Dynamical Properties for a Class of Fourth-Order Nonlinear Difference Equations
نویسندگان
چکیده
منابع مشابه
Dynamical Properties for a Class of Fourth-Order Nonlinear Difference Equations
We consider the dynamical properties for a kind of fourth-order rational difference equations. The key is for us to find that the successive lengths of positive and negative semicycles for nontrivial solutions of this equation periodically occur with same prime period 5. Although the period is same, the order for the successive lengths of positive and negative semicycles is completely different...
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We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+and F−-solutions. Relations between these types of solutions and their nonoscillatory behavior are obtained. Necessary and sufficient conditions are obtained for the difference equation to admit the...
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The rule of trajectory structure for fourth-order nonlinear difference equation xn 1 x a n−2 xn−3 / x a n−2xn−3 1 , n 0, 1, 2, . . . , where a ∈ 0, 1 and the initial values x−3, x−2, x−1, x0 ∈ 0,∞ , is described clearly out in this paper. Mainly, the lengths of positive and negative semicycles of its nontrivial solutions are found to occur periodically with prime period 15. The rule is 4 , 3−, ...
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In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
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In this paper, the global behavior for a class of nonlinear difference equation is considered, mainly for the global asymptotical stability of zero equilibrium with attractive basin, the existence of unbounded solutions, the existence of period two solutions, and the existence of oscillatory solutions, etc. Our results extend and generalize the known ones.
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2008
ISSN: 1687-1847
DOI: 10.1155/2008/678402