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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제3호
- 발행연도
- 2017.1
- 수록면
- 217 - 230 (14page)
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In this paper we deal with the difference equation $$y_{n+1}=\frac{ay_{n-1}}{by_ny_{n-1}+cy_{n-1}y_{n-2}+d}$$, $$n{\in}\mathbb{N}_0$$, where the coefficients a, b, c, d are positive real numbers and the initial conditions $y_{-2}$, $y_{-1}$, $y_0$ are nonnegative real numbers. Here, we investigate global asymptotic stability, periodicity, boundedness and oscillation of positive solutions of the above equation.
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참고문헌 (38)
참고문헌 신청
R. Abu-Saris / 2008 / On the asymptotic stability of xn+1 =a+xnxn k xn+xn k / Computers & Mathematics with Applications 56:1172~1175
A. Andruch-Sobilo / 2009 / On the rational recursive sequence xn+1 =axn 1b+cxnxn 1 / Tatra Mountain Mathematical Publications 43:1~9
I. Bajo / 2011 / Global behaviour of a second-order nonlinear difference equation / J. Differ. Equations Appl 17:1471~1486
E. Camouzis / 2008 / Dynamics of Third-order Rational Difference Equations with Open Problems and Conjectures, Volume 5 of Advances in Discrete Mathematics and Applications / Chapman & Hall/CRC
C. Cinar / 2004 / On the positive solutions of the difference equation xn+1 =xn 11+xnxn 1 / Applied Mathematics and Computation 150:21~24
A. Andruch-Sobilo / 2009 / On the rational recursive sequence xn+1 =axn 1b+cxnxn 1 / Tatra Mountain Mathematical Publications 43:1~9
I. Bajo / 2011 / Global behaviour of a second-order nonlinear difference equation / J. Differ. Equations Appl 17:1471~1486
E. Camouzis / 2008 / Dynamics of Third-order Rational Difference Equations with Open Problems and Conjectures, Volume 5 of Advances in Discrete Mathematics and Applications / Chapman & Hall/CRC
C. Cinar / 2004 / On the positive solutions of the difference equation xn+1 =xn 11+xnxn 1 / Applied Mathematics and Computation 150:21~24
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