| Title:
|
On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations (English) |
| Author:
|
Palumbíny, Oleg |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
5 |
| Year:
|
1997 |
| Pages:
|
527-537 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34C12 |
| idZBL:
|
Zbl 0942.34031 |
| idMR:
|
MR1635224 |
| . |
| Date available:
|
2009-09-25T11:26:15Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136712 |
| . |
| Reference:
|
[1] BARRETT J. H.: Two-point boundary problems for linear self-adjoint differential equations of the fourth-order with middle term.Duke Math. J. 29 (1962), 543-554. Zbl 0108.08204, MR 0148981 |
| Reference:
|
[2] HARTMAN P.: Ordinary Differential Equations.John Wiley & Sons, New York, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[3] LEIGHTON W., NEHARI Z.: On the oscillation of solutions of self-adjoint linear differential equations of the fourth order.Trans. Ameг. Math. Soc. 89 (1958), 325-377. MR 0102639 |
| Reference:
|
[4] PHILOS, CH. G.: Oscillation and asymptotic behaviour of third order linear differential equations.Bull. Inst. Math. Acad. Sinica 11 (1983), 141-160. MR 0723022 |
| Reference:
|
[5] REGENDA J.: Oscillatory and nonoscillatory properties of solutions of the differential equation $y^{(4)} + P(t)y'' + Q(t)y = 0$.Math. Slovaca 28 (1978), 329-342. MR 0534812 |
| Reference:
|
[6] ROVDER J.: Comparison theorems for third-order linear differential equations.Bull. Inst. Math. Acad. Sinica 19 (1991), 43-52. Zbl 0726.34029, MR 1144391 |
| Reference:
|
[7] ROVDEROVA E.: Existence of a monotone solution of a nonlinear differential equation.J. Math. Anal. Appl. 192 (1995), 1-15. MR 1329409 |
| Reference:
|
[8] SHAIR A.: On the oscillation of solutions of a class of linear fourth order differential equations.Pacific J. Math. 34 (1970), 289-299. MR 0268455 |
| Reference:
|
[9] ŠKERLÍK A.: Criteria of property A for third order superlinear differential equations.Math. Slovaca 43 (1993), 171-183. Zbl 0776.34028, MR 1274600 |
| Reference:
|
[10] ŠVEC M.: On various properties of the solutions of third and fourth order linear differential equations.In: Proceedings of the conference held in Prague in September 1962, pp. 187-198. MR 0174825 |
| Reference:
|
[11] ŠVEC M.: Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung,/.Czechoslovak Math. J. 4(79) (1954), 75-94. MR 0065745 |
| Reference:
|
[12] TÓTHOVÁ M.-PALUMBÍNY O.: On monotone solutions of the fourth order ordinary differential equations.Czechoslovak Math. J. 45(120) (1995), 737-746. Zbl 0849.34023, MR 1354930 |
| . |
