, 1984, 319–351 | MR

[6] Ikramov Kh. D., Chislennoe reshenie matrichnykh uravnenii, Nauka, M., 1984 | MR | Zbl

[7] Royden H. L., “Comparison theorems for matrix Riccati equation”, Communs Pure and Appl. Math., 41 (1988), 739–746 | DOI | MR | Zbl

[8] Kato T., Perturbation theory for linear operators, Springer, Berlin, 1966

[9] Abramov A. A., Konyukhova N. B., Pariiskii B. S. i dr., “Svobodnye osesimmetrichnye kolebaniya zamknutykh uprugikh tonkostennykh obolochek vrascheniya”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1991

[10] Abramov A. A., Aslanyan A. A., “Obobschenie odnogo metoda resheniya zadachi na sobstvennye znacheniya dlya gamiltonovykh sistem”, Zh. vychisl. matem. i matem. fiz., 34:12 (1994), 1896–1901 | MR | Zbl