| Title:
|
On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations (English) |
| Author:
|
Palumbíny, Oleg |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
123 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
49-65 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with existence of Kneser solutions of $n$-th order nonlinear differential equations with quasi-derivatives. (English) |
| Keyword:
|
nonlinear differential equations |
| Keyword:
|
quasi-derivatives |
| Keyword:
|
monotone solutions |
| Keyword:
|
Kneser solutions |
| MSC:
|
34A34 |
| MSC:
|
34C10 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 0903.34010 |
| idMR:
|
MR1618715 |
| DOI:
|
10.21136/MB.1998.126297 |
| . |
| Date available:
|
2009-09-24T21:29:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126297 |
| . |
| Reference:
|
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| 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. Amer. Math. Soc. 89 (1958), 325-377. MR 0102639, 10.1090/S0002-9947-1958-0102639-X |
| Reference:
|
[4] Palumbíny O.: On existence of monotone solutions of a certain class of n-th order nonlinear differential equations.To appear. MR 1635224 |
| Reference:
|
[5] Philos, Ch. G.: Oscillation and asymptotic behaviour of third order linear differential equations.Bull. Inst. Math. Acad. Sinica 11(2) (1983), 141-160. MR 0723022 |
| Reference:
|
[6] Regenda J.: Osciliatory 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:
|
[7] 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:
|
[8] Rovder J.: Kneser problem for third order nonlinear differential equation.Zborník vedeckých prác MtF STU Trnava (1993). |
| Reference:
|
[9] 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, 10.2140/pjm.1970.34.289 |
| Reference:
|
[10] Škerlík A.: Criteria of property A for third order superlinear differential equations.Math. Slovaca 43 (1993), 171-183. MR 1274600 |
| Reference:
|
[11] Švec M.: On various properties of the solutions of third and fourth order linear differential equations.Proceedings of the conference held in Prague in September 1962. pp. 187-198. MR 0174825 |
| Reference:
|
[12] 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:
|
[13] 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 |
| . |
