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Oscillations in a nonautonomous delay logistic difference equation

Published online by Cambridge University Press:  20 January 2009

Ch. G. Philos
Ch. G. Philos
Affiliation:
Department of MathematicsUniversity of IoanninaP.O. Box 118645110 Ioannina, Greece
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Consider the nonautonomous delay logistic difference equation

where (pn)n≧0 is a sequence of nonnegative numbers, (ln)n≧0 is a sequence of positive integers with limn→∞(n−ln) = ∞ and K is a positive constant. Only solutions which are positive for n≧0 are considered. We established a sharp condition under which all solutions of (E0) are oscillatory about the equilibrium point K. Also we obtained sufficient conditions for the existence of a solution of (E0) which is nonoscillatory about K.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 1 , February 1992 , pp. 121 - 131
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

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