Geodesic
On the a~priori boundedness of derivatives of solutions for a~system of ordinary differential equations
Matematičeskie zametki, Tome 56 (1994) no. 3, pp. 64-73.

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A. I. Zvyagintsev. On the a~priori boundedness of derivatives of solutions for a~system of ordinary differential equations. Matematičeskie zametki, Tome 56 (1994) no. 3, pp. 64-73. http://geodesic.mathdoc.fr/item/MZM_1994_56_3_a5/

[1] Bernshtein S. N., “Ob uravneniyakh variatsionnogo ischisleniya”, UMN, 1941, no. 8, 32–74

[2] Nagumo M., “Über die Differentialgleichung $y''=f(x,y,y')$”, Proc. Phys. Math. Soc. Japan, 19 (1937), 861–866 | Zbl

[3] Hartman P., “On boundary value problems for systems of ordinary nonlinear, second order differential equations”, Trans. Amer. Math. Soc., 96:3 (1960), 493–509 | DOI | MR | Zbl

[4] Opial Z., “Sur la limitation des dérivées des solutions bornées d'un systéme d'équations différentielles du second ordre”, Ann. Polon. Math., 10:1 (1961), 73–79 | MR | Zbl

[5] Lepin A. Ya., Myshkis A. D., “Ob usloviyakh ogranichennosti proizvodnykh ogranichennykh reshenii obyknovennykh differentsialnykh uravnenii”, Differents. uravneniya, 1:9 (1965), 1260–1263 | MR | Zbl

[6] Klokov Yu. A., “Apriornye otsenki reshenii obyknovennykh differentsialnykh uravnenii”, Differents. uravneniya, 15:10 (1979), 1766–1773 | MR | Zbl

[7] Kiguradze I. T., Nekotorye singulyarnye kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii, Izd-vo TGU, Tbilisi, 1975

[8] Jackson L. K., “A Nagumo condition for ordinary differential equations”, Proc. Amer. Math. Soc., 57:1 (1976), 93–96 | DOI | MR | Zbl

[9] Klokov Yu. A., “Ob apriornykh otsenkakh reshenii obyknovennykh differentsialnykh uravnenii”, Differents. uravneniya, 23:4 (1987), 611–618 | MR | Zbl

[10] Kiguradze I. T., “Ob odnoi kraevoi zadache s usloviyami na beskonechnosti”, Differentsialnye uravneniya v chastnykh proizvodnykh i ikh prilozheniya, Trudy Vsesoyuznogo simpoziuma (Tbilisi, 21–23 aprelya 1982 g.), Tbilisi, 1986, 91–105 | MR

[11] Gegeliya G. T., “O kraevykh zadachakh tipa periodicheskoi dlya obyknovennykh differentsialnykh uravnenii”, Trudy IPM im. N. I. Vekua, 17, Tbilisi, 1986, 60–93 | MR

[12] Lepin A. Ya., “Apriornaya ogranichennost proizvodnykh dlya sistemy differentsialnykh neravenstv”, Differents. uravneniya, 25:7 (1989), 1129–1135 | MR | Zbl

[13] Burenkov V. I., “O tochnykh postoyannykh v neravenstvakh dlya norm promezhutochnykh proizvodnykh na konechnom intervale, II”, Tr. MIAN, 173, Nauka, M., 1986, 38–49 | MR | Zbl

[14] Burenkov V. I., “O tochnykh postoyannykh v neravenstvakh dlya norm promezhutochnykh proizvodnykh na konechnom intervale”, Tr. MIAN, 156, Nauka, M., 1980, 22–29 | MR | Zbl

[15] Zvyagintsev A. I., “O polinomakh, naimenee uklonyayuschikhsya ot nulya”, Latv. matem. ezhegodnik, 31 (1988), 216–221 | MR | Zbl