Geodesic
The Cauchy problem as a problem of the continuation of a solution with respect to a parameter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 12, pp. 1792-1805 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1993_33_12_a2,
     author = {E. B. Kuznetsov and V. I. Shalashilin},
     title = {The {Cauchy} problem as a problem of the continuation of a solution with respect to a parameter},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1792--1805},
     year = {1993},
     volume = {33},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_12_a2/}
}
TY  - JOUR
AU  - E. B. Kuznetsov
AU  - V. I. Shalashilin
TI  - The Cauchy problem as a problem of the continuation of a solution with respect to a parameter
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1993
SP  - 1792
EP  - 1805
VL  - 33
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_12_a2/
LA  - ru
ID  - ZVMMF_1993_33_12_a2
ER  - 
%0 Journal Article
%A E. B. Kuznetsov
%A V. I. Shalashilin
%T The Cauchy problem as a problem of the continuation of a solution with respect to a parameter
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1993
%P 1792-1805
%V 33
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_12_a2/
%G ru
%F ZVMMF_1993_33_12_a2
E. B. Kuznetsov; V. I. Shalashilin. The Cauchy problem as a problem of the continuation of a solution with respect to a parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 12, pp. 1792-1805. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_12_a2/

[1] Grigolyuk E. I., Shalashilin V. I., Problemy nelineinogo deformirovaniya, Nauka, M., 1988 | MR | Zbl

[2] Riks E., “Primenenie metoda Nyutona k zadache uprugoi ustoichivosti”, Prikl. mekhan., 1972, no. 4, 204–210

[3] Vorovich I. I., Zipalova V. F., “K resheniyu nelineinykh kraevykh zadach teorii uprugosti metodom perekhoda k zadache Koshi”, Prikl. matem. i mekhan., 29:5 (1965), 894–901 | MR | Zbl

[4] Shalashilin V. I., Kuznetsov E. B., “Zadacha Koshi dlya nelineino-deformiruemykh sistem kak zadacha prodolzheniya resheniya po parametru”, Dokl. RAN, 329:4 (1993), 426–428 | MR | Zbl

[5] Gear C. W., Numerical initial value problems in ordinary differential equations, Prentice-Hall, Englewood Cliffs, N. Y., 1971 | MR | Zbl

[6] Rakitskii Yu. V., Ustinov S. M., Chernorutskii N. G., Chislennye metody resheniya zhestkikh sistem, Nauka, M., 1979 | MR

[7] Lambert J. D., Computational methods in ordinary differential equations, Wiley, N. Y., 1973 | MR | Zbl

[8] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989 | MR

[9] Dahlquist G., “A special stability problem for linear multistep methods”, BIT, 1963, no. 3, 27–43 | DOI | MR | Zbl

[10] Brauer A., “Limits for the characteristic roots of matrix”, Duke Math. J., 1946, no. 13, 387–395 | DOI | MR | Zbl

[11] Gershgorin S. A., “Über die abgrenzung der eigenwerte einer matrix”, Izv. AN SSSR. Ser. fiz.-matem., 1931, 749–754

[12] Markus M., Mink Kh., Obzor po teorii matrits i matrichnykh neravenstv, Nauka, M., 1972 | MR

[13] Field J. R., Noyes R. M., “Oscillations in chemical systems. IV: Limit cycle behavior in a model of a real chemical reaction”, J. Chem. Phys., 60 (1974), 1877–1884 | DOI

[14] Khairer E., Nersett S., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii, Mir, M., 1990 | MR

[15] Hindmarsh A. C., ODEPACK. A systematized collection of ODE solvers in numerical methods for scientific computation, North-Holland, N. Y., 1983, 55–64 | MR

[16] Curtiss C. F., Hirschfelder J. O., “Integration of stiff equations”, Proc. Nat. Acad. Sci. U. S., 38 (1952), 235–243 | DOI | MR | Zbl

[17] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Nauka, M., 1987 | MR | Zbl