| Title:
|
Asymptotic properties of solutions of a certain third-order differential equation with an oscillatory restoring term (English) |
| Title:
|
Asymptotické vlastnosti řešení jisté diferenciální rovnice třetího řádu s oscilatorickým obnovujícím členem (Czech) |
| Author:
|
Andres, Ján |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
201-210 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34E05 |
| idZBL:
|
Zbl 0701.34070 |
| idMR:
|
MR1039890 |
| . |
| Date available:
|
2009-01-29T15:33:57Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120193 |
| . |
| Reference:
|
[1] Swick K. E.: Asymptotic behavior of the solutions of certain third order differential equations.SIAM J. Appl. Math. 19, 1, 1970, 96-102. Zbl 0212.11403, MR 0267212 |
| Reference:
|
[2] Yoshizawa T.: Stability theory by Liapunov's second method.Math. Soc. Japan, Tokyo 1966. MR 0208086 |
| Reference:
|
[3] Andres J.: On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order.Čas.pěst.mat. 3, 1986, 225-229. MR 0853786 |
| Reference:
|
[4] Voráček J.: Über eine nichtlineare Differentialgleichung dritter Ordnung.Czech. Math. J. 20, 95, 1970, 207-219. MR 0259237 |
| Reference:
|
[5] Coppel W. A.: Stability and asymptotic behavior of differential equations.D.C. Heath, Boston 1965. Zbl 0154.09301, MR 0190463 |
| Reference:
|
[б] Barbalat I.: Systèmes ďéquations différencielles ďoscillations non linéaires.Rev. Math. Pures Appl. 4, 2, 1959, 267-270. MR 0111896 |
| Reference:
|
[7] Andres O.: Boundedness of solutions of the third order differential equation with the oscillatory restoring and forcing terms.Czech. Math. J., 36, 1, 1986, 1-6. MR 0822859 |
| Reference:
|
[8] Bakaev, Yu. N.: Synchronization properties of the automatic control phase system of the third order.(in Russian). Radiotekh. Elektron. 10, 6, 1965, 1083-1087. |
| Reference:
|
[9] Andres O., Štrunc M.: Lagrange-like stability of local cycles to a certain forced phase-locked loop described by the third-order differential equation.To appear in Rev. Roum. Sci.Techn. 32, 2, 1987, 219-223. |
| . |
