Geodesic
Estimates and asymptotic properties of solutions and their derivatives for a weakly nonlinear third order ordinary differential equation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 62-65 
S. Iskandarov. Estimates and asymptotic properties of solutions and their derivatives for a weakly nonlinear third order ordinary differential equation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 62-65. http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a10/
@article{VMUMM_2017_2_a10,
     author = {S. Iskandarov},
     title = {Estimates and asymptotic properties of solutions and their derivatives for a weakly nonlinear third order ordinary differential equation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {62--65},
     year = {2017},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a10/}
}
TY  - JOUR
AU  - S. Iskandarov
TI  - Estimates and asymptotic properties of solutions and their derivatives for a weakly nonlinear third order ordinary differential equation
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2017
SP  - 62
EP  - 65
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a10/
LA  - ru
ID  - VMUMM_2017_2_a10
ER  - 
%0 Journal Article
%A S. Iskandarov
%T Estimates and asymptotic properties of solutions and their derivatives for a weakly nonlinear third order ordinary differential equation
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2017
%P 62-65
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a10/
%G ru
%F VMUMM_2017_2_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions are established for the estimate, boundeness, power absolute integrability on the half-line, tending to zero including exponential and power laws for solutions and their first, second derivatives to a weakly nonlinear ordinary third order differential equation.

[1] Chezari L., Asimptoticheskoe povedenie i ustoichivost reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1964 | MR

[2] Kiguradze I.T., Chanturiya T.A., Asimptoticheskie svoistva reshenii neavtonomnykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1990

[3] Iskandarov S., “O metode svedeniya k sisteme dlya lineinogo volterrova integrodifferentsialnogo uravneniya vtorogo poryadka”, Issledovaniya po integrodifferentsialnym uravneniyam, 35, Ilim, Bishkek, 2006, 31–35

[4] Iskandarov S., “Metod nestandartnogo svedeniya k sisteme i eksponentsialnaya ustoichivost lineinogo obyknovennogo differentsialnogo uravneniya tretego poryadka”, Differents. uravneniya, 46:6 (2010), 898–899

[5] Ved Yu.A., Pakhyrov Z., “Dostatochnye priznaki ogranichennosti reshenii lineinykh integrodifferentsialnykh uravnenii”, Issledovaniya po integrodifferentsialnym uravneniyam v Kirgizii, 9, Ilim, Frunze, 1973, 68–103

[6] Iskandarov S., Metod vesovykh i srezyvayuschikh funktsii i asimptoticheskie svoistva reshenii integrodifferentsialnykh i integralnykh uravnenii tipa Volterry, Ilim, Bishkek, 2002

[7] Marchuk G.I., Metody rasschepleniya, Nauka, M., 1988 | MR

[8] Krasovskii N.N., Nekotorye zadachi teorii ustoichivosti dvizheniya, Fizmatgiz, M., 1959 | MR