Báo cáo hóa học: " NIELSEN NUMBER AND DIFFERENTIAL EQUATIONS" doc

... x 0 = 0andI =[0,τ], τ>0. Letting Q :=  q ∈AC  [0,τ], R  | q(0) = 0and 2 ≤ q  (t) ≤ δ 1 or −δ 1 ≤ q  (t) ≤−δ 2 , for a.a. t ∈[0,τ]  , (4.6) NIELSEN NUMBER AND DIFFERENTIAL EQUATIONS JAN ANDRES Received ... maps ϕ 0 ∼ ϕ 1 . 152 Nielsen number and differential equations compact, and so is Ᏼ ◦T λτ : X ×[0,1]  X (i.e., Ᏼ ◦T λτ ∈ K,foreveryλ ∈ [0,1]). There- fore, all the...

Ngày tải lên: 23/06/2014, 00:20

... These were classified into segments exhibiting copy number gain, normal copy number and copy number loss. For each tumor sample, the average and standard deviation of the segment inten- Rose et al. ... com- pared between AA patients having copy number gain ver- sus those with normal copy number, and those having copy number loss versus those with normal copy number. This an...

Ngày tải lên: 18/06/2014, 16:20

... points x and y. This yields H -Nielsen classes and H -Nielsen number N H ( f ). For the details see [4]. Let us notice that each Nielsen class modH splits into the finite sum of ordinary Nielsen ... expressing the Nielsen number N( f )bythenumbers N(  f )where  f runs the set of all lifts? Such a for mula seems very desirable since the difficulty of computing the Nielsen num...

Ngày tải lên: 22/06/2014, 22:20

... (CPC, model 3007, TSI Inc.) measuring number concentration of parti- cles in the diameter size range of 10 nm to 1 μm and a number concentration range between 0 and 100000 par- ticles per cm 3 . ... measurements and drafted the manuscript. GP and KWJ made substantial contributions to the analysis and interpretation of data. MP was responsible for the validity of measurement data...

Ngày tải lên: 20/06/2014, 00:20

... that for Jacobi-type differential equations, there are cases where the a lgebraic and geometric multiplicities are equal to 2 and cases where the algebraic multiplicity is 2 and the geometric multiplicity ... − k) and a kh = 0 when k<h,soA n is upper trian- gular (and where each row and each column has at most N + 1 non-zero entries). Clearly, A n+1 is obtained from A n by add...

Ngày tải lên: 20/06/2014, 22:20

... on A . Corollary 5.3 Suppose that A is a C *-algebra and that δ : A → A is a m apping for which there exist nonnegative real numbers a, b and positive real numbers p 1 , p 2 , q 1 , q 2 with p 1 , p 2 , ... □ Corollary 5.6 Suppose that A is a C *-algebra and that δ : A → A is a m apping for which there exist a nonnegative real number a and a positive real number p with p <2 suc...

Ngày tải lên: 20/06/2014, 22:20

... Theorem).LetEbeaBanachspaceandB be a bounded closed and convex subset of E, and let F 1 , F 2 be maps of B into E such that F 1 x + F 2 y Î B for every pair x, y Î B. If F 1 is a contraction and F 2 is completely continuous, ...  2 Î C([0, T]; [0, T]) and K Î C([0, T]; ℝ + ). (H 1 ) F, G : [0, T]×X a × X a ® X are continuous and for each positive number k Î N, there exist a co ns...

Ngày tải lên: 21/06/2014, 01:20

... left- and right-hand sides of (15) to obtain C P(D)x,P(D)x (t, ω) = C f (t, ω), (29) and we use (24 )and( 26) to simplify to P ∗  A c )C x,P(D)x (t, ω) = C f (t, ω). (30) Similarly, we apply (25 )and( 27)toobtain(17). 3.2. ... coeffi- cients are the most venerable and studied differential equa- tions, and many ideas and methods have been de veloped to obtain exact, approximate, and...

Ngày tải lên: 23/06/2014, 01:20

... Al-Jaser and Furati: Singular fractional integro -differential inequalities and applications. Journal of Inequalities and Applications 2011 2011:110. Al-Jaser and Furati Journal of Inequalities and ... 2011:110 http://www.journalofinequalitiesandapplications.com/content/2011/1/110 Page 18 of 18 RESEARC H Open Access Singular fractional integro -differential inequalities and appl...

Ngày tải lên: 20/06/2014, 22:20

... pages doi:10.1155/2010/521070 Editorial Degenerate and Singular Differential Operators with Applications to Boundary Value Problems Claudianor Oliveira Alves 1 and Vicent¸iu R˘adulescu 2, 3 1 Unidade Acad ˆ emicadeMatem ´ atica ... singularities in nonlinear PDEs, and Lane-Emden-Fowler-type equations with convection and singular potential. We would like to thank the authors for thei...

Ngày tải lên: 21/06/2014, 05:20