On positive periodic solutions of a nonautonomous neutral delay n-species competitive system

Nonlinear Analysis, Theory, Methods and Applications

Volumn 68, Issue 6, 2008, Pages 1409-1420

  Liu, Zhijun ^a,b   Chen, Lansun ^a,c  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b HUBEI UNIVERSITY FOR NATIONALITIES   (China)

^c CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Competition system; Existence theorem; Neutral delay; Positive periodic solution

Indexed keywords

NONLINEAR SYSTEMS; SET THEORY; THEOREM PROVING;

NEUTRAL DELAY; POSITIVE PERIODIC SOLUTION;

BOUNDARY VALUE PROBLEMS;

EID: 38349165352     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.12.026     Document Type: Article

References (20)

1. Kuang Y. Delay Differential Equations with Applications in Population Dynamics (1993), Academic Press, New York
2. Petryshyn W., and Yu Z. Existence theorem for periodic solutions of higher order nonlinear periodic boundary value problems. Nonlinear Anal. 6 (1982) 943-969
3. Erbe L., Krawcewicz W., and Wu J. A composite coincidence degree with applications to boundary value problems of neutral equations. Trans. Amer. Math. Soc. 335 (1993) 459-478
4. Krawcewicz W., and Wu J. Theory of Degrees with Applications to Bifurcations and Differential Equations (1996), John Wiley & Sons, Inc, New York
5. Gopalsamy K., He X., and Wen L. On a periodic logistic equation. Glasg. Math. J. 33 (1991) 281-286
6. Gopalsamy K., and Zhang B.G. On a neutral delay logistic equation. Dynam. Stabil. Syst. 2 (1988) 183-195
7. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics (1992), Kluwer Academic, Boston
8. Li Y. Periodic solution of a periodic neutral delay equation. J. Math. Anal. Appl. 214 (1997) 11-21
9. Li Y. On a periodic neutral delay Lotka-Volterra system. Nonlinear Anal. 39 (2000) 767-778
10. Fang H., and Li J. On the existence of periodic solutions of a neutral delay model of single-species population growth. J. Math. Anal. Appl. 259 (2001) 8-17
11. Gaines R.E., and Mawhin J.L. Coincidence Degree and Nonlinear Differential Equations (1977), Springer-Verlag, Berlin
12. Liu Z. Positive periodic solution for a neutral delay competitive system. J. Math. Anal. Appl. 293 (2004) 181-189
13. Yang Z., and Cao J. Positive periodic solutions of neutral Lotka-Volterra system with periodic delays. Appl. Math. Comput. 149 (2004) 661-687
14. Yang Z., and Cao J. Sufficient conditions for the existence of positive periodic solutions of a class of neutral delay models. Appl. Math. Comput. 142 (2003) 123-142
15. Lu S. On the existence of positive solution for neutral function differential equation with multiple deviating arguments. J. Math. Anal. Appl 280 (2003) 321-333
16. Lu S. Existence of positive periodic solutions for neutral population model with multiple delays. Appl. Math. Comput. 153 (2004) 885-902
17. Gaines R.E., and Mawhin J.L. Lecture Notes in Mathematics vol. 586 (1977), Springer-Verlag, Berlin
18. Liu Z., and Mao Y. Existence theorem for periodic solutions of higher order nonlinear differential equations. J. Math. Anal. Appl. 216 (1997) 481-490
19. Lu S. Existence of positive periodic solutions for neutral functional differential equations with deviating arguments. Appl. Math. J. Chinese Univ. Ser. B 17 (2002) 382-390
20. Fang H. Positive periodic solutions of n-species neutral delay systems. Czechoslovak Math. J. 53 (2003) 561-570