| Title:
|
Periodic derivative of solutions to nonlinear differential equations (English) |
| Author:
|
Andres, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
353-360 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C25 |
| MSC:
|
70F99 |
| idZBL:
|
Zbl 0727.34029 |
| idMR:
|
MR1065015 |
| DOI:
|
10.21136/CMJ.1990.102388 |
| . |
| Date available:
|
2008-06-09T15:33:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102388 |
| . |
| Reference:
|
[1] H. Poincaré: Lés méthodes nouvelles de la mécanique céleste.Gauthiers-Villars, Paris, 1892. |
| Reference:
|
[2] M. Farkas: On stability and geodesies.Ann. Univ. Sci. Budapest. Rol. Eötvös Nom. 11 (1968), 145-159. MR 0240408 |
| Reference:
|
[3] R. B. Barrar: Existence of periodic solutions of the second kind in the restricted problem of three bodies.Astronom. J. 70, 1 (1965), 3 - 4. MR 0187899, 10.1086/109672 |
| Reference:
|
[4] H. E. Edgerton, P. Fourmarier: The pulling-into-step of a salient-pole synchronous motor.Trans. A.I.E.E. 50 (1931), 769-778. 10.1109/T-AIEE.1931.5055868 |
| Reference:
|
[5] P. Meystre: Free-electron lasers: An introduction.In ,,Laser Physics (D. F. Walls and J. D. Harvey, ed.),". Academic Press, Sydney-New York-London-Toronto-San Francisco, 1980. |
| Reference:
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[6] M. Farkas: Controllably periodic perturbations of autonomous systems.Acta Math. Acad. Sci. Hungar. 22, 3-4 (19 1), 337-348. MR 0296424 |
| Reference:
|
[7] M. Farkas: Determination of controllably periodic perturbed solutions by Poincaré's method.Stud. Sci. Math. Hungar. 7 (1972), 257-266. MR 0346266 |
| Reference:
|
[8] J. Andres: Solution with periodic second derivative of a certain third order differential equation.Math. Slovaca 37, 3 (1987), 239-245. Zbl 0629.34048, MR 1127107 |
| Reference:
|
[9] R. Reissig: Phasenraum-Methoden zum Studium nichtlinearen Differentialgleichungen.Jber. Deutsch. Math. 75 (1974), 130-139. MR 0477300 |
| Reference:
|
[10] S. Fučík J. Nečas J. Souček, V. Souček: Spectral Analysis of Nonlinear Operators.LNM 346, Springer-Verlag, Berlin-Heidelberg-New York, 1973. MR 0467421 |
| Reference:
|
[11] J. Mawhin: An extension of a theorem of A. C. Lazer on forced nonlinear oscillations.J. Math. Anal. Appl. 40 (1972), 20-29. Zbl 0245.34035, MR 0313587, 10.1016/0022-247X(72)90025-X |
| Reference:
|
[12] C. H. Hardy J. E. Littlewood, G. Polya: Inequalities.Cambridge University Press, London, 1951. |
| Reference:
|
[13] J. Andres: On local $\omega$-cycles to certain third order nonlinear differential equations.Fasc. Math. 17 (1987), 49-54. Zbl 0648.34043, MR 0942319 |
| Reference:
|
[14] S. N. Chow, A. Lasota: On boundary value problems for ordinary differential equations.J. Diff. Eqns 14, 2 (1973), 326-337. Zbl 0285.34009, MR 0330598, 10.1016/0022-0396(73)90051-X |
| Reference:
|
[15] S. H. Chang: Periodic solutions of certain differential equations with quasibounded nonlinearities.J. Math. Anal. Appl. 56 (1976), 165-171. Zbl 0338.34034, MR 0419944, 10.1016/0022-247X(76)90014-7 |
| Reference:
|
[16] R. Reissig: Periodic solutions of certain higher order differential equations.Nonlinear Analysis, T.M.A. 2, 5 (1978), 635-642. Zbl 0385.34019, MR 0512159 |
| . |
