논문KCI 등재
On the Solution of Fourth-Order Rational Recursive Sequence
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초록
In this paper we study the behavior of the solutions of the di¤erence equa-tion xn+1 = axn + bxnxn-3/cxn-2 + dxn-3, n = 0, 1, ... where the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real num-bers and a, b, c, d are positive constants: Also, we give the solution of some special cases of this equation.
Abstract
In this paper we study the behavior of the solutions of the di¤erence equa-tion xn+1 = axn + bxnxn-3/cxn-2 + dxn-3, n = 0, 1, ... where the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real num-bers and a, b, c, d are positive constants: Also, we give the solution of some special cases of this equation.
참고문헌 (30)
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관련 논문AI추천
Behavior of Solutions of a Fourth Order Difference EquationRaafat Abo-Zeid경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호The Dynamics and Global Attractivity of a Rational Difference EquationAbdul Khaliq, E. M. Elsayed장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호Dynamics of Recursive Sequence of Order TwoElsayed Mohammed Elsayed경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제4호Periodicity and stability of solutions of higher order rational difference equationE. M. Elsayed, R. P. Agarwal장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호The expressions of solutions and periodicity for some nonlinear systems of rational di¤erence equationsE. M. Elsayed장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호RATIONAL DIFFERENCE EQUATIONS WITH POSITIVE EQUILIBRIUM POINTArtūras Dubickas대한수학회 · 대한수학회보2010 · 제47권 제3호
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