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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
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Category: math
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MSC: 34C25
idZBL: Zbl 0795.34030
idMR: MR1273167
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Date available: 2009-01-29T15:39:30Z
Last updated: 2012-05-03
Stable URL: http://hdl.handle.net/10338.dmlcz/120296
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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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