Resonance and non-resonance in a problem of boundedness

Proceedings of the American Mathematical Society

Volumn 124, Issue 7, 1996, Pages 2089-2096

  Ortega, Rafael ^a   Tineo, Antonio ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b FACULTAD DE CIENCIAS   (Venezuela)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344472543     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03457-0     Document Type: Article

References (10)

1. S. Ahmad, A nonstandard resonance problem for ordinary differential equations, Trans. Am. Math. Soc, 323 (1991), 857-875. MR 91e:34046
2. W. A. Coppel, Dichotomies in Stability Theory, Lectures Notes in Math 629, Springer-Verlag, Berlin 1978. MR 58:1332
3. M. A. Krasnoselskii, P. P. Zabreiko, Geometrical Methods of Nonlinear Analysis, Springer-Verlag, Berlin 1984. MR 85b:47057
4. R. Ortega, A boundedness result of Landesman - Lazer type, Differential and Integral Equations, 8 (1995), 729-734. CMP 95:05
5. G. Reuter, Boundedness theorems for nonlinear differential equations of the second order (II), J. London Math. Soc., 27 (1952), 48-58. MR 13:844b
6. N. Rouche, J. Mawhin, Equations Differentielles Ordinaires, Masson, Paris 1973. MR 58:1318b
7. A. Tineo, An iterative scheme for the N-competing species problem, J. Diff. Eq. 116 (1995), 1-15.
8. J. R. Ward, Asymptotic conditions for periodic solutions of ordinary differential equations, Proc Amer Math Soc, 81 (1981), 415-420. MR 82a:34057
9. J. R. Ward, A topological method for bounded solutions of nonautonomous ordinary differential equations, Trans. Am. Math. Soc.,333 (1992), 709-720. MR 93b:34046
10. T. Yoshizaiva, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions; Springer-Verlag, New York 1975. MR 57:6673