FINITE DIFFERENCE SCHEMES WITH MONOTONE OPERATORS N C APREUTESEI Received 13 October 2003 and in doc

... a contradiction in (3.51). If R λ is unbounded, then dividing (3.51)byu λ N+ 1 − b and using condition (3.45)forx = u λ N+ 1 − b and y = u λ N+ 1 − u λ N , we arrive again at a contradiction. ... (1998), no. 2, 277–284. [4] , Existence principles for continuous and discrete equations on in nite intervals in B anach spaces,Math.Nachr.207 (1999), 5–19. [5] R. P. Agarwal, D. O’...

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... reasoning for z n = y n /y n  and g n = f n /y n . Passing to the limit on a sub- sequence n k (such that z n k → z 0 ) in the equality Lz n k = g n k and using the convergence g n k → 0, one ... 10]andadaptthem for in nite-dimensional difference operators. Copyright © 2005 Hindawi Publishing Corporation Advances in Difference Equations 2005:1 (2005) 1 13 D...

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... magnitude greater in chondroitin ABC endo- lyase than the chondroitin C lyase which acts on bonds containing 6-sulfated GalNAc residues. Thus, during cleavage, bonds involving a 4-sulfated GalNAc ... region of CS is a repeating disaccharide of glucuronic acid (GlcA) and N- acetylgalactosamine (GalNAc) [-4)GlcA(b1– 3)GalNAc(b1-] n , which may be O-sulfated on the C4 and ⁄ or C6 of...

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... equations in which no asymp- totic behavior is prescribed for the nonlinear term. 1. Introduction Many authors (beginning with Landesman and Lazer [1]) have studied resonance prob- lems for semilinear ... there is a renamed subsequence such that Vu  k → Vu 1 strongly in L 1 (Ω). Since V (x) > 0, there is another renamed subsequence such that u  k → u 1 a.e. in Ω. On the other h...

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... that these findings could be explained by an interaction between the N- and C- terminal domains in the intact Vpr protein resulting in steric hindrance in the C- terminal recognition motif [8,27]. Likewise, ... disease by inducing viral infection in nondividing cells such as monocytes and macrophages. To gain deeper insight of the structure–function relationship of Vpr, the inta...

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... bands in extinction and reflection spectra and in local field enhancement effects. Such nanoparticles periodi- cally arranged, may cause additional interesting effects. Besides, if nano- particles ... response known as two-photon excited (photo) luminescence (TPL) generated by inter-band transitions of d- band electrons into the conduction band. Preface xiii 4 1 Introduction Before turn...

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... onto C is nonexpansive. This fact actually characterizes Hilbert spaces and hence, it is not available in more general Banach spaces. In this connection, Alber 26 recently introduced a generalized ... the complexity involving the problem of finding an element of T −1 0 ∩  T −1 0 ∩ EP. 2. Preliminaries In the sequel, we denote the strong convergence, weak convergence and weak ∗...

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... as k →∞, and hence, u n+ n k → p ∗ n in C uniformly for n ∈ Z + as k →∞.Since u  n + n k +1  = F  n + n k ,u n+ n k  =  F  n + n k ,u n+ n k  − F  n + n k , p ∗ n  +  F  n + n k , p ∗ n  − G  n, ... and hence, x k n → y n for all n ≥ n 0 as k → ∞ .Clearly,y n 0 = φ and the set S α ∗ is compact set in C. SinceF (n, v) is almo...

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... Appl. Nonlinear Anal. 12 (2005), no. 2, 27–34. [4] F.DeutschandI.Yamada,Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings, Numer. Funct. Anal. ... al., Shioji and Takahashi, Xu, and Zhou et al. in certain Banach spaces and of Lions, O’Hara et al., and Wittmann in a framework of a Hilbert space, respectively. 1. Introduction L...

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... and N, and all domain decompositions, the convergence to the exact solution of the nonlinear difference scheme is monotonic. (ii) The convergence iteration count reflects the corresponding convergence ... arbitrary initial mesh function, one may construct a sequence of functions which converges monotonically to the exact solution of the nonlinear difference scheme. Each function in the se...

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