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- 학술저널
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- 한국전산응용수학회 Journal of applied mathematics & computing Journal of applied mathematics & computing 제25권 제1호
- 발행연도
- 2007.1
- 수록면
- 201 - 216 (16page)
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In this paper we consider the difference equation $$x_{n+1}=\frac{a+bx_{n-k}\;-\;cx_{n-m}}{1+g(x_{n-l})}$$ where a, b, c are nonegative real numbers, k, l, m are nonnegative integers and g(x) is a nonegative real function. The oscillatory and periodic character, the boundedness and the stability of positive solutions of the equation is investigated. The existence and nonexistence of two-period positive solutions are investigated in details. In the last section of the paper we consider a generalization of the equation.
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