Geodesic
Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 4, pp. 595-619 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2001_41_4_a7,
     author = {A. L. Duischko and M. P. Carpentier and N. B. Konyukhova and P. M. Lima},
     title = {Singular problems for {Emden-Fowler-type} second-order nonlinear ordinary differential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {595--619},
     year = {2001},
     volume = {41},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a7/}
}
TY  - JOUR
AU  - A. L. Duischko
AU  - M. P. Carpentier
AU  - N. B. Konyukhova
AU  - P. M. Lima
TI  - Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2001
SP  - 595
EP  - 619
VL  - 41
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a7/
LA  - ru
ID  - ZVMMF_2001_41_4_a7
ER  - 
%0 Journal Article
%A A. L. Duischko
%A M. P. Carpentier
%A N. B. Konyukhova
%A P. M. Lima
%T Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2001
%P 595-619
%V 41
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a7/
%G ru
%F ZVMMF_2001_41_4_a7
A. L. Duischko; M. P. Carpentier; N. B. Konyukhova; P. M. Lima. Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 4, pp. 595-619. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a7/

[1] Bellman R., Teoriya ustoichivosti reshenii differentsialnykh uravnenii, Izd-vo inostr. lit., M., 1954 | MR

[2] Flyugge Z., Zadachi po kvantovoi mekhanike, v. 2, Mir, M., 1974

[3] Sansone D., Obyknovennye differentsialnye uravneniya, v. 2, Izd-vo inostr. lit., M., 1954

[4] Chechik V. A., “Issledovanie sistem obyknovennykh differentsialnykh uravnenii s singulyarnostyu”, Tr. Mosk. matem. ob-va, 8, 1959, 155–198 | Zbl

[5] Voronov N. A., Dyshko A. L., Konyukhova N. B., Staroverova I. B., “O nelineinykh singulyarnykh zadachakh v relyativistskoi kosmologii. I: Pole Khiggsa v prostranstvakh Minkovskogo i Fridmana”, Zh. vychisl. matem. i matem. fiz., 37:11 (1997), 1345–1361 | MR | Zbl

[6] Staroverova I. B., “Singulyarnye zadachi Koshi s parametrami dlya sistem nelineinykh obyknovennykh differentsialnykh uravnenii”, Soobsch. po prikl. matem., VTs RAN, M., 1997

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

[8] Lyapunov A. M., Obschaya zadacha ob ustoichivosti dvizheniya, Gostekhteoretizdat, M.–L., 1950 | Zbl

[9] Staroverova I. B., “O korrektnosti i otsenkakh reshenii singulyarnykh zadach Koshi dlya sistem nelineinykh obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 34:8–9 (1994), 1150–1167 | MR | Zbl

[10] Wong J. S. W., “On the generalized Emden-Fowler equations”, SIAM Rev., 17:2 (1975), 339–360 | DOI | MR | Zbl

[11] Vazov V., Asimptoticheskie razlozheniya reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1968

[12] Landau L. D., Livshits E. M., Kvantovaya mekhanika. Nerelyativistskaya teoriya, Nauka, M., 1989

[13] Filippov A. F., Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985 | MR

[14] Konyukhova N. B., “Ob ustoichivykh mnogoobraziyakh Lyapunova dlya avtonomnykh sistem nelineinykh obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 34:10 (1994), 1358–1379 | MR | Zbl

[15] Konyukhova N. B., “Gladkie mnogoobraziya Lyapunova i singulyarnye kraevye zadachi”, Soobsch. po prikl. matem., VTs RAN, M., 1996

[16] Kiguradze I. T., Shekhter B. L., “Singulyarnye kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii vtorogo poryadka”, Itogi nauki i tekhn. Sovrem. probl. matem., 30, VINITI, M., 1987, 105–200 | MR

[17] Vasilev N. I., Klokov Yu. A., Osnovy teorii kraevykh zadach obyknovennykh differentsialnykh uravnenii, Zinatne, Riga, 1978 | MR

[18] Lefshets S., Geometricheskaya teoriya differentsialnykh uravnenii, Izd-vo inostr. lit., M., 1961 | MR

[19] Flagg R. C., Luning C. D., Perry W. L., “Implementation of new iterative techniques for solutions of Thomas-Fermi and Emden-Fowler equations”, J. Comput. Phys., 38 (1980), 396–405 | DOI | MR | Zbl

[20] Bender C. M., Orszag S., Advanced mathematical methods for scientists and engineers, McGraw-Hill Book Co., New York, 1978 | MR | Zbl

[21] Konyukhova N. B., “O chislennom vydelenii stremyaschikhsya k nulyu na beskonechnosti reshenii dlya nekotorykh dvumernykh nelineinykh sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 10:1 (1970), 74–87 | Zbl

[22] Konyukhova N. B., “K resheniyu kraevykh zadach na beskonechnom intervale dlya nekotorykh nelineinykh sistem obyknovennykh differentsialnykh uravnenii s osobennostyami”, Zh. vychisl. matem. i matem. fiz., 10:5 (1970), 1150–1163

[23] Balla K., “K resheniyu singulyarnykh kraevykh zadach dlya nelineinykh sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 20:4 (1980), 909–922 | MR | Zbl

[24] Nachman A., Callegari A., “A nonlinear singular boundary value problem in the theory of pseudoplastic fluids”, SIAM J. Appl. Math., 38:2 (1980), 275–281 | DOI | MR | Zbl

[25] Lunning C. D., Perry W. L., “An interative method for solution of a boundary value problem in non-Newtonian fluid flow”, J. Non-Newtonian Fluid Mechanics, 1984, no. 15, 145–154 | DOI

[26] Lima P. M., Carpentier M. P., “Numerical solution of a singular boundary-value problem in non-Newtonian fluid mechanics”, Comput. Phys. Communs., 126:1–2 (2000), 114–120 | DOI | Zbl

[27] Lima P. M., Carpentier M. P., “Iterative methods for a singular boundary-value problem”, J. Comput. Appl. Math., 1999, no. 111, 173–186 | DOI | MR | Zbl

[28] Oleinik O. A., Samokhin V. N., Matematicheskie metody v teorii pogranichnogo sloya, Fizmatgiz, M., 1997 | MR | Zbl

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

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

[31] Wolfram S., The mathematica book, Cambridge Univ. Press, Cambridge, 1996 | MR