On a periodic neutral delay Lotka-Volterra system

Nonlinear Analysis, Theory, Methods and Applications

Volumn 39, Issue 6, 1999, Pages 767-778

  Li, Yongkun ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

Neutral delay Lotka Volterra system; Positive periodic solution; Topological degree

Indexed keywords

EID: 0000512992     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00235-1     Document Type: Article

References (12)

1. R.E. Gaines, J.L. Mawhin, Coincidence Degree, and Non-linear Differential Equations, Springer, Berlin, 1977.
2. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic Publishers, Boston, 1992.
3. K. Gopalsamy, X. He, L. Wen, On a periodic neutral logistic equation, Glasgow Math. J. 33 (1991) 281-286.
4. K. Gopalsamy, B.G. Zhang, On a neutral delay-logistic equation, Dyn. Stability Systems 2 (1988) 183-195.
5. I. Gyori, J. Wu, A neutral equation arising from compartmental systems with pipes, J. Dyn. Diff. Eqns. 3 (1991) 289-311.
6. J.K. Hale, J.L. Mawhin, Coincidence degree and periodic solutions of neutral equations, J. Diff. Eqns. 15 (1974) 295-307.
7. Y. Kuang, On neutral delay two species Lotka-Volterra competitive system, J. Austr. Math. Soc. Ser. B 32 (1991) 311-326.
8. Y. Kuang, Delay Differential Equations with Applications in Population Dynamics, Academic Press, Boston, 1993.
9. Y. Kuang, A. Feldstein, Boundedness of solutions of a nonlinear nonautonomous neutral delay equation, J. Math. Anal. App. 156 (1991) 293-304.
10. J.L. Mawhin, Periodic solutions of some vector retarded functional differential equation, J. Math. Anal. Appl. 45 (1974) 588-603.
11. J.L. Mawhin, Topological degree methods in nonlinear boundary value problems, CBMS Regional Conf. Ser. in Math., No. 40, Amer. Math. Soc. Providence, RI, 1979.
12. J.R. Ward, Asymptotic conditions for periodic solutions of ordinary differential equations, Proc. Amer. Math. Soc. 81 (1981) 415-420.