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讨论一阶模糊差分方程xn+1=Axn+B(n=0,1,…)正解的存在性、有界性及正解的渐近表现.其中(xn)是正模糊数数列, A,B,x0是正模糊数. 相似文献
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We study the behavior of all positive solutions of the difference equation in the title, where p is a positive real parameter and the initial conditions x−2,x−1,x0 are positive real numbers. For all the values of the positive parameter p there exists a unique positive equilibrium x? which satisfies the equation
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In this paper, we apply a new procedure initially developed in Refs. [H. El-Owaidy and H.Y. Mohamed. "On the periodic solutions for nth order difference equations". Journal of Applied Mathematics and Computation , (to appear); "The necessary and sufficient conditions of existence of periodic solutions of nonautonomous difference equations". Journal of Applied Mathematics and Computation , (to appear)] to simplify the use of Carvalho's method to the case of discrete difference equations, in order to find the periodic solutions of second order linear difference equations. We can also find the complex periodic solutions. 相似文献
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本文主要讨论一类三阶有理差分方程x_(n 1)=α βx_n/A Bx_n Cx_(n-1) Dx_(n-2),n=0,1,0…其中α,β,A,B,C,D∈(0,∞),初始值x-2,x-1∈[0,∞),x0∈(0,∞)的全局吸引性,从而推广文[1]的结论。 相似文献
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H.D. Voulov 《Journal of Difference Equations and Applications》2013,19(9):799-810
We consider positive solutions of the following difference equation x n =max A x n m k , B x n m m , n =0,1,…, where A , B are any positive real numbers and k , m are any positive integers. We prove that every positive solution is eventually periodic and determine the period in terms of the parameters A , B , k , and m . 相似文献
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In this paper global asymptotic stability and asymptotic behaviour of solutions of nonlinear delay difference equations has been studied and a few sets of sufficient conditions for global asymptotic stability are derived. 相似文献
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We investigate the global stability, the periodic character and the boundedness nature of solutions of the equation in the title for all admissible nonnegative values of the parameters and the initial conditions. We show that the solutions exhibit a trichotomy character depending on how the parameter γ compares to the sum of the parameters δ and A. 相似文献
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The authors investigate the global behavior of the solutions of the difference equation xn+1=axn-1xn-k/bxn-p+cxn-q,n=0,1,…where the initial conditions x-r, x-r+1, x-r+2,… , x0 are arbitrary positive real numbers, r = max{l, k,p, q) is a nonnegative integer and a, b, c are positive constants. Some special cases of this equation are also studied in this paper. 相似文献
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In this article, we discuss the positive definite solutions of the operator equation X m + A * X -n A = I , , on a Hilbert space. Necessary and sufficient conditions for the existence of a positive semi-definite solution are derived. Under some conditions, two effective iterative methods for getting a positive definite solution of this equation are proposed and error estimations are obtained. 相似文献
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In this paper, the structure of the solution space of y n +3 + ry n +2 + qy n +1 + py n =0, n S 0, is studied, keeping oscillatory/nonoscillatory behaviour of solutions of the equation in view, where p , q and r are constants. Some of these results are generalized partially to hold for y n +3 + r n y n +2 + q n y n +1 + p n y n =0, n S 0, where { p n }, { q n } and { r n } are sequences of real numbers. 相似文献
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RemarksontheGlobalAttractoroftheWeaklyDissipativeBenjamin-OnoEquationGuoBoling(郭柏灵)andWuYonghui(吴永辉)(InstituteofAppliedPhysic... 相似文献