Canonical solutions and almost periodicity in a discrete logistic equation

Applied Mathematics and Computation

Volumn 113, Issue 2, 2000, Pages 305-323

  Gopalsamy, K ^a   Mohamad, S ^a  

^a FLINDERS UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; DISCRETE TIME CONTROL SYSTEMS;

CANONICAL THEORY;

FORMAL LOGIC;

EID: 0034225367     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00093-4     Document Type: Article

References (18)

1. Boyce M.S., Daley D.J. Population tracking of fluctuating environments and natural selection for tracking ability. Amer. Natural. 115:1980;480-491.
2. Clark M.E., Gross L.J. Periodic solutions to nonautonomous difference equations. Math. Biosci. 102:1990;105-119.
3. Coleman B.D. Nonautonomous logistic equations as models of the adjustment of populations to environmental change. Math. Biosci. 45:1979;159-173.
4. Coleman B.D., Hsieh Y.H., Knowles G.P. On the optimal choice of. r for a population in a periodic environment Math. Biosci. 46:1979;71-85.
5. Corduneanu C. Almost periodic discrete processes. Libertas Math. 2:1982;159-169.
6. C. Corduneanu, Almost Periodic Functions, Interscience Tracts in Pure and Applied Mathematics, vol. 22, Interscience, New York, 1968.
7. A.M. Fink, Almost Periodic Differential Equations, Lecture Notes in Mathematics, vol. 377, Springer Verlag, Berlin, 1974.
8. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Mathematics and its Applications, vol. 74, Kluwer Academic, Dordrecht, 1992.
9. Gopalsamy K., He X.Z. Dynamics of an almost periodic logistic integrodifferential equation. Meth. Appl. Anal. 2:1995;38-66.
10. Gopalsamy K., Kulenovic M.R.S., Ladas G. On a logistic equation with piecewise constants arguments. Diff. and Int. Eqns. 4:1990;215-223.
11. Halanay A. Solutions périodiques et presque-périodiques des systèmes d'équations aux différences finies. Arch. Rat. Mech. Anal. 12:1963;134-149.
12. Hallam T.G., Clark C.E. Nonautonomous logistic equations as models of populations in a deteriorating environment. J. Theoret. Biol. 93:1981;301-311.
13. Hamaya Y., Yoshizawa T. Almost periodic solutions in an integrodifferential equation. Proc. Roy. Soc. Edinb. 114A:1990;151-159.
14. He X.Z., Zhang B.G., Gopalsamy K. Single species dynamics in changing environments. Dynam. Stability Systems. 9:1994;293-303.
15. M.H. Moadab, Discrete dynamical systems and applications, PhD Thesis. University of Texas, Arlington, 1988.
16. A.M. Samoilenko, N.A. Perestyuk, Impulsive Differential Equations, World Scientific Series on Nonlinear Science, World Scientific, Singapore, 1995.
17. G. Seifert, Almost periodic solutions for single species population equations with infinite delays, in: Differential Equations and Applications in Ecology, Epidemics, and Population Problems (Claremont, Calif., 1981), Academic Press, New York, 1981, pp. 203-214.
18. T. Yoshizawa, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Applied Mathematical Sciences, vol. 14, Springer, New York, 1975.