vResearch Article Global Asymptotic Behavior of yn+1 = (pyn + yn−1 )/(r + qyn + yn−1 )" ppt

... Clearly, Ᏸ = r +( q − p)Ψ (r + qΨ + Φ) 2 r +( q − p)Φ (r + qΦ + Ψ) 2 (3.21) which in view of (3.5)gives 0 < r +( q − p)Ψ (r + qΨ + Φ) 2 = r +( q − p)Ψ r + qΨ + Φ 1 r + qΨ + Φ < 1 r + qΨ + Φ = Φ pΨ + ... (3.20)isequivalentto  r +( q − p)Ψ  (r + qΦ + Ψ) 2 +  r +( q − p)Φ  (r + qΨ +...

Ngày tải lên: 22/06/2014, 00:20

... are many articles devoted to the investigation of the asymptotic behavior of solutions of nonlinear wave equations with nonlinear dissipative terms see, e.g. 3, 4, where theorems on asymptotic ... Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 504670, 8 pages doi:10.1155/2010/504670 Research Article Global Asymptotic Stability...

Ngày tải lên: 21/06/2014, 07:20

... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 216760, 15 pages doi:10.1155/2010/216760 Research Article Global Existence, Uniqueness, and Asymptotic Behavior of Solution ... 0,T. Journal of Inequalities and Applications 5 3. Proof of Theorem 2.2 In this section, we assume that all assumptions in Theorem 2.2 are satisfied. We first prove the gl...

Ngày tải lên: 21/06/2014, 07:20

... W 1,p 0 Ω and show the asymptotic behavior of the global solutions through the use of an important lemma of Komornik. 1. Introduction We are concerned with the global solvability and asymptotic stability ... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 895121, 10 pages doi:10.1155/2010/895121 Research Article Global Existence and Asym...

Ngày tải lên: 21/06/2014, 18:20

... 2011, Article ID 237219, 14 pages doi:10.1155/2011/237219 Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales Taixiang Sun, 1 Hongjian Xi, 2 and Xiaofeng ... 2010, Article ID 428963, 16 pages, 2010. 19 L. Erbe, A. Peterson, and S. H. Saker, Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time...

Ngày tải lên: 21/06/2014, 05:20

... of Inequalities and Applications Volume 2010, Article ID 764703, 11 pages doi:10.1155/2010/764703 Research Article Asymptotic Behavior of a Periodic Diffusion System Songsong Li 1, 2 and Xiaofeng ... class of degenerate parabolic problems,” Houston Journal of Mathematics, vol. 21, no. 2, pp. 367–394, 1995. 12 J. B. Sun, B. Y. Wu, and D. Z. Zhang, Asymptotic behavior of...

Ngày tải lên: 21/06/2014, 07:20

... difference equations has been an area of intense interest in recent years. There has been a lot of work concerning the globally asymptotic behavior of solutions of rational difference equations e.g., ... in Difference Equations Volume 2010, Article ID 505906, 10 pages doi:10.1155/2010/505906 Research Article Asymptotic Behavior of Equilibrium Point for a Family of Ration...

Ngày tải lên: 21/06/2014, 11:20

... z 1 = 0, z 1t +  (z 1 + ¯ j 1 ) 2 ¯n 1 + 1x + P (¯n 1 + ϕ 1x ) − P(¯n 1 )  x + z 1 = ( ¯n 1 + ϕ 1x )E + P(¯n 1 ) xt , ϕ 2t + z 2 = 0, z 2t +  (z 2 + ¯ j 2 ) 2 ¯n 2 + 2x + P (¯n 2 + ϕ 2x ) − ... C t  0 (1 + t −τ) −(2k+1)/4 ((1 + t) −5/4 + (1 + t) −3/2 + e −αt )dτ ≤ C(1 + t) −(2k+1)/4 . (4.10) 16 nam...

Ngày tải lên: 21/06/2014, 20:20

... exposition of some unusual properties of difference equations, specially, of difference equations with continuous variables. In the recent years, the asymptotic behavior and other behavior of delay ... Corporation Advances in Difference Equations Volume 2009, Article ID 495972, 13 pages doi:10.1155/2009/495972 Research Article Asymptotic Behavior of Impulsive Infinite Dela...

Ngày tải lên: 21/06/2014, 20:20

... we get x n+ j =  f × g 1 + g 2 + h g 1 + f × g 2 + h   x n+ j−1 , ,x n+ j−r  ≥ min  f  x n+ j−1 , ,x n+ j−r  , 1 f  x n+ j−1 , ,x n+ j−r   ≥ min  min 1≤i≤r  x n+ j−i ,1/x n+ j−i  , 1 max 1≤i≤r  x n+ ... g 2 + h g 1 + f × g 2 + h   x n+ j−1 , ,x n+ j−r  ≤ max  f  x n+ j−1 , ,x n+ j−r  , 1 f  x n+ j−1 , ,x n+ j−r   ≤ max  max 1≤i≤r  x n+...

Ngày tải lên: 21/06/2014, 22:20