학술저널
ON THE DYNAMICAL PROPERTIES OF SOME FUNCTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 15, No. 2
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2002.0547 - 56 (10 pages)
- 0
This note is concerned with some properties of fixed points and periodic points. First, we have constructed a generalized continuous function to give a proof for the fact that, as the reverse of the Sharkovsky theorem[16], for a given positive integer n, there exists a continuous function with a period-n point but no period-m points wherem is a predecessor of n in the Sharkovsky ordering. Also we show that the composition of two transcendental meromorphic functions, one of which has at least three poles, has infinitely many fixed points.
1. Introduction
2. Preliminaries
3. Construction of
4. Fixed Points of Composite Map
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