GLOBAL ASYMPTOTIC STABILITY OF SOLUTIONS OF CUBIC STOCHASTIC DIFFERENCE EQUATIONS ALEXANDRA RODKINA potx

... (3.5) GLOBAL ASYMPTOTIC STABILITY OF SOLUTIONS OF CUBIC STOCHASTIC DIFFERENCE EQUATIONS ALEXANDRA RODKINA AND HENRI SCHURZ Received 18 September 2003 and in revised form 22 December 2003 Global ... On asymptotic behaviour of solutions of stochastic difference equations with Volterra type main term, Stochastic Anal. Appl. 18 (2000), no. 5, 837–857. [7] A....

Ngày tải lên: 23/06/2014, 00:20

... 4, where theorems on asymptotic stability of the zero solution and estimates of the zero solution and the estimates of the rate of decay of solutions to second order wave equations are obtained. Similar ... Moreover the polynomial decay rate for solutions is established. There are many articles devoted to the investigation of the asymptotic behavior of solutions...

Ngày tải lên: 21/06/2014, 07:20

... Theorem 3.1, c = 1 is the globally asymptotically stable equilibrium of (4.5). 5. Conclusions This article has studied the global asymptotic stability of a class of difference equations. The result ... 7, pp. 4707–4717, 2001. [5] X. Yang, D. J. Evans, and G. M. Megson, Global asymptotic stability in a class of Putnam-type equations, ” Nonlinear Analysis: Theory, Methods &...

Ngày tải lên: 21/06/2014, 22:20

... Theorem 3.1, c = 1 is the globally asymptotically stable equilibrium of (4.5). 5. Conclusions This article has studied the global asymptotic stability of a class of difference equations. The result ... Corporation Advances in Difference Equations Volume 2007, Article ID 16249, 7 pages doi:10.1155/2007/16249 Research Article Global Asymptotic Stability in a Class of Diff...

Ngày tải lên: 22/06/2014, 00:20

... Quarterly, vol. 14, no. 2, pp. 129–147, 2006. 22 B. Karpuz, Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations, ” Applied Mathematics and Computation, vol. ... solutions of various equations on time scales, and we refer the reader to 5–18. Recently, Erbe et al. 19–21 considered the asymptotic behavior of solutions of th...

Ngày tải lên: 21/06/2014, 05:20

... the study of stability and estimates of solutions of 1.1. 2. Exponential Stability and Estimates of the Convergence of Solutions to Stable Systems First we give two definitions of stability ... exponential stability of system 1.1 as well as on estimates of the norms of its solutions and their derivatives in the case of exponential stability and in the ca...

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Ngày tải lên: 22/03/2014, 11:20

... variational inequalities, we have the problem of finding the fixed p oints of the nonexpansive mappings, 2 Existence of solutions of a new system of gener- alized variational inequalities in Banach ... each x ∈ K. Then the problem (1.3) has a solution and the set of solutions (1.3) is closed. 9 15. Li, JL: On the existence of solutions of variational inequalities in Banach...

Ngày tải lên: 20/06/2014, 21:20

... of the system of the difference equations x n = A + 1 y n− p , y n = A + y n−1 x n−r y n−s . In [10], Yalcinkaya studied the global asymptotic stability of the system of difference equations z n+1 = t n z n−1 + ... D: Global asymptotic stability of a system of difference equations. Appl Anal. 87(6), :689–699 (2008). doi:10.1080/00036810802163279 22. Yalcinka...

Ngày tải lên: 20/06/2014, 22:20

... 2011:19 http://www.fixedpointtheoryandapplications.com/content/2011/1/19 Page 8 of 10 RESEARC H Open Access Convergence theorems of solutions of a generalized variational inequality Li Yu 1* and Ma Liang 2 * Correspondence: brucemath@139.com 1 School of Business ... paper, we use VI(C, A) to denote the set of solutions of the variational inequality (1.4). Let S : C ® C beamapp...

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