Báo cáo hóa học: " Research Article Blow up of the Solutions of Nonlinear Wave Equation" pdf

... Journal of Differential Equations, vol. 187, no. 2, pp. 520–540, 2003. 9 N. Polat, D. Kaya, and H. I. Tutalar, Blow- up of solutions for a class of nonlinear wave equations,” in Proceedings of the ... Journal of Mathematical Analysis and Applications, vol. 272, no. 2, pp. 480–495, 2002. 8 Y. Zhijian, “Global existence, asymptotic behavior and blowup of solutions for...

Ngày tải lên: 21/06/2014, 20:20

... Problems On the other hand, from the definition of the set M we have   u m   ≤ 1 B ∀m ∈ ᏺ. (A.16) From (A.15)and(A.16) it follows that the set {u n } is compact subset of the space Ꮿ([0, ∞)). Therefore, ... (4.32) Consequently, the operator R : M → M is contractive operator. We note that the set M is closed subset of the space Ꮿ((0,1]L 2 ([0,∞))) (for the proof see...

Ngày tải lên: 22/06/2014, 19:20

... v   { 0 } , 4.10 then x is a local efficient solution of problem 2.1. Proof. The proof is similar to Theorem 4 .7. Remark 4.9. If fS is convex, then the condition ii of Theorem 4.7 is equivalent to the following ... Journal of Inequalities and Applications Acknowledgments This work was partially supported by the National Science Foundation of China no. 10771228 and 1...

Ngày tải lên: 21/06/2014, 07:20

... reported that the nature of dither is most important in the flat regions of the image [12]. This phenomenon is due to the spatial masking effects that hide the presence of noise in regions of the image ... used in the rest of this paper. Let I be the total number of frames in V c .LetM be the total number of pixel rows in each frame of V c , and let N be thetot...

Ngày tải lên: 21/06/2014, 08:20

... ε k , 3.7 and therefore,  Tz k−1 − z k  ≤ ε k 3.8 as announced. The next result is used in order to establish the fact that the sequence defined in Theorem 3.1 approximates the solution of the nonlinear ... conditions, we can estimate the rate of convergence of the sequence of projections. For this purpose, consider the dense subset {t i } i≥1 of distinct poin...

Ngày tải lên: 21/06/2014, 10:20

... given in their papers. The estimations of error bounds for these asymptotic solutions to 1.1 were given in 5 by Zhang et al. But the problem of obtaining error bounds for these asymptotic solutions ... according to different values of parameters. The first case is devoted to the situation when k>0, and in the second case as k<0 where k  2p − q. The whole proof...

Ngày tải lên: 21/06/2014, 11:20

... second-order boundary conditions. We will consider the blowup of the solution for problem 1.1–1.4 with nonlinear boundary source term gu. Blowup of the solution for problem 1.1–1.4 was considered by ... Value Problems Volume 2010, Article ID 203248, 11 pages doi:10.1155/2010/203248 Research Article A Remark on the Blowup of Solutions to the Laplace Equation...

Ngày tải lên: 21/06/2014, 11:20

... categories: entity and group mobility models. The entity mobility models represent the behavior of an individual node or group of nodes independently from other nodes. On the other hand, the group mobility ... experiment setting, the direction of movement of the communicating end nodes forms two groups of scenarios. The first group has scenarios with the same directio...

Ngày tải lên: 21/06/2014, 11:20

... 0,T. The results of the following two lemmas we use in the proofs of the existence of positive and dead-core solutions to problem 1.1, 1.2. Lemma 2.8. Let (H 1 )–(H 3 ) hold. Then there ... If the values of λ are sufficiently small, then all sequential solutions of problem 3.17, 1.2 are positive solutions by Theorem 3.2. Theorem 3.3 guarantees that all sequen...

Ngày tải lên: 21/06/2014, 18:20

... is the solution of 2.8 and 2.9 with the initial data u 0 ,v 0 . By the unique solvability of problem 2.8–2.10,wegetthatu w ,v w tu, vt. This completes the proof. Proof of Theorem ... 4.12,andTheorem 4.2,wegettheresults. 5. Upper Semicontinuity of Attractors In this section, we present the approximation to the uniform attractor A H w k 0 ×H w g 0  obt...

Ngày tải lên: 21/06/2014, 20:20