báo cáo hóa học:" Research Article The Existence and Exponential Stability for Random Impulsive Integrodifferential Equations of Neutral Type" pot

... Difference Equations and uniqueness of the solutions to random impulsive differential equations, and in 18 Zhao and Zhang discussed the exponential stability of random impulsive integro-differential equations ... equation of neutral type. One of the main reason is that the methods to discuss the exponential stability of deterministic impulsive...

Ngày tải lên: 21/06/2014, 11:20

... Ω 4 . Therefore, in the fourth, sixth, seventh, and the eigth cases, we may use the conclusions in the other cases to conclude our proof. The proof is complete. Theorem E Suppose that λ  c/1 − a. Then, ... Advances in Difference Equations Proof. Indeed, in view of Lemma 6.1, we may assume without loss of generality that x −2 ,x −1 >λ. Then the same arguments in the...

Ngày tải lên: 21/06/2014, 11:20

... conditions at 0 and ∞,andfx, t/t is nondecreasing on 0, ∞ for all x ∈ Ω. Critical point theory and minimax methods are used in 3 and 4. For Kta  bt and λ  0, the existence of a nontrivial ... growth at ∞ and no other condition. Our aim is to study the existence of positive solution to problem P λ , where, unlike previous existence results and, in p...

Ngày tải lên: 21/06/2014, 11:20

... mechanics, and engineering 1–5. For the basic theory and recent development of the subject, we refer the reader to a text by Lakshmikantham et al. 6. For more details and examples, see 7–24 and the ... results on the existence of positive solutions by using fixed point theorem in cones. The proofs are based upon the reduction of problem considered to th...

Ngày tải lên: 21/06/2014, 05:20

... A.6. Therefore the lemma is true and A.1 holds. Acknowledgments This work is supported by the Specialized Research Fund for the Doctoral Program of Higher Education for New Teachers and the ... I 2  of Theorem A holds. Now we establish I 3  of Theorem A by the following three lemmas. Lemma 2.6. Under the assumptions of Theorem 1.1, i of I 3  holds...

Ngày tải lên: 21/06/2014, 20:20

... obtained the existence of at l east double and triple positive solutions of the problems by using a new double fixed point theorem and triple fixed point theorem, respectively. In 18, Zhou and Ma ... existence of solutions for the nonlinear boundary value problem by using Krasnoselskii’s fixed point theorem and Leggett and Williams fixed point theorem, respectively....

Ngày tải lên: 21/06/2014, 20:20

... referees for their very careful reading of the paper and fruitful comments and suggestions. This research is partly supported by N S Foundation of Hebei Province Grant A2011201011, and the Youth ... b  1.5 holds for all a, b > 0witha /  b. For more results, see 9–23. The purpose of the present paper is to find the greatest values α 1 ,α 2 and the le...

Ngày tải lên: 21/06/2014, 05:20

... contradiction. Therefore, the conclusion of Theorem 3.2 holds. This completes the proof of Theorem 3.2. In order to obtain the permanence of the component yn of system 1.3, we next consider the following ... criteria for the existence, uniqueness, and stability of a positive periodic solution and a boundary periodic solution. At the end of their paper, n...

Ngày tải lên: 21/06/2014, 11:20

... ∞ u t t  0 and lim t → ∞ ∇ut p  0. The proof of Theorem 2.8 is thus finished. 4 Journal of Inequalities and Applications Lemma 2.5. Assume that the hypotheses in Theorem 2.4 hold, then r − ... nonexistence theorems for nonlinear evolution equations, ” The Quarterly Journal of Mathematics, vol. 28, no. 112, pp. 473–486, 1977. 8 H. A. Levine, “Instability and n...

Ngày tải lên: 21/06/2014, 18:20

... 23%, meaning that the DRBS does not allocate the bandwidth to the 4th layer video stream. The UVBR dropping rate is between 23% and 30%, and in the case of the arrival rate of the CBR being between ... layer of SVC. In DWAS, only the bandwidth of the first video layer is allocated, that is, lb 1 , to meet minimum requirement of t 2 and t 3 .Fort 4 , the band...

Ngày tải lên: 21/06/2014, 05:20