Báo cáo hóa học: " Research Article Bounds of Eigenvalues of K3,3-Minor Free Graphs" docx

... the upper bounds of the eigenvalues of Q are functions of ρ in the interval [0, 1]. Therefore, we are able to find optimal bounds of the eigenvalues of Q by choosing proper ρ.The upper bounds on ... m. (45) Proof. In Theorem 8, the lower bounds of the eigenvalues of Q in (20) are determined by  d j , j = 1,2, , m,ands and t in (21). As we did in Theorem 12, the low...

Ngày tải lên: 21/06/2014, 20:20

... preliminaries including existence and numbers of eigenvalues of the coupled boundary value problems, and some properties of eigenvalues of a kind of separated boundary value problem, which will ... suggestions. This research was supported by the Natural Scientific Foundation of Shandong Province Grant Y2007A27, Grant Y2008A28, and the Fund of Doctoral Program Research...

Ngày tải lên: 21/06/2014, 20:20

... Corporation Journal of Inequalities and Applications Volume 2009, Article ID 852406, 5 pages doi:10.1155/2009/852406 Research Article Bounds of Eigenvalues of K 3,3 -Minor Free Graphs Kun-Fu Fang Faculty of Science, ... H  ⊕ 2 H k1 . Hence mG ≤mG  mG k1 ≤2nG  nG k1 −2−4  2nG−4. 3. Bounds of Eigenvalues of K 3,3 -Minor Free Graphs Lemma 3.1...

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... analogue devices. One of the largest focuses for the research on this topic is the emulation of the subtractive sound synthesis principle of the early electronic synthesisers of 1960s and 1970s. ... model uses a part of a sine wave whose frequency one fourth of the target f 0 .However, the rapid transition of this simplified model results in large aliasing as in the case of t...

Ngày tải lên: 21/06/2014, 05:20

... for BVP  M  . The expression of the Green’s function of Proposition 1.1 is different from that of 4. The expression of Boundary Va lue Problems 3 With the aid of Proposition 1.1, we obtain ... prove this corollary directly through the Sobolev inequality the idea of the proof origins to Brown and Hinton 5,page5. Proof of Corollary 1.4. Consider  s 2 s 1  u M  x  ...

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... stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, pp. 222–224, 1941. 3 Th. M. Rassias, “On the stability of the ... Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID 957541, 9 pages doi:10.1155/2011/957541 Research Article On the Stability of Quad...

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... flowchart of the proposed replay attack prevention mechanism is provided in Figure 1 . 3.4. Procedure of the ACFNC Model. The process of DoS attacks prevention by the ACFNC model consists of two ... received by their destination and number of lost packets is zero. The null amount of lost ratio in presence of the ACFNC model provides evidence for strong ability of the model to p...

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... interest of this paper is concerned with the positivity and stability of solutions independent of the sizes of the delays and also being independent of eventual coincidence of some values of delays ... Applications, vol. 2008, Article ID 856145, 7 pages, 2008. 35 S M. Jung and J. M. Rassias, “A fixed point approach to the stability of a functional equation of the spiral...

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... 70901016, HSSF of Ministry of Education of China no. 09YJA790028,Program for Innovative Research Team of Liaoning Educational Committee no. 2008T054,and Innovation Method Fund of China no. ... Corporation Advances in Difference Equations Volume 2011, Article ID 378686, 9 pages doi:10.1155/2011/378686 Research Article On the Existence of Solutions for Dynamic Boundary...

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... Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID 936428, 15 pages doi:10.1155/2011/936428 Research Article Boundedness and Nonemptiness of Solution Sets for Set-Valued ... existence of solutions for a system of vector equilibrium problems,” Journal of Optimization Theory and Applications, vol. 133, no. 2, pp. 201–212, 2007. 22 I. V. Kon...

Ngày tải lên: 21/06/2014, 06:20