Geodesic
Well-posedness and bounds of solutions of singular Cauchy problems for systems of nonlinear ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 8, pp. 1150-1167 Cet article a éte moissonné depuis la source Math-Net.Ru

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I. B. Staroverova. Well-posedness and bounds of solutions of singular Cauchy problems for systems of nonlinear ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 8, pp. 1150-1167. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_8_a2/

[1] Birger E. S., Lyalikova N. B., “O nakhozhdenii dlya nekotorykh sistem obyknovennykh differentsialnykh uravnenii reshenii s zadannym usloviem na beskonechnosti. I”, Zh. vychisl. matem. i matem. fiz., 5:6 (1965), 979–990 ; II, 6:3 (1966), 446–453 | MR | Zbl | MR | Zbl

[2] Russel D. L., “Numerical solution of singular initial value problems”, SIAM J. Numer. Analys., 7:3 (1970), 399–417 | DOI | MR | Zbl

[3] Abramov A. A., “O povedenii granichnykh uslovii, perenosimykh v okrestnosti regulyarnoi osoboi tochki”, Zh. vychisl. matem. i matem. fiz., 20:4 (1980), 901–908 | MR | Zbl

[4] Konyukhova N. B., “Singulyarnye zadachi Koshi dlya sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 23:3 (1983), 629–645 | MR | Zbl

[5] Van Loon P. M., Reducing a singular linear two point boundary value problem to a regular one by means of Riccati transformation, EUT-Report 83-WSK-03, Eindhoven Univ., Eindhoven, Netherlands, 1983

[6] Van Loon P. M., Continuous decoupling transformations for linear boundary value problems, Techn. Univ., Eindhoven, Netherlands, 1987

[7] Konyukhova H. B., “O suschestvovanii i edinstvennosti reshenii singulyarnykh zadach Koshi dlya sistem nelineinykh funktsionalno-differentsialnykh uravnenii”, Dokl. AN SSSR, 295:4 (1987), 798–801 | MR | Zbl

[8] Konyukhova N. B., “Singulyarnye zadachi Koshi dlya sistem obyknovennykh differentsialnykh i funktsionalno-differentsialnykh uravnenii”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1988 | MR

[9] 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 (1984), 319–351 | MR | Zbl

[10] Abramov A. A., Konyukhova V. B., “Transfer of admissible boundary conditions from a singular point for systems of linear ordinary differential equations”, Sovjet. J. Numer. Analys. Math. Modelling, 1:4 (1986), 245–265 | DOI | MR | Zbl

[11] Birger E. S., “Ob otsenke pogreshnosti zameny usloviya ogranichennosti resheniya lineinogo differentsialnogo uravneniya na beskonechnom intervale”, Zh. vychisl. matem. i matem. fiz., 8:3 (1968), 674–678 | MR

[12] Balla K., “Ob otsenke pogreshnosti priblizhennogo resheniya nekotorykh singulyarnykh obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 27:10 (1987), 1489–1503 | MR

[13] 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

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

[15] Kitoroage D. I., Konyukhova N. B., Lariiskii B. S., Modifitsirovannyi metod fazovykh funktsii v singulyarnykh zadachakh kvantovoi fiziki na svyazannye sostoyaniya chastits, VTs AN SSSR, M., 1987