Báo cáo hóa học: " Research Article ´ Conditions for Caratheodory Functions" pptx

... Applications 5 Then the generalized Fourier transform can be extended to the tempered distributions. We also have the inverse formula of the generalized Fourier transform. f  x, t    R×N  f  λ, m  ϕ λ,m  x, ... Applications Volume 2011, Article ID 741095, 13 pages doi:10.1155/2011/741095 Research Article Littlewood-Paley g-Functions and Multipliers for the Laguerre Hypergrou...

Ngày tải lên: 21/06/2014, 06:20

... Corporation EURASIP Journal on Advances in Signal Processing Volume 2009, Article ID 379402, 12 pages doi:10.1155/2009/379402 Research Article Bounds for Eigenvalues of Arrowhead Matrices and Their Applications ... and [d j+1 /d m ,1],respectively .For ∈ [0,d j−1 /d m ], we have  d j + t = d j−1 + f 2 (ρ)and  d j+1 = d j .For ∈ [d j−1 /d m , d j /d m ], we have  d j + t = f 4 (ρ)a...

Ngày tải lên: 21/06/2014, 20:20

... y 2 for n ≥ n 0 6.1 or y n < y 2 for n ≥ n 0 . 6.2 We only prove the case where 6.1 holds. The proof for the case where 6.2 holds is similar and will be omitted. According to 6.1,forn ... α j < y 2 for j odd and y 2 <α j ≤ for j even, 2 α j  α jk1i ,j∈{−k,−k  1, },i∈{0, 1, }. Now, either α j  ∞ for some even j in which case the proof is complete, or α j...

Ngày tải lên: 21/06/2014, 20:20

... Corporation Advances in Difference Equations Volume 2009, Article ID 484185, 16 pages doi:10.1155/2009/484185 Research Article Bounds for Certain New Integral Inequalities on Time Scales Wei Nian ... 2.7. The result of Theorem 2.5 holds for an arbitrary time scale. Therefore, using Theorem 2.5, we can obtain many results for some peculiar time scales. For example, letting T  R a...

Ngày tải lên: 21/06/2014, 20:20

... analytic for z ∈ C p , |z| p ≤ 1, provided that s ∈ D, except for s  1 if χ /  1. Moreover, if z ∈ C p , |z| p ≤ 1, then this function is analytic for s ∈ D if χ /  1 and meromorphic for s ∈ ... analytic for z ∈ C p , |z| p ≤ 1, provided that s ∈ D, except for s /  1 when χ  1. Also, if z ∈ C p , |z| p ≤ 1, this function is analytic for s ∈ D when χ /  1, and meromorphic...

Ngày tải lên: 21/06/2014, 22:20

... Publishing Corporation Boundary Value Problems Volume 2007, Article ID 27621, 17 pages doi:10.1155/2007/27621 Research Article Solvability for a Class of Abstract Two-Point Boundary Value Problems ... prove that system (3.2)hasasolutionon[a,b]foranyβ ∈ [δ,2δ]. Clearly, after finitely many steps, we can prove t hat system (3.2)hasasolutionforβ = 1. Therefore, system (3.1) has a solution...

Ngày tải lên: 21/06/2014, 22:20

... Publishing Corporation Boundary Value Problems Volume 2008, Article ID 723828, 14 pages doi:10.1155/2008/723828 Research Article Solvability for Two Classes of Higher-Order Multi-Point Boundary Value ... L-compact on Ω. Assume that the following conditions are satisfied: i Lx /  λNx for every x, λ ∈ dom L \ Ker L ∩ ∂Ω × 0, 1; ii Nx / ∈Im L for every x ∈ Ker L ∩ ∂Ω; ii...

Ngày tải lên: 21/06/2014, 22:20

... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 351419, 13 pages doi:10.1155/2010/351419 Research Article On Multiple Interpolation Functions of the q-Genocchi Polynomials Seog-Hoon ... theorem. Theorem 2.3. For r ∈ N and n ≥ 0, one has G r n  n  j0  n j   −x  n−j G r j  x  . 2.10 By using 1.24, we easily arrive at the following result. Co...

Ngày tải lên: 21/06/2014, 18:20

... μ. 2.10 Therefore, the power series expression of y p x converges for all x ∈ I 1/μ . Moreover, the convergence region of the power series for y p x is the same as those of power series for y  p x ... x. By considering this fact, we define I ρ  ⎧ ⎨ ⎩  −ρ, ρ  ,  for β<1  ,  −ρ, 0  ∪  0,ρ  ,  for β>1  , 2.4 for any 0 <ρ≤∞. It should be remarked that if...

Ngày tải lên: 21/06/2014, 18:20

... Problems Volume 2011, Article ID 214289, 19 pages doi:10.1155/2011/214289 Research Article Multiple Solutions of p-Laplacian with Neumann and Robin Boundary Conditions for Both Resonance and ... 2.5b. Then according to Poincar ´ e-Hopf formular for C 1 case and the computation of C q J 1i ,a 2 ,wehave index  J 1i ,a 2    −1  l . 3.12 Furthermore, for minimum poin...

Ngày tải lên: 21/06/2014, 07:20