منابع مشابه
On the Recursive Sequence
For all values of the parameter γ, (1.1) has a unique positive equilibrium x̄ = (γ + 1)/2. When 0 < γ < 1, the positive equilibrium x̄ is locally asymptotically stable. In the case where γ = 1, the characteristic equation of the linearized equation about the positive equilibrium x̄ = 1 has three eigenvalues, one of which is −1, and the other two are 0 and 1/2. In addition, when γ = 1, (1.1) posses...
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the main objective of this paper is to study the boundedness character, the periodicity character, the convergenceand the global stability of the positive solutions of the nonlinear rational difference equation/ , n 0,1,2,....0 01 kii n ikin i n i x x b xwhere the coefficients i i b , , together with the initial conditions ,.... , , 1 0 x x x k are arbitrary...
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متن کاملOn the recursive sequence xn+1=
We give a complete picture regarding the behavior of positive solutions of the following important difference equation: xn = 1+ ∑ k i=1αixn−pi / ∑m j=1βjxn−qj , n∈N0, where αi, i∈ {1, . . . ,k}, and βj , j ∈ {1, . . . ,m}, are positive numbers such that ∑ k i=1αi = ∑m j=1βj = 1, and pi, i ∈ {1, . . . ,k}, and qj , j ∈ {1, . . . ,m}, are natural numbers such that p1 < p2 < ··· < pk and q1 < q2 <...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2010
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2010/583230