Title:
|
Periodic solutions of some second order differential systems (English) |
Author:
|
Dłotko, Tadeusz |
Language:
|
English |
Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
ISSN:
|
0231-9721 |
Volume:
|
32 |
Issue:
|
1 |
Year:
|
1993 |
Pages:
|
35-41 |
. |
Category:
|
math |
. |
MSC:
|
34C25 |
idZBL:
|
Zbl 0795.34030 |
idMR:
|
MR1273167 |
. |
Date available:
|
2009-01-29T15:39:30Z |
Last updated:
|
2012-05-03 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120296 |
. |
Reference:
|
[1] Dłotko T.: On periodic boundary value problem for a differential equation of n-th order.Annales Math. Silesianae, Vol.5, 1991, 43-50. MR 1153504 |
Reference:
|
[2] Dłotko T.: Periodic boundary value problem for a matrix differential equation.J. Bolyai Math. Soc., Colloquium on differential equations and applications, Budapest, 1991, in press. Zbl 0810.34018 |
Reference:
|
[3] Gaines R. E., Mawhin J. L.: Coincidence degree and nonlinear differential equations.Springer Verlag, 1977, p. 262. Zbl 0339.47031, MR 0637067 |
Reference:
|
[4] Krasnosielskij M. A.: Topological methods in the theory of nonlinear integral equations.Moscow, 1956, (in Russian). |
Reference:
|
[5] Lusternik L. A., Sobolew W. I.: Elements of functional analysis.PWN Warsaw, 1959, (in Polish). |
Reference:
|
[6] Omari P., Zanolin F.: On the existence of periodic solutions of second order forced differential equations.Nonlinear Anal., Methods and Appl., Vol. 11, nr.2, 1987, 275-284. MR 0877887 |
Reference:
|
[7] Mawhin J. L.: Topological degree methods in nonlinear boundary value problems.CBMS Conf. in Math., 40, American Math. Soc, Providence, RI, 1979. Zbl 0414.34025, MR 0525202 |
Reference:
|
[8] Mawhin J. L.: Boundary value problems at resonance for vector second order non-linear ord. diff. equations.Proc. Equadiff. IV, Prague 1977, LNM 703, 241-249, Springer Verlag, 1979. MR 0535345 |
Reference:
|
[9] Reissig R., Sansone G., Conti R.: Qualitative Theorie Nichtlinearer Differentialgleichungen.Cremonese, Roma, 1963. MR 0158121 |
Reference:
|
[10] Rachůnková I.: Periodic Boundary value problems for second order differential equations.Acta UPO, Fac. Rer. Nat., Math. XXIX, Vol. 97(1990), 83-91. Zbl 0752.34021, MR 1144833 |
Reference:
|
[11] Vasiljev N. I., Klokov J. A.: Foundations of the theory of boundary value problems in ord. diff. equat..Zinatne, Riga, 1978 (in Russian). |
Reference:
|
[12] Villari G.: On the qualitative behaviour of solutions of Lienard equation.J. Diff. Equat., Vol. 67, nr. 2, 1987, 269-277. Zbl 0613.34031, MR 0879697 |
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