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Qualitative behavior of a generalized Emden-Fowler differential system
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 3, pp. 454-466
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DOI : 10.21136/CMJ.1991.102480
Classification : 34A34, 34C10, 34C11 
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Erbe, Lynn H.; Liang, Zhong Chao. Qualitative behavior of a generalized Emden-Fowler differential system. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 3, pp. 454-466. doi: 10.21136/CMJ.1991.102480

[1] Bhatia N. P.: Some oscillation theorems for second order differential equations. J. Math. Anal. Appl. 15 (1966), 442-446. | DOI | MR | Zbl

[2] Bihari I.: Research of the boundedness and stability of the solutions of nonlinear differential equations. Acta Math. Hungar. 8 (1957), 261 - 278. | DOI | MR

[3] Hatvani L.: On the asymptotic behavior of solutions of $(p(t) x')' + q(t)f(x) = 0$. Publ. Math. Debrecen 19 (1972), 225-237. | MR

[4] Kwong Man Kam, Wong J. S. W.: Oscillation of Emden-Fowler Systems. Diff. Integ. Eqs. 1(1988), 133-141. | MR | Zbl

[5] Kroopnik A.: Oscillation properties of $(m(t) х')' + a(t) b(x) = 0$. J. Math. Anal. Appl. 63 (1978), 141-144. | DOI | MR

[6] Liang Z.: Asymptotic character of the solutions of a class of second order nonlinear differential equations. Shuxue Jinzhan 9 (1966), 251 - 264. MR 38#4767. | MR

[7] Liang Z.: Asymptotically periodic solutions of a class of second order nonlinear differential equations. Proc. Amer. Math. Soc. 99 (1987), 693-699. | DOI | MR | Zbl

[8] Liang Z.: Necessary and sufficient conditions of the stability for a class of second order nonlinear oscillations. Funkcial. Ekvac. 30 (1987), 45-55. | MR | Zbl

[9] Petty C. M., Johnson W. E.: Properties of solutions of $u\sp{\prime\prime}+c(t)f(u)h(u\sp{\prime} )=0$ with explicit initial conditions. SIAM J. Math. Anal. 4 (1973), 269-282. | DOI | MR

[10] Utz W. R.: Properties of solutions of $u\sp{\prime\prime}+g(t)u\sp{2n-1}=0$. Monatsh. Math. 66 (1962), 55-60. | MR

[11] Wong J. S. W., Burton T. A.: Some properties of solutions of $u\sp{\prime\prime}(t)+a(t)f(u)g(u\sp{\prime} )=0$. (II). Monatsh. Math. 69 (1965), 368-374. | MR

[12] Wong J. S. W.: Some properties of solutions of $u\sp{\prime\prime}(t)+a(t)f(u)g(u\sp{\prime} )=0$. (III). SIAM J. Appl. Math. 14(1966), 209-214. | MR

[13] Wong J. S. W.: Boundedness theorems of solutions of $u\sp{\prime\prime}(t)+a(t)f(u)g(u\sp{\prime} )=0$. (IV). Enseign. Math. 13 (1967), 157-165. | MR

[14] Wong J. S. W.: On the generalized Emden-Fowler equations. SIAM Rev. 17 (1975), 339-360. | DOI | MR

[15] Yoshizawa T.: Stability theory by Liapunov's second method. Math. Soc. Japan, Tokyo, 1966. | MR

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