Báo cáo hóa học: " Research Article Functional Equation f x Its Hyers-Ulam Stability" potx
Báo cáo hóa học: " Research Article Functional Equation f x Its Hyers-Ulam Stability" potx
... easily verify that f x − af x − 1 b n f x − n − af x − n − 1 , f x − bf x − 1 a n f x − n − bf x − n − 1 2.3 for all x ∈ R and n ∈{0, 1, 2, }. If we substitute ... qU x h x − x − 1 , f x − 1 U x h x − x − qU x −1 h x − x − 1 , f x − 2 U x −1 h...
Ngày tải lên: 22/06/2014, 03:20
Báo cáo hóa học: "Research Article A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus" pptx
... − 1 i √ x 1 f x ≤ ϕ x 3.2 for all x ≥ a, then there exists a unique solution F : a, ∞ → C of 1.1, which satisfies F x − f x ≤ 1 1 − L ϕ x 3.3 for all x ≥ a. More ... 1 n k1 −i k1 1j 1 ≤···≤j k1 ≤n1−k × k1 m1 1 x j m f x n − k − i √ x 1 f x n Λ n f x 1 n−1 k1 −i k1 1j 1 ≤···≤j k1 ≤n1−k...
Ngày tải lên: 22/06/2014, 11:20
Báo cáo hóa học: " Research Article Functional Classification of Genome-Scale Metabolic Networks" potx
... principle, by its stoichiometry, able to produce if exactly the seed compounds are available. By the inclusion of cofactor functionality (see methods for details), the interpretation of a scope as ... pestis_Mediaevails P. atlantica X. oryzae X. campestris_vesicatoria X. axonopodis X. campestris_B X. campestris P. fluorescens_PfO1 P. putida P. entomophila P. aeruginosa P. fluorescens H...
Ngày tải lên: 22/06/2014, 00:20
Báo cáo hóa học: " Research Article Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable" ppt
... 4.16 where J n f x F x, J n−1 f η x F x, F η x , J n−2 f η x , x ∈ G, 4.17 hence J n f x F x, F F η x , F η x , f ◦ η n η x . 4.18 iii ρ f, c ≤ ... the equation c x F x, c η x , x ∈ G, 4.5 and the estimation d f x ,c x ≤ ψ x 1 − L , x ∈ G. 4.6 Moreover, c x lim n→∞ F x,...
Ngày tải lên: 22/06/2014, 06:20
Báo cáo hóa học: " Research Article Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras" docx
... z), (3.3) f (xyz) − f (xy)z + xf(y)z − xf(yz) A ≤ ϕ (x, y, z) (3.4) for all x, y,z ∈ A.IfthereexistsanL<1 such that ϕ (x, x ,x) ≤ 2Lϕ (x/ 2 ,x/ 2 ,x/ 2) for all x ∈ A and if f (tx) is continuous ... (2.2) Cf (x, y,z) B ≤ ϕ (x, y,z), (2.3) f (xy) − f (x) f (y) B ≤ ϕ (x, y, 0) (2.4) for all x, y,z ∈ A.IfthereexistsanL<1 such that ϕ (x, x ,x) ≤ 2Lϕ (...
Ngày tải lên: 22/06/2014, 19:20
Báo cáo hóa học: " Research Article A Fixed Point Approach to the Stability of a Volterra Integral Equation" pptx
... the inequality f (x + y) − f (x) − f (y)≤ε,forallx and y, can be approximated by an exact solution, say an additive function. In this case, the Cauchy additive functional equation, f (x + y) = f (x) + f (y), ... generalized metric on X if and only if d satisfies the following: (M 1 ) d (x, y) = 0ifandonlyifx = y; (M 2 ) d (x, y) = d(y, x) forallx, y ∈ X; (M 3 ) d (x, z...
Ngày tải lên: 22/06/2014, 19:20
Báo cáo hóa học: " Research Article Functional Inequalities Associated with Jordan-von Neumann-Type Additive Functional " potx
... = x in (5.1), we get f ( 2x) + 2f ( x) Y 1+2 r θ x r X (5.3) for all x X.Replacingx by x in (5.3), we get f ( 2x) + 2f (x) Y 1+2 r θ x r X (5.4) for all x X.Letg (x) := ( f (x) ... that f (x) f ( x) 2 h (x) Y 2 r θ 8 r 2 x 3r X (4.9) for all x X. Proof. Letting y = x and z = 2x in (4.8), we get 2 f (x) +...
Ngày tải lên: 22/06/2014, 22:20
Báo cáo hóa học: " Research Article Cellular Neural Networks for NP-Hard Optimization" potx
... energy function, one gets dE dt =− i,j;k,l A i,j;k,l dy i,j dx i,j dx i,j dt y k,l + y i,j dy k,l dx k,l dx k,l dt − b i,j dy i,j dx i,j dx i,j dt u i,j =− i,j k,l dy i,j dx i,j dx i,j dt A i,j;k,l y k,l −b i,j dy i,j dx i,j dx i,j dt u i,j =− i,j k,l dy i,j dx i,j dx i,j dt A i,j;k,l y k,l + ... speed of simulated annealing (SA) performed on a 3.4 GHz Pentium 4 (squares...
Ngày tải lên: 21/06/2014, 22:20
Báo cáo hóa học: " Research Article System of Generalized Implicit Vector Quasivariational Inequalities" potx
... W i .Then ,x i = f i (x) ∈ Co(P i (x) ) which contradicts x i ∈ Co(P i (x) ) for all x = (x i ,x i ) ∈ X. Thus, x i ∈S i (x) andG i (x) =∅ for each i∈I. That is, x i ∈S i (x) andS i (x) ∩ Co(P i (x) )= ∅ for ... f i (x) ∈ S i (x) ifx ∈ W i ,weknowthatH i (x) ⊂ V i and so x ∈ W i : f i (x) ∈ V i ∪ x ∈ X : S i (x) ⊂ V i ⊂ x ∈ X : H i (x) ⊂ V...
Ngày tải lên: 21/06/2014, 22:20
Báo cáo hóa học: " Research Article Rain-Induced Bistatic Scattering at 60 GHz" potx
... interesting results. 5.1. Influence of frequency For the same link geometry as that of Figure 1, the frequency dependence from 58 GHz to 66 GHz was investigated. From Figure 2 it can be seen that the ... study was performed by QinetiQ on behalf of Ofcom (the UK Office of Communications) to investigate bistatic scattering at 60 GHz. This study performed a num- ber of measurements and drafted guid...
Ngày tải lên: 22/06/2014, 19:20