Báo cáo hóa học: "ON THE IDENTITY OF TWO q-DISCRETE PAINLEVÉ EQUATIONS AND THEIR GEOMETRICAL DERIVATION" docx

... explicitly derived the equation at hand from the elementary Miura transformations of D (1) 5 . Further, we have clarified these relations from the point of view of Weyl group theory and of rational surfaces. References [1] ... now, along similar lines, to derive the second equation of the system. First we 6 On the identity of two q-discrete Painlev ´ e equation...

Ngày tải lên: 22/06/2014, 22:20

... with the recordings. The experimental procedures adhered to the recommendations of the Euro- pean Union and the NIH Guide for Care and Use of Lab- oratory Animals, and were approved by the Ethical Committee ... means of implanted interfaces with the peripheral nerves of the subject [12]. In the latter case, the choice of the electrode will make a differen...

Ngày tải lên: 19/06/2014, 08:20

... of the throat." Then they mixed all the "stuff" together and sprayed 1 cc of the mixture in each of the nostrils of 10 volunteers, and "into the throat, while inspiring, and ... was the largest of the studies, illustrative of the attempts, and remarkable for the courageousness of the volunteers [52]. In 1919 – in a series of expe...

Ngày tải lên: 20/06/2014, 01:20

... existence results o f solutions of (1.1). The idea of the proof is to transfer the problem of the existence of solutions for (1.1) into the problem of the existence of a minimizer for some associated ... weak solutio n of (1.1). In order to complete the proof of Theorem 3.2, we will prove the uni queness of the weak solution. Let u 1 and u 2 be two weak...

Ngày tải lên: 20/06/2014, 22:20

... solutions of the system of the difference equations x n = A + 1 y n− p , y n = A + y n−1 x n−r y n−s . In [10], Yalcinkaya studied the global asymptotic stability of the system of difference equations z n+1 = t n z n−1 + ... EM: On the solutions of a class of difference equations systems. Demonstratio Mathematica. 41(1), :109–122 (2008) 32. Elsayed, EM: On the so...

Ngày tải lên: 20/06/2014, 22:20

... d (2.5) of Theorem 2.3 have been used only in the choice of the constant C (see (2.11)) and in the proof of Step 1. Hence, we now present only the proof of this part, the rest being the same. Cupini ... with the exception of (2.2), and with (2.5) replaced by lim y→+∞ θ(y) y =0 . (2:17) Then, the assertion of Theorem 2.3 follows. Proof. The proof is quite simi...

Ngày tải lên: 20/06/2014, 22:20

... -1)[14].In the case of the Binary tree, the number of branches is doubled as the matrix size n increases, being the increasing number of nodes equal to 2 n+1 -1[15].On the other hand and conversely, the ... than. Acknowledgements The authors would like to thank the anonymous reviewers for their helpful comments, as well as to the Technical University of Catalon...

Ngày tải lên: 21/06/2014, 00:20

... notations and the formulation of the problem. In Section 3 we present the results on the unique exis- tence and the regularity in time of the generalized solution. The global regularity of the solution ... 2γ 1 . (3:12) From now to the end of the present proof, we fix such constants ε 1 , ε 2 , ε 3 and r. Let |||u N (·, τ ) 2  || | stand for the left-hand...

Ngày tải lên: 21/06/2014, 00:20

... visiting the research Institute of Mathematics, Seoul National University. Author details 1 Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea 2 Department of Mathematics, University ... Mathematics, University of Ulsan, Ulsan 680-749, Republic of Korea 3 Department of Mathematics, Daejin University, Kyeonggi 487- 711, Republic of Korea 4 Departm...

Ngày tải lên: 21/06/2014, 01:20

... the description of our database and the results of the experi- ments. Section 5 has the discussion and the conclusions on the limitations of the TTT early prediction of out- come from the parameters in the ... even questioned the actual predictive value of some of the formerly proposed parameters [17]. Therefore, the aim of this study was twofo ld. Fi...

Ngày tải lên: 21/06/2014, 01:20