| Title:
|
Qualitative behavior of a generalized Emden-Fowler differential system (English) |
| Author:
|
Erbe, Lynn H. |
| Author:
|
Liang, Zhong Chao |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
454-466 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
34C10 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 0756.34034 |
| idMR:
|
MR1117799 |
| DOI:
|
10.21136/CMJ.1991.102480 |
| . |
| Date available:
|
2008-06-09T15:40:54Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102480 |
| . |
| Reference:
|
[1] Bhatia N. P.: Some oscillation theorems for second order differential equations.J. Math. Anal. Appl. 15 (1966), 442-446. Zbl 0144.11104, MR 0203164, 10.1016/0022-247X(66)90102-8 |
| Reference:
|
[2] Bihari I.: Research of the boundedness and stability of the solutions of nonlinear differential equations.Acta Math. Hungar. 8 (1957), 261 - 278. MR 0094516, 10.1007/BF02020315 |
| Reference:
|
[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 0326064 |
| Reference:
|
[4] Kwong Man Kam, Wong J. S. W.: Oscillation of Emden-Fowler Systems.Diff. Integ. Eqs. 1(1988), 133-141. Zbl 0715.34059, MR 0922556 |
| Reference:
|
[5] Kroopnik A.: Oscillation properties of $(m(t) х')' + a(t) b(x) = 0$.J. Math. Anal. Appl. 63 (1978), 141-144. MR 0466747, 10.1016/0022-247X(78)90110-5 |
| Reference:
|
[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 0236472 |
| Reference:
|
[7] Liang Z.: Asymptotically periodic solutions of a class of second order nonlinear differential equations.Proc. Amer. Math. Soc. 99 (1987), 693-699. Zbl 0625.34048, MR 0877042, 10.1090/S0002-9939-1987-0877042-9 |
| Reference:
|
[8] Liang Z.: Necessary and sufficient conditions of the stability for a class of second order nonlinear oscillations.Funkcial. Ekvac. 30 (1987), 45-55. Zbl 0638.34030, MR 0915260 |
| Reference:
|
[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. MR 0335947, 10.1137/0504026 |
| Reference:
|
[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 0138834 |
| Reference:
|
[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 0186885 |
| Reference:
|
[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 0203167 |
| Reference:
|
[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 0234059 |
| Reference:
|
[14] Wong J. S. W.: On the generalized Emden-Fowler equations.SIAM Rev. 17 (1975), 339-360. MR 0367368, 10.1137/1017036 |
| Reference:
|
[15] Yoshizawa T.: Stability theory by Liapunov's second method.Math. Soc. Japan, Tokyo, 1966. MR 0208086 |
| . |
