a class of complex numbers

... the class HT of factors M having HT Cartan subalgebras A ⊂ M , i.e., maximal abelian ∗ -subalgebras A ⊂ M such that M has the property H relative to A and A contains a subalgebra A0 ⊂ A with A0 ... class of M We call HT the Cartan subalgebras satisfying the combination of the rigidity and compact approximation properties and denote by HT the class of factors having HT Cartan subalgebras ... Annals of Mathematics, 163 (2006), 809–899 On a class of type II1 factors with Betti numbers invariants By Sorin Popa* Abstract We prove that a type II1 factor M can have at most one Cartan...

Ngày tải lên: 06/03/2014, 08:21

... numbers and some its applications to Ramsey theory, Serdica Bulgaricae math publicationes 9, 1983, 161–167 (in Russian) [8] N Nenov, On a class of vertex Folkman graphs, Annuaire Univ So a Fac ... (a1 , , ar ) and cl(G) = max {a1 , , ar } Therefore F (a1 , , ar ; q) exists if and only if q > max {a1 , , ar } (1) These numbers are called vertex Folkman numbers In [5] Luczak and ... G → (a (1) , , a (r) ) for any permutation ϕ ∈ Sr That is why we may assume that a1 ≤ ≤ ar ≤ p (25) We shall prove that a1 + a2 − ≤ p If a2 ≤ this is trivial: a1 + a2 − ≤ ≤ p Let a2 ≥...

Ngày tải lên: 07/08/2014, 13:21

... Galo, I Albarreal, M.C Calzada, J.L Cruz, E Fernandez-Cara, M Mari´n, Stability and Convergence of a Parallel ´ Fractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics ... Marszalek, Z Trzaska, A Boundary-value Problem for Linear PDAEs, Int.J.Appl.Math.Comput.Sci., Vol 12, No (2002) 487 [3] T Lu, P Neittaanmaki, X.C Tai, A Parallel Splitting-up Method for Partial ... Adams, New Parallel Method by Domain Partitioning, SIAM J Sci Comput Vol 20, No (1999) 2261 [9] C.Zhang, Hong Lan, Y.E.Yang, B.D Estrade, Parallel SOR Iterative Algorithms and Performance Evaluation...

Ngày tải lên: 13/02/2014, 03:20

... submodularity naturally arises Concept-based summarization (Filatova and Hatzivassiloglou, 2004; Takamura and Okumura, 2009; Riedhammer et al., 2010; Qazvinian et al., 2010) usually maximizes ... is that of Problem 3.3 Automatic summarization evaluation Automatic evaluation of summary quality is important for the research of document summarization as it avoids the labor-intensive and potentially ... on Artificial Intelligence (IJCAI07), Hyderabad, India, January H Narayanan 1997 Submodular functions and electrical networks North-Holland G.L Nemhauser, L .A Wolsey, and M.L Fisher 1978 An analysis...

Ngày tải lên: 23/03/2014, 16:20

... 78363-8202, USA *Corresponding author: manuel.delasen@ehu.es Email address: RPA: Agarwal@tamuk.edu Abstract This article discusses three weak φ-contractive conditions of rational type for a class of 2cyclic ... mappings satisfying a contractive condition of rational type of partially ordered metric space Abstr Appl Anal 2010, Article ID 190701, (2010) doi:10.1155/2010/190701 [2] Harjani, J, Sadarangani, ... equally and significantly in writing this paper All authors read and approved the final manuscript Acknowledgments The authors are grateful to the Spanish Ministry of Education for its partial...

Ngày tải lên: 18/06/2014, 22:20

... for a class of higher-order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, Hunan University of Science ... the NNSF of China (10871063) and Scientific Research Fund of Hunan Provincial Education Department (10B017) References [1] Agarwal, RP: Difference Equations and Inequalities, 2nd edn Marcel Dekker, ... f (n, u) for any (n, u) ∈ Z × R, ω ∈ N Difference equations have attracted the interest of many researchers in the last 20 years since they provided a natural description of several discrete models,...

Ngày tải lên: 18/06/2014, 22:20

... Mississauga, Ontario, Canada), 0.7 µl of T7 polymerase (Ambion), and nuclease-free water to a final volume of 25 µl The reactions were incubated for one and a half hour at 37°C [10] Nicotiana benthamiana, ... (data not shown) Figure benthamiana and northern analyses of the PVX infected N Immunoblot plants Immunoblot and northern analyses of the PVX infected N benthamiana plants (A) Immunoblot analysis ... using a forward primer (GCG GGG ATC GAT ATG TCT ACT GTT GGT TTC CAC) containing added sequences encoding a ClaI restriction site (underlined) and a reverse primer (CGC GTC GAC TCA CAA AGA GGA TAT...

Ngày tải lên: 18/06/2014, 22:20

... theoretical proof and drafted the manuscript XH participated in the design and coordination Both of the two authors read and approved the final manuscript References [1] Liapunov, AM: Probl`me g´n´ral ... Lyapunov-type inequalities for a class of even-order differential equations Qi-Ming Zhang∗1 and Xiaofei He2 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R China ... scales J Math Anal Appl 296, 97–109 (2004) [5] Jiang, LQ, Zhou, Z: Lyapunov inequality for linear Hamiltonian systems J Math Anal Appl 310, 579–593 (2005) [6] Kwong, MK: On Lyapunov’s inequality...

Ngày tải lên: 20/06/2014, 21:20

... motivated by Ceng et al [2], Takahashi and Zembayashi [14], Takahashi and Zembayashi [9], the main aim of this paper is to introduce and investigate a new iterative method for finding a solution of ... et al Fixed Point Theory and Applications 2011, 2011:91 http://www.fixedpointtheoryandapplications.com/content/2011/1/91 Page of 11 and Takahashi [10] and Takahashi et al [13], Takahashi and ... 17 Takahashi, W: Nonlinear Functional Analysis-Fixed Point Theory and Its Applications Yokohama Publishers (2000) 18 Xu, HK: Inequalities in Banach spaces with applications Nonlinear Anal (TMA)...

Ngày tải lên: 20/06/2014, 21:20

... and uniqueness of solutions for generalized linear discrete-time boundary value problems of a class of linear rectangular matrix difference equations whose coefficients are square constant matrices ... Singular Systems of Differential Equations Cole Publishing Company (1980) Gantmacher, FR: The Theory of Matrices, Volume I and II Chelsea (1959) Datta, BN: Numerical Linear Algebra and Applications ... GI, Psarrakos, P, Karcanias, N: On the computation of the Jordan canonical form of regular matrix polynomials Linear Algebra Appl 385, 117–130 (2004) doi:10.1186/1687-1847-2011-51 Cite this article...

Ngày tải lên: 20/06/2014, 22:20

... Republic of China 2School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, People’s Republic of China Authors’ contributions All authors carried out the proof All authors ... Chapman and Hall/CRC, London (2002) xn−1 Amleh, AM, Georgia, DA, Grove, EA, Ladas, G: On the recursive sequence xn+1 = α + x J Math Anal Appl 233, n 790–798 (1999) doi:10.1006/jmaa.1999.6346 Agarwal, ... in a class of Putnam-type equations Nonlinear Anal 64(1), 42–50 (2006) doi:10.1016/j.na.2005.06.005 11 Sun, T, Xi, H: Global asymptotic stability of a higher order rational difference equation...

Ngày tải lên: 20/06/2014, 22:20

... P-Kirchhoff problem began to attract the attention of several researchers mainly after the work of Lions [1], where a functional analysis approach was proposed to attack it The reader may consult ... differentiable on D If x0 Î D and the Fréchet derivative J’ (x0) = 0, then we call that x0 is a critical point of the functional J and c = J(x0) is a critical value of J Yang and Zhang Boundary Value ... X is a real Banach space and X2 ≠ {0}, and is finite dimensional Suppose J Î C1(X, R) satisfies (PS) and (i) there is a constant a and a bounded neighborhood D of in X2 such that J|∂D ≤ a and,...

Ngày tải lên: 20/06/2014, 22:20

... Math Anal Appl 352, 99–111 (2009) doi:10.1016/j.jmaa.2008.06.021 16 Kang, D: Solution of the quasilinear elliptic problem with a critical Sobolev-Hardy exponent and a Hardy term J Math Anal Appl ... doi:10.1016/j.jmaa.2007.10.058 17 Pucci, P, Servadei, R: Existence, non-existence and regularity of radial ground states for p-Laplace weights Ann Inst H Poincaré Anal Non Linéaire 25, 505–537 ... http://www.boundaryvalueproblems.com/content/2011/1/37 Page 15 of 15 11 Wang, L, Wei, Q, Kang, D: Multiple positive solutions for p-Laplace elliptic equations involving concave-convex nonlinearities and a Hardytype term Nonlinear Anal 74, 626–638...

Ngày tải lên: 20/06/2014, 22:20

... modification to [8] Lemma 3.2 Assume a Î N and f(t,u) satisfies (F1), then (H1) j(t ,a) vanishes at least once and at most finitely many times in (a, b (a) ), (H2) if

Ngày tải lên: 20/06/2014, 22:20

... Harjani, J, Lopez, B, Sadarangani, K: A fixed point theorem for mappings satisfying a contractive condition of rational type of partially ordered metric space Abstr Appl Anal 2010, (2010) (Article ... order of its elements □ An example is given below Example 3.6: Take p = and subsets A1 ≡ C (a, 0, a- a0) and A2 ≡ C( -a, 0, a- a0) of R2 are circles of centre in (a, 0) and ( -a, 0), respectively, and ... 0 a (1 − α1 ) > − α1 and ® A ∪ A with >a ≥ 0, β1 = a0 a ≥ a1 ≥ a − A1 ∪ A2 a β1 = > It is noted that the condition (3.1) is not guarana0 − α1 teed to be contractive for any point of A1 It is also...

Ngày tải lên: 20/06/2014, 22:20

... doi:10.1016/S0006-3495(95)80157-8 Mainardi, F: Fractional calculus: Some basic problems in continuum and statistical mechanics In: Carpinteri CA, Mainardi F (eds.) Fractal and Fractional Calculus in Continuum Mechanics pp ... Fractional Calculus and Fractional Differential Equations Wiley, New York (1993) 10 Podlubny, I: Fractional Differential Equations Academic Press, San Diego (1999) 11 Lakshmikantham, V, Vatsala, AS: ... Zhao, Y, Sun, S, Han, Z, Li, Q: Positive solutions to boundary value problems of nonlinear fractional differential equations Abs Appl Anal 2011, Article ID390543 (2011) 19 Harjani, J, Sadarangani,...

Ngày tải lên: 20/06/2014, 22:20