Existence of positive periodic solutions for a class of difference equations with several deviating arguments

Computers and Mathematics with Applications

Volumn 45, Issue 6-9, 2003, Pages 1303-1309

  Jiang, Daqing ^a   Agarwal, R P ^b  

^a NORTHEAST NORMAL UNIVERSITY   (China)

^b Florida Institute of Technology ^*  (United States)

Author keywords

Difference equation; Existence; Logistic equation; Positive periodic solution

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL METHODS; SET THEORY; THEOREM PROVING;

LOGISTIC EQUATION; MAWHIN CONTINUATION THEOREM; POSITIVE PERIODIC SOLUTIONS;

DIFFERENCE EQUATIONS;

EID: 0037732722     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)00103-2     Document Type: Article

References (11)

1. D.Q. Jiang, and J.J. Wei, Existence of positive periodic solution for nonautonomous delay differential equations, (in Chinese), Chin. Ann. of Math. (Series A) 20A, 716-720, (1999).
2. Y.K. Li, Existence and global attractivity of positive periodic solution for a class of delay differential equations, (in Chinese), Science in China (Series A) 28, 108-118, (1998).
3. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic Boston, (1992).
4. E. C. Pielou, Mathematics Ecology, Wiley-Interscience, New York, (1977).
5. S. Lenhart and C. Travis, Global stability of a biological model with time delay, Proc. Amer. Math. Soc. 96, 75-78, (1986).
6. W. G. Kelley and A. C. Peterson, Difference Equations: An Introduction with Applications, Academic Press, New York, (1991).
7. R. Y. Zhang, Z. C. Wang, Y. Cheng and J. Wu, Periodic solutions of a single species discrete population model with periodic harvest/stock, Computers Math. Applic. 39 (1/2), 77-90, (2000).
8. K. Gopalsamy and B. S. Lalli, Oscillatory and asymptotic behavior of a multiplicative delay logistic equation, Dynamics and Stability of System, 7, 35-42, (1992).
9. J. Mallet-Paret and R. Nussbaum, Global continuation and asymptotic behavior for periodic solutions of a differential-delay equation, Ann. di. Math. Pured. Appl. 145, 33-128, (1986).
10. Y. Kuang, Global stability for a class of nonlinear nonautonomous delay logistic equations Nonlinear Analysis 17, 627-634, (1991).
11. R. E. Gaines and J. L. Mawhin, Coincidence Degree and Nonlinear Differential Equations, Springer-Verlag, Berlin, (1977).