Báo cáo hóa học: "Integro-differential inequality and stability of BAM FCNNs with time delays in the leakage terms and distributed delays" doc

... Integro-differential inequality and stability of BAM FCNNs with time delays in the leakage terms and distributed delays. Journal of Inequalities and Applications 2011 2011:43. Zhang and Li Journal of Inequalities ... 2011:43 http://www.journalofinequalitiesandapplications.com/content/2011/1/43 Page 3 of 18 RESEARCH Open Access Integro-differential ine...

Ngày tải lên: 21/06/2014, 00:20

... consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of “r-cone” and eigenspac e of the spect ... carried out the main proof of the theorems in this paper. Shujun Long carried out the expample. Xiaoh u Wang provided the main idea of this paper. All author...

Ngày tải lên: 21/06/2014, 03:20

... are either nonnegative as in Theorem A or constant as in Theorem B. Further, let us compare our stability tests with known results, including Theorems A and B. Example 3.5. Consider the equation x  n ... 3.2 once the delays are bounded: n − hn ≤ T 1 , n − gn ≤ T 2 . The following example outlines the sharpness of the condition that the delays are bounded...

Ngày tải lên: 22/06/2014, 11:20

... ≤ d(f,Jf ) 1−L with f ∈ Ω, which implies the inequality d(f, A) ≤ 1 2 − 2L . This implies that the inequality (2.7) holds. The rest of the proof is similar to that of the proof of Theorem 2.1. ... Y is a mapping satisfying the Eq. (0.1) and the inequality (2.11). To prove the uniqueness, assume that there is another mapping L : X → Y wh ich satisfies the ineq...

Ngày tải lên: 18/06/2014, 15:20

... means of the Lyapunov’s direct me thod can be solved by means of the fixed point th eory. Then, together with Sakthivel and Luo [11,12] investigate the asymptotic stability of the non- linear ... equations and the impulsive stochastic partial differential equations with infinite delays by means of the fixed point theory. On the other hand, Luo [13,14] firstly...

Ngày tải lên: 20/06/2014, 22:20

... However, if the structure of the time scale is rather simple we have the following theorem. Theorem 3.16. Suppose that τ contains no right-dense points and the trivial solution x ≡ 0 of 3.1 is ... studies the stability of the solution x ≡ 0 for a class of quasilinear implicit dynamic equationsontimescalesoftheformA t x Δ  ft, x. We deal with an index concept t...

Ngày tải lên: 21/06/2014, 05:20

... existence and multiple solutions of p 1  and p 2  using the critical points theory for the semilinear case p  2. There also have been some papers dealing with the quasilinear case p /  2 using the ... Proof of Corollaries 1.2 and 1.4. Proof. See Theorem 3.5 of Li 1. Proof of Theorem 1.3. From the variational point of view, solutions of p 2  are the cr...

Ngày tải lên: 21/06/2014, 07:20

... on the parities of Fx, t and ex, t,bya small twist theorem of reversible mapping we obtain the existence of quasiperiodic solutions and boundedness of all the solutions. 1. Introduction and ... Boundary Value Problems 2. The Proof of Theorem The proof of Theorem 1.1 is based on Moser’s small twist theorem for reversible mapping. It mainly consists of two step...

Ngày tải lên: 21/06/2014, 07:20

... 1. 1.25 The proof method of the main result of this paper is different with ones of others in the literatures and our result extends and improves the ones of Colao et al. 5 and some others. Fixed ... for obtaining a common element in the solution set of an in nite family of generalized equilibrium problems and in the common fixed-point set of a fini...

Ngày tải lên: 21/06/2014, 11:20

... concerning the situation when the damping mechanism is given by memory terms; see 3,whereacoupled Timoshenko beam system is investigated. On the other hand, the stability of the single integro-differential ... constant. Those terms of the form  T S ·, ·  dt can be similarly treated. Denote by J the sum of the other terms on the right of 2.17. Advances...

Ngày tải lên: 21/06/2014, 11:20