| Title:
|
On a class of fourth order half-linear differential equations (English) |
| Author:
|
Cheng, Sui-Sun |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1980 |
| Pages:
|
84-97 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
34C10 |
| MSC:
|
34K25 |
| idZBL:
|
Zbl 0429.34030 |
| idMR:
|
MR565911 |
| DOI:
|
10.21136/CMJ.1980.101658 |
| . |
| Date available:
|
2008-06-09T14:37:43Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101658 |
| . |
| Reference:
|
[1] I. Bihari: On the second order half-linear differential equation.Studia Sci. Math. Hung., 3 (1968), 411-437. Zbl 0167.37403, MR 0267190 |
| Reference:
|
[2] I. Bihari: An oscillation theorem concerning the half-linear differential equation of the second order.Magyar Tud. Akad. Mat. Kutató Int. KözL, 8 (1963), 275 - 280. MR 0171959 |
| Reference:
|
[3] G. В. Gustafson: Oscillation criteria for $y'' + p(t) f(y, y') = 0$ with $f$ homogeneous of degree one.Canad. J. Math. 25 (1973), 323-337. Zbl 0243.34061, MR 0330621, 10.4153/CJM-1973-031-2 |
| Reference:
|
[4] A. G. Kartsatos: On oscillations of nonlinear equations of second order.J. Math. Anal. Appl. 24 (1968), 665-668. Zbl 0203.40003, MR 0237873, 10.1016/0022-247X(68)90019-X |
| Reference:
|
[5] M. S. Keener: On solutions of certain self-adjoint differential equations of fourth order.J. Math. Anal. Appl. 33 (1971), 278-305. Zbl 0214.33903, MR 0276547, 10.1016/0022-247X(71)90055-2 |
| Reference:
|
[6] K. Kreith: Rotation properties of adjoint pairs of differential systems.Proc. Roy. Soc. Edinburgh, 75A, 12 (1975/76), 149-155. MR 0447705 |
| Reference:
|
[7] K. Kreith: An oscillation theory for fourth order differential equations.Lecture Notes in Mathematics, Vol. 564, Springer-Verlag Berlin, Heidelberg 1976, 301 - 308. Zbl 0379.34025, MR 0594803, 10.1007/BFb0087346 |
| Reference:
|
[8] W. Leighton, Z. Nehari: On the oscillation of solutions of self-adjoint linear differential equations of fourth order.Trans. Amer. Math. Soc., 89 (1958), 325 - 377. MR 0102639, 10.1090/S0002-9947-1958-0102639-X |
| Reference:
|
[9] Z. Nehari: On a class of nonlinear second order differential equations.Trans. Amer. Math. Soc. 95 (1960), 101-123. Zbl 0097.29501, MR 0111898, 10.1090/S0002-9947-1960-0111898-8 |
| Reference:
|
[10] G. Sansone: Studio degh integrali del sistema $y'' + py = qz$, $z'' + pz = ry + wy'$.Ann. Mat. Рurа. App. (4), 22 (1943), 145-180. MR 0016832 |
| Reference:
|
[11] M. Švec: Sur le compontement asymptotique des intégrales de l'équation différentielle $y^{(4)} + Q(x) y = 0$.Czechoslovak Math. J. 8 (83) (1958), 230-245. MR 0101355 |
| Reference:
|
[12] W. Whyburn: On self-adjoint ordinary differential equations of the fourth order.Amer. J. Math. 52 (1930), 171-196. MR 1506751, 10.2307/2370655 |
| Reference:
|
[13] J. S. W. Wong: On second order nonlinear oscillation.Funkcialaj Ekvacioj, 11 (1969), 207-234. Zbl 0184.12202, MR 0245915 |
| Reference:
|
[14] F. V. Atkinson: On second order nonlinear oscillations.Pacific J. Math. 5 (1955), 643 - 647. MR 0072316, 10.2140/pjm.1955.5.643 |
| . |
