solutions weight functions and gauss quadrature for one dimensional problems

Ngày tải lên: 16/09/2015, 17:11

... motivated by Nakajo and Takahashi [12] and Xu [13], Matsushita and Takahashi [14] introduced the iterative algorithm for finding fixed points of nonexpansive mappings in a uniformly convex and smooth ... by Aoyama et al [20] and Kimura and Nakajo [15] Lemma 2.3 [15]Let C be a nonempty, closed, and convex subset of a uniformly convex Banach space E and {Sn} be a family of nonexpansive mappings ... mapping If G(x) is closed for all × Î B and is compact for at least one x Î B, then ⋂xÎBG(x) ≠ ∅ Existence results of gep Motivated by Takahashi and Zembayashi [22], and Ceng and Yao [23], we next...

Ngày tải lên: 21/06/2014, 02:20

... room temperature naturally, and the resulting solid products were collected, washed with absolute ethanol and distilled water for twice, and then dried in vacuum at 70 °C for h Characterization The ... autoclave was maintained at 180 °C for 24 h and then allowed to cool to room temperature A yellowish precipitate was collected and washed with absolute ethanol and distilled water to remove residue ... ZnS has a wider band gap (Eg = 3.7 eV) than CdS The surface modification of a wide band gap semiconducting shell around a narrow band gap core can alter the charge, functionality, and reactivity...

Ngày tải lên: 22/06/2014, 01:20

... the eigen wavefunctions exponentially localized2 After Anderson’s pioneering work, Thouless and his collaborators [6–8], and Wegner [9] developed the scaling theory to understand the physics ... carriers and the relatively large-scale ballistic transport at room temperature [38] For graphene to act as a logic gate, one big problem is its lack of band gap, i.e., the conduction and valence bands ... stands for graphene superlattice We now give brief summaries of the individual chapters of this thesis Chapter will be devoted to the introduction of the TMF, and the standard map formalism for...

Ngày tải lên: 09/09/2015, 08:16

... of forward analyses required in a RB–LMF inverse analysis (for one particular µmeasure ) 134 6.4 Comparison of computational time for a LMF model using FEM and RB as forward solvers (for ... computation time for a LMF model using FEM and RB as forward solvers (for one particular µm ) 153 x List of Figures 1-1 The 3D simplified FEM model and its sectional view of a dental implant-bone system ... ellipses and computed parameter samples of (a) 100 random tests and (b) 500 random tests 132 6-13 95% confidence ellipse and computed parameter samples of 1000 random tests (a) and 95% confidence...

Ngày tải lên: 09/09/2015, 18:56

... norm · and K is a cone in E For y ∈ K, we have by H1 and the definition of K, max y s t∈ −τ,T max y t y t 3.7 t∈ 1,T For every y ∈ ∂Kp , s ∈ 1, T , and k ∈ −τ, , by the definition of K and 3.5 ... ξ, η ∈ 1, T and ξ < η, < τ < T , Δu t u t − u t , Δ2 u t R × Cτ → R is a continuous function, h ∈ Cτ and h t ≥ h ≥ for t ∈ −τ, , α, β, and γ are nonnegative real constants, and r t ≥ for t ∈ 1, ... and A Peterson, “Boundary value problems for functional difference equations,” Applied Mathematics Letters, vol 9, no 3, pp 57–61, 1996 S J Yang, B Shi, and M J Gai, “Boundary value problems for...

Ngày tải lên: 21/06/2014, 11:20

... vancomycin-intermediate and vancomy- of large amounts of gentamicin sulphate into acrylic bone cement: effect on cin-resistant Chemother handling and mechanical properties, antibiotic release, and biofilm formation ... concentrations for elimination18 and such usually are inaccessible for systemic antibiotic therapy as well as for antibiotics released from PMMA 19,20 Debridement Radical debridement is prerequisite for ... defects and performs favourably in two stage revisions of THR 29 However, unvascular- 249 ized bone grafts are at risk to become contaminated and need protection as well When loading bone grafts...

Ngày tải lên: 26/10/2012, 09:53

... flexibility, and the simplicity of CSS-based layout and design If you’re already comfortable with XHTML and CSS, you’re ready to add JavaScript functionality for form validation and animation ... kinds of features for creating and testing pages; the HTML Validator checks your pages for standards compliance; and the Firebug extension adds incredible features for JavaScript and AJAX debugging ... never been a form of communication like this before Anyone with access to a minimal PC and a little bit of knowledge can create his or her own homestead in one of the most exciting platforms in the...

Ngày tải lên: 15/02/2014, 19:20

... Sense of Her Health Problems Janet was in her midforties and felt worn down and much older because of a growing list of health problems She was overweight and prediabetic and had high blood pressure, ... and bone Many such injuries, such as falling and breaking a bone or musculoskeletal athletic injuries, can become the source of painful and debilitating lifelong health problems Former heavyweight ... supplement for a few days, and the pain returned I started taking the supplement again and the inflammation and pain went away and have never returned I walk and hike long distances without any discomfort...

Ngày tải lên: 15/03/2014, 04:20

... subspace of weight one holomorphic forms into the full spectrum of Maass forms of weight one At this point, we open (1.3) and convert the resulting sum into sums of THE SUBCONVEXITY PROBLEM FOR RANKIN-SELBERG ... particular, for all (n, q) = 1, √ ρf (n) n = ρf (1)λf (n), and for f primitive the relations (2.20), (2.21) and (2.22) are valid for all n Remark 2.1 For the classical weight k holomorphic modular forms ... Hyperbolic distribution problems and half-integral weight Maass forms, Invent Math 92 (1988), 73–90 [DFI1] W Duke, J Friedlander, and H Iwaniec, Bounds for automorphic L -functions, Invent Math...

Ngày tải lên: 22/03/2014, 16:20

... π c2 g1 · ΓIω ω g2 14 Problems and Solutions in Atomic, Nuclear and Particle Physics Introducing the form factor g(ω) and considering ω and Iω as average values in the band of g(ω), we can write ... catalogue record for this book is available from the British Library Major American Universities Ph.D Qualifying Questions and Solutions PROBLEMS AND SOLUTIONS ON ATOMIC, NUCLEAR AND PARTICLE PHYSICS ... , the wave functions change to Ψ = a1 Ψ211 + a2 Ψ21−1 + a3 Ψ210 18 Problems and Solutions in Atomic, Nuclear and Particle Physics Perturbation theory for degenerate systems gives for the perturbation...

Ngày tải lên: 24/04/2014, 16:54

... sharp estimate for the Fekete-Szegö functional for functions belonging to the class Ks (ϕ) In addition, we also investigate the corresponding problem for the inverse functions for functions belonging ... function; for example, this leads to the distortion and growth estimates for univalent functions as well as the rotation theorem In the next theorem, we derive the distortion and growth estimates for ... ∈ ) for an analytic function w with w(0) = and |w(z)| < which is sharp for the functions w(z) = z2 or w(z) = z, the desired result follows upon using the estimate that | g3 − g2 /2 | ≤ 1/2 for...

Ngày tải lên: 20/06/2014, 22:20

... ||y||q , ∀x, y ∈ E Existence and uniqueness of solutions for (SGQVI) In this section, we shall investigate the existence and uniqueness of solutions for (SGQVI) in q-uniformly smooth Banach space ... operator technique to find the common solutions for a generalized system of relaxed cocoercive mixed variational inequality problems and fixed point problems for Lipschitz mappings in Hilbert spaces ... ||x||q-2J(x) for x ≠ 0, Jq(tx) = tq-1Jq(x), and Jq(-x) = -Jq(x) for all x Î Page of 14 Chen and Wan Journal of Inequalities and Applications 2011, 2011:49 http://www.journalofinequalitiesandapplications.com/content/2011/1/49...

Ngày tải lên: 21/06/2014, 00:20

... explicit bounds for the solutions of Eq (1) under some suitable conditions Then, some results about the uniqueness and continuous dependence on the functions g1, F1i, F2i, G1i, G2i of the solutions ... qualitative and quantitative properties of the solutions of Eq (1), which has more complicated form than the example presented in [3], the results provided by the earlier inequalities are inadequate and ... research of solutions of certain difference equations, if the solutions are unknown, then it is necessary to study their qualitative and quantitative properties such as boundedness, uniqueness, and continuous...

Ngày tải lên: 21/06/2014, 00:20

... E is uniformly smooth, E* is uniformly convex, by Remark 2.1(v) For any given p ∈ F, any n ≥ and any positive integer j, by (C2) and Lemma 2.5, we have Qu and Cheng Fixed Point Theory and Applications ... method for mixed equilibrium problems and fixed point problems Math Comput Model 2009, 49:1816-1828 Peng JW, Yao JC: A viscosity approximation scheme for system of equilibrium problems, nonexpansive ... mappings and monotone mappings Nonlinear Anal Theory Methods Appl 2009, 71:6001-6010 Cianciaruso F, Marino G, Muglia L: Iterative methods for equilibrium and fixed point problems for nonexpansive...

Ngày tải lên: 21/06/2014, 01:20

... other hand, Bianchini and Grandolfi proved in 29 the following fixed point theorem Theorem 3.2 Bianchini and Grandolfi 29 Let X, d be a complete metric space and let T : X → X be a map such that for ... fixed point theorem for Q -functions and multivalued maps on T0 quasipseudometric spaces, by using Bianchini-Grandolfi gauge functions in the sense of 24 Our result generalizes and improves, in several ... Page that if ϕ is a Bianchini-Grandolfi gauge function, then ϕ t < t, for all t > 0, and hence ϕ 0 Our next result generalizes Bianchini-Grandolfi’s theorem for Q -functions on complete T0 qpm spaces...

Ngày tải lên: 21/06/2014, 05:20

... and the Beijing Foundation Program under Grants no 201010009009, no 2010D005002000002 References C E Guti´ rrez, A Incognito, and J L Torrea, “Riesz transforms, g -functions, and multipliers for ... 2.1, we can prove Theorem 2.2 a For k ∈ N and f ∈ L2 K , there exists Ck > such that H Gk f α,2 Ck f α,2 2.15 b For < p < ∞ and f ∈ Lp K , there exist constants C1 and C2 , such that C1 f c If ... that gk f α,2 Ck f α,2 2.2 b For < p < ∞ and f ∈ Lp K , there exist positive constants C1 and C2 , such that C1 f c If k > α α,p ≤ gk f α,p ≤ C2 f α,p 2.3 /2 and f ∈ Lp K , p > 2, then there...

Ngày tải lên: 21/06/2014, 06:20

... existence of spatial periodic solutions of both the EFK equation and the SH equation was studied by Peletier and Troy , Peletier and Rottsch¨ fer a , Tersian and Chaparova , and other authors More precisely, ... t and u2 t are positive solutions of BVP 1.6 - 1.7 and ≤ u1 ≤ p ≤ u2 The proof is completed Theorem 4.2 If f < L and f ∞ < L and H4 is satisfied, then BVP 1.6 - 1.7 has at least two positive solutions: ... − i A, Kr , K −1 Therefore, A has the fixed points u1 and u2 in Kp \ Kr and KR \ Kp , respectively, which means that u1 t and u2 t are positive solutions of BVP 1.6 - 1.7 and ≤ u1 ≤ p ≤ u2 The...

Ngày tải lên: 21/06/2014, 11:20

... interesting and important class of problems They include two, three, multipoint and nonlocal boundary-value problems as special cases The existence and multiplicity of positive solutions for such problems ... is satisfied: a Ax ≥ x , for all x ∈ P ∩ ∂Ω1 , and Ax ≤ x , for all x ∈ P ∩ ∂Ω2 ; b Ax ≤ x , for all x ∈ P ∩ ∂Ω1 , and Ax ≥ x , for all x ∈ P ∩ ∂Ω2 Then, A has at least one fixed point in P ∩ Ω2 ... upper and lower bounds of positive solutions for nonlinear higher-order boundary value problems see, e.g., 33, 34, 39–43, 46, 48, 49 and their references For example, we consider the following problems: ...

Ngày tải lên: 21/06/2014, 16:20

... other hand, Bianchini and Grandolfi proved in 29 the following fixed point theorem Theorem 3.2 Bianchini and Grandolfi 29 Let X, d be a complete metric space and let T : X → X be a map such that for ... fixed point theorem for Q -functions and multivalued maps on T0 quasipseudometric spaces, by using Bianchini-Grandolfi gauge functions in the sense of 24 Our result generalizes and improves, in several ... Page that if ϕ is a Bianchini-Grandolfi gauge function, then ϕ t < t, for all t > 0, and hence ϕ 0 Our next result generalizes Bianchini-Grandolfi’s theorem for Q -functions on complete T0 qpm spaces...

Ngày tải lên: 21/06/2014, 17:20