Periodic solutions of complex-valued differential equations and systems with periodic coefficients

Journal of Differential Equations

Volumn 126, Issue 2, 1996, Pages 355-373

  Manásevich, Raul ^a   Mawhin, Jean ^b   Zanolin, Fabio ^c  

^a UNIVERSITY OF CHILE   (Chile)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^c UNIVERSITY OF UDINE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030577959     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0054     Document Type: Article

References (14)

1. 1. F. BÉTHUEL, H. BRÉZIS, AND F. HÉLEIN, "Ginzburg-Landau Vortices," Birkhäuser, Boston, 1994.
2. 2. J. CAMPOS AND R. ORTEGA, Nonexistence of periodic solutions of a complex Riccati equation, J. Differential Integral Equations 9 (1996), 247-250.
3. 3. P. G. DRAZIN, "Nonlinear Systems," Cambridge Univ. Press, UK, Cambridge, 1992.
4. 4. H. S. HASSAN, On the set of periodic solutions of differential equations of Riccati type, Proc. Edinburgh Math. Soc. 27 (1984), 195-208.
5. 5. N. G. LLOYD, On a class of differential equations of Riccati type, J. London Math. Soc. (2) 10 (1975), 1-10.
6. 6. R. MANÁSEVICH, J. MAWHIN, AND F. ZANOLIN, Hölder inequality and periodic solutions of some planar polynomial differential equations with periodic coefficients, in "Inequalities and Applications," WSSIAA, Vol. 3, pp. 459-466, World Scientific, Singapore, 1994.
7. 7. J. MAWHIN, "Topological Degree Methods in Nonlinear Boundary Value Problems," CBMS Regional Conf. in Math., Vol. 40, Amer. Math. Soc., Providence, RI, 1979.
8. 8. J. MAWHIN, First order ordinary differential equations with several periodic solutions, J. Appl. Math. Phys. (ZAMP) 38 (1987), 257-265.
9. 9. J. MAWHIN, Periodic solutions of some planar non-autonomous polynomial differential equations, Differential Integral Equations 7 (1994), 1055-1061.
10. 10. N. ROUCHE AND J. MAWHIN, "Ordinary Differential Equations. Stability and Periodic Solutions," Pitman, Boston, 1980.
11. 11. R. SRZEDNICKI, Periodic and bounded solutions in blocks for time-periodic non-autonomous ordinary differential equations, J. Nonlinear Anal., TMA 22 (1994), 707-737.
12. 12. R. SRZEDNICKI, On periodic solutions of planar polynomial differential equations with periodic coefficients, J. Differential Equations 114 (1994), 77-100.
13. 13. R. SRZEDNICKI, "A Geometric Method for the Periodic Problem in Ordinary Differential Equations," Séminaire d'analyse moderne No. 22, Université de Sherbrooke, 1992.
14. 14. E. ZEIDLER, "Nonlinear Functional Analysis," Vol. I, Springer, New York, 1986.