Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TRSPY_2008_261_a2, author = {I. V. Astashova}, title = {Uniform {Estimates} for {Positive} {Solutions} of {Higher} {Order} {Quasilinear} {Differential} {Equations}}, journal = {Informatics and Automation}, pages = {26--36}, publisher = {mathdoc}, volume = {261}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_261_a2/} }
I. V. Astashova. Uniform Estimates for Positive Solutions of Higher Order Quasilinear Differential Equations. Informatics and Automation, Differential equations and dynamical systems, Tome 261 (2008), pp. 26-36. http://geodesic.mathdoc.fr/item/TRSPY_2008_261_a2/
[1] Kiguradze I. T., Chanturiya T. A., Asimptoticheskie svoistva reshenii neavtonomnykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1990, 432 pp. | Zbl
[2] Astashova I. V., “Primenenie dinamicheskikh sistem k issledovaniyu asimptoticheskikh svoistv reshenii nelineinykh differentsialnykh uravnenii vysokikh poryadkov”, Sovremennaya matematika i ee prilozheniya, 8 (2003), 3–33 | MR
[3] Chanturiya T. A., “O suschestvovanii singulyarnykh i neogranichennykh koleblyuschikhsya reshenii differentsialnykh uravnenii tipa Emdena–Faulera”, Dif. uravneniya, 28:6 (1992), 1009–1022 | MR | Zbl
[4] Kozlov V. A., “On Kneser solutions of higher order nonlinear ordinary differential equations”, Ark. Mat., 37:2 (1999), 305–322 | DOI | MR | Zbl
[5] Kondratev V. A., “O kachestvennykh svoistvakh reshenii polulineinykh ellipticheskikh uravnenii”, Tr. sem. im. I. G. Petrovskogo, 16 (1992), 186–190
[6] Kvinikadze G. G., Kiguradze I. T., “O bystro rastuschikh resheniyakh nelineinykh obyknovennykh differentsialnykh uravnenii”, Soobsch. AN GSSR, 106:3 (1982), 465–468 | MR | Zbl
[7] Astashova I. V., “O kachestvennykh svoistvakh reshenii uravnenii tipa Emdena–Faulera”, UMN, 51:5 (1996), 185
[8] Astashova I. V., “Estimates of solutions to one-dimensional Schrödinger equation”, Progress in analysis, Proc. 3rd Intern. ISAAC Congr. Vol. 2, World Sci., River Edge, NJ, 2003, 955–960 | MR
[9] Pólya G., “On the mean-value theorem corresponding to a given linear homogeneous differential equation”, Trans. Amer. Math. Soc., 24 (1924), 312–324 | DOI | MR | Zbl
[10] de La Vallée Poussin C., “Sur l'équation différentielle linéaire du second ordre. Détermination d'une intégrale par deux valeurs assignées. Extension aux équations d'ordre $n$”, J. math. pures et appl., 8 (1929), 125–144 | Zbl
[11] Levin A. Yu., “Neostsillyatsiya reshenii uravneniya $x^{(n)}+p_1(t)x^{(n-1)}+\dots+p_n(t)x=0$”, UMN, 24:2 (1969), 43–96 | MR | Zbl
[12] Astashova I. V., “O ravnomernykh otsenkakh polozhitelnykh reshenii kvazilineinykh differentsialnykh uravnenii”, Dif. uravneniya, 41:11 (2005), 1579–1580 | MR
[13] Astashova I. V., “Ravnomernye otsenki polozhitelnykh reshenii kvazilineinykh differentsialnykh uravnenii chetnogo poryadka”, Tr. sem. im. I. G. Petrovskogo, 25 (2005), 21–34
[14] Mitidieri E., Pokhozhaev S. I., Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh, Tr. MIAN, 234, Nauka, M., 2001 | MR | Zbl
[15] Khei Dzh., “O neobkhodimykh usloviyakh suschestvovaniya globalnykh reshenii nelineinykh obyknovennykh differentsialnykh neravenstv vysokogo poryadka”, Dif. uravneniya, 38:3 (2002), 344–350 | MR
[16] Konkov A. A., “O resheniyakh neavtonomnykh obyknovennykh differentsialnykh uravnenii”, Izv. RAN. Ser. mat., 65:2 (2001), 81–126 | MR | Zbl
[17] Astashova I. V., “Ravnomernye otsenki polozhitelnykh reshenii kvazilineinykh differentsialnykh uravnenii”, DAN, 409:5 (2006), 586–590 | MR | Zbl