TRICHOTOMY, STABILITY, AND OSCILLATION OF A FUZZY DIFFERENCE EQUATION G STEFANIDOU AND G pdf

... the lim n→∞ L n ,a ,lim n→∞ R n ,a ,and lim n→∞ L n ,a = L a ,lim n→∞ R n ,a = R a , a ∈ (0,1], (3.69) where L a = A l ,a A r ,a − C a D a A r ,a − C a , R a = A l ,a A r ,a − C a D a A l ,a − D a , C a =  k i=1 c i,l ,a  m j =1 d j,r ,a , ... can easily prove that   L n ,a − L a   ≤ ,   R n ,a − R a   ≤ , a ∈ (0,1], n = 0,1, , (3.8...

Ngày tải lên: 23/06/2014, 00:20

... Alberta T2N 1N4, Canada E-mail address: maelena@math.ucalgary.ca 4 Oscillation of a logistic equation 3. Oscillation and nonoscillation conditions Lemma 3.1. Suppose ∞  n=1 m  k=1 a k (n) =∞. (3.1) If ... populations that die out completely at each generation and have birth rates that saturate for large population sizes N = K. Equation (1.1) is a discrete analogue Hindaw...

Ngày tải lên: 22/06/2014, 22:20

... point ¯ x of Equation 2 is globally asymptotically stable if ¯ x is locally stable and ¯ x is also a global attractor of Equation 2. (5) The equilibrium point ¯ x of Equation 2 is unstable if ¯ x is ... 3(21):232-235. doi:10.1186/1687-1847-2011-6 Cite this article as: Qian and Qi-hong: Qualitative behavior of a rational dif ference equation . Advances in Difference E...

Ngày tải lên: 21/06/2014, 03:20

... the oscillation of solutions of the difference equation (1) was discussed. Motivated by the work above, in this paper, we aim to study the oscillation and convergence of solutions of neutral difference ... Journal of Science, Mathematics - Physics 24 (2008) 133-143 Oscilation and Convergence for a Neutral Difference Equation Dinh Cong Huong* Dept. of Math, Quy...

Ngày tải lên: 14/03/2014, 13:20

... Technology, O-okayama, Meguro-ku, Tokyo 152-8552, Japan 2 Faculty of Engineering, Tamagawa University, Tamagawa-Gakuen, Machida-shi, Tokyo 194-8610, Japan Correspondence should be addressed to Yasunori ... and Applications 20 T. Ibaraki, Y. Kimura, and W. Takahashi, “Convergence theorems for generalized projections and maximal monotone operators in Banach spaces,” Abstract and App...

Ngày tải lên: 21/06/2014, 20:20

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Ngày tải lên: 22/03/2014, 11:20

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Ngày tải lên: 22/03/2014, 11:20

... was generalized by Aoki 3 for additive mappings. In 1978, Rassias 4 generalized Hyers theorem by obtaining a unique linear mapping near an approximate additive mapping. Assume that E 1 and ... and Applications The paper of Rassias has provided a lot of influence in the development of what we called the generalized Hyers-Ulam-Rassias stability of functional equations. In 199...

Ngày tải lên: 21/06/2014, 07:20

... Journal of Mathematical Analysis and Ap- plications 318 (2006), no. 1, 63–76. [7] M. Kipnis and R. M. Nigmatulin, Stability of trinomial linear difference equations w ith two delays, Automation and ... Magazine 69 (1996), no. 1, 34–43. [16] Z. I. Rekhlitskii, On the stability of solutions of certain linear differential equations with a lagging argument in the Banach space, Dokla...

Ngày tải lên: 22/06/2014, 22:20

... Lemma 1], and by a slight gener alization of [14, Lemma 2.3] we have  max  A x n , A x n−1 , , A x n−k  a =  max  A l ,a R n ,a , A l ,a R n−1 ,a , , A l ,a R n−k ,a  ,max  A r ,a L n ,a , A r ,a L n−1 ,a , ... equations L n+1 ,a = max  A l ,a R n ,a , A l ,a R n−1 ,a , , A l ,a R n−k ,a  , R n+1 ,a = max  A r ,a L n ,a , A r ,a...

Ngày tải lên: 23/06/2014, 00:20