... 78363-8202, USA *Corresponding author: manuel.delasen@ehu.es Email address: RPA: Agarwal@tamuk.edu Abstract This article discusses three weak φ-contractive conditions of rational typefora class of ... equally and significantly in writing this paper All authors read and approved the final manuscript Acknowledgments The authors are grateful to the Spanish Ministry of Education for its partial ... mappings satisfying a contractive condition of rational type of partially ordered metric space Abstr Appl Anal 2010, Article ID 190701, (2010) doi:10.1155/2010/190701 [2] Harjani, J, Sadarangani,...
... boundary value problem for second dynamic equations on time scales J Math Anal Appl 296, 97–109 (2004) [5] Jiang, LQ, Zhou, Z: Lyapunov inequality for linear Hamiltonian systems J Math Anal Appl ... Pachpatte, BG: On Lyapunov -type inequalities for certain higher order differential equations J Math Anal Appl 195, 527–536 (1995) [9] Tang, XH, Zhang, M: Lyapunov inequalities and stability for ... type inequalities for second-order half-linear differential equations J Math Anal Appl 382, 792–801 (2011) 10 [12] Yang, X, Kim, Y, Lo, K: Lyapunov -type inequalities fora class of quasilinear systems...
... Harjani, J, Lopez, B, Sadarangani, K: A fixed point theorem for mappings satisfying a contractive condition of rational type of partially ordered metric space Abstr Appl Anal 2010, (2010) (Article ... 0 a (1 − α1 ) > − α1 and ® A ∪ A with >a ≥ 0, β1 = a0 a ≥ a1 ≥ a − A1 ∪ A2 a β1 = > It is noted that the condition (3.1) is not guarana0 − α1 teed to be contractive for any point of A1 It is also ... equality defining a circle Aa1 fora fixed a1 = a1 (x0, y0) ≤ a- a’ is defined below together with available point-dependent lower and upperbounds: De la Sen and Agarwal Fixed Point Theory and Applications...
... n, be an A- harmonic tensor in a domain M ⊂ Rn and ρ > Assume that < s < ∞ is a fixed exponent associated with the A- harmonic equation and w ∈ Ar M for some r > Then there exists a constant C, ... -averaging e domains,” Journal of Mathematical Analysis and Applications, vol 227, no 1, pp 200–215, 1998 B Liu, A Ω -weighted imbedding inequalities for A- harmonic tensors,” Journal of Mathematical ... Nonlinear Potential Theory of Degenerate Elliptic Equations, Oxford Mathematical Monographs, The Clarendon, Oxford, UK, 1993 15 E M Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and...
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... experimentally, as we used P1,P5-di(adenosine-5¢)-pentaphosphate (Ap 5A) as inhibitor of adenylate kinase to prevent depletion of available ATP and ADP and to maintain steady-state respiration Instead, ... the ATPtotal ⁄ ADPtotal ratio reflect changes in the ATPout ⁄ ADPout ratio Palmitoyl-CoA caused a significant concentration-dependent decrease in the ATPtotal ⁄ ADPtotal ratio and increase in [AMP]total, ... (Supplementary material, Table S2) and steady-state fluxes (Table and [16] for glutamate plus malate and succinate, respectively) Values are mean ± SEM from three (succinate) or four (glutamate plus malate)...
... no type I SPase typical for Gram-positive bacteria or for Gram-negative bacteria (such as LepB) has been identified in M pneumoniae, although a SPase I activity has been shown to be essential for ... concentration of the mL supernatant was about 25 mgÆmL)1 as measured with the Quick Start Bradford Protein Assay (BioRad, Hercules, CA, USA) using bovine serum albumin as standard It contained almost ... significantly from E coli and Gram-positive bacteria [36], a signal peptide of 70 amino acids is not in agreement with this multivariate data analysis Therefore, the simplest explanation would be that...
... method based on a modied partial thromboplastin time, using FXI-decient plasma as substrate (Hemoliance, Salt Lake City, UT) FXI antigen was measured by an ELISA based on a goat anti-human FXI afnity ... Solera J, Magallon M, Martin-Villar J & Coloma A (1991) Identication of a new haemophilia BM case produced by a mutation located at the carboxy terminal cleavage site of activation peptide Br J Haematol ... following supplementary material is available online: Fig S1 Comparison of the catalytic properties of recombinant and plasma-derived FXIa This material is available as part of the online article from...
... maintained at 0.30 M in all assays by the addition of KCl All kinetic parameters were determined in triplicate and average values are reported The reported errors are standard deviations Initial rate ... phosphoribosylpyrophosphate amidotransferase [25], and the same may be true for CTPS While the presence of a phenylalanine at position 109 may impede the appropriate conformational changes required for catalysis, ... Figs and Such ratios have been used to characterize the channelling efciency of amidotransferases [41] kcat =Km ịCTP formation Subsaturatingcouplingratioẳ kcat =Km ịglutaminase activity 2ị Saturatingcouplingratioẳ...
... scDNA (B) Ethidium stained agarose gel: lane 1, scDNA only; lane 2, no mAb; lanes 3–6, Bp53-10.1; lanes 7–10, ICA-9 mAb/p53 tetramer molar ratios: lanes and 7, 0.5; lanes and 8, 1.25; lanes and ... supernatants or ascites by means of affinity chromatography using either protein G-Sepharose (Pharmacia) or protein L-Sepharose (Pierce) horseradish peroxidase conjugated anti-rabbit IgG (Sigma) ... lanes and 7, no mAb; lanes and 8, DO-1; lanes and 9, ICA-9; lanes and 10, Bp53-6.1; lanes and 11, Bp53-10.1 Bands denoted as ÔscÕ and ÔocÕ correspond to free monomeric scDNA and open circular...
... global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms J Math Anal Appl 204, 729–753 (1996) doi:10.1006/jmaa.1996.0464 Nishihara, K, Yamada, Y: ... Cavalcanti, VN, Prates, JS, Soriano, JA: Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping Differential Integral Equations 14, 85–116 (2001) 19 Cavalcanti, ... = 1, Cavalcanti et al [14] investigated the existence and uniform decay of strong solutions of wave equation (1.1) with a nonlinear boundary damping of memory type and a nonlinear boundary source...
... be a bounded regular domain in Rn, n ≥ By a regular domain, we understand any domain of finite measure for which the estimates for the Hodge decomposition in (2.1) and (2.2) are satisfied A Lipschitz ... so-called reverse Hölder inequality Gao and Tian [3] gave a local regularity result for weak solutions to obstacle problem in 2004 Recently, regularity theory for very weak solutions of the A- harmonic ... Lipschitz domain, for example, is regular We consider the second-order degenerate elliptic equation (also called A- harmonic equation or Leray-Lions equation) divA(x, ∇u) = where A( x, ξ ) : assumptions...
... una trasformazione funzionale Rend Accad Lincei 11, 794–799 (1930) (Italian) Sintunavarat and Kumam Journal of Inequalities and Applications 2011, 2011:3 http://www.journalofinequalitiesandapplications.com/content/2011/1/3 ... (f, g) is tangential w.r.t (A, B), (c) f fa = fa, ggb = gb and Afa = Bgb fora Î C(f, A) and b Î C(g, B), (d) the pairs (f, A) and (g, B) are weakly compatible Then f, g, A, and B have a common ... is a weak tangent point to (f, g), (b) (f, g) is tangential w.r.t (A, B), (c) f fa = fa, ggb = gb and Afa = Bgb fora Î C(f, A) and b Î C(g, B), (d) the pairs (f, A) and (g, B) are weakly compatible...
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... Corollary 5.1 is valid for problem 5.4 satisfy 5.5 22 Boundary Value Problems Acknowledgment This work was supported for two years by Pusan National University Research Grant References S C Hu and ... solution at 0, s for all < s ≤ μ∗ Thus { 0, s | s > 0} ∩ A is a nonempty chain in A and by Lemma 3.7, it has unique supremum of the form 0, s∗ in A This implies that 3.20 has a positive solution at ... } Then AT , ≤ is bounded Define A { λ, μ ∈ R2 \ { 0, } | 3.20 has a positive solution at λ, μ } Then A / ∅ by Lemma 3.4 and A, ≤ is a partially ordered set Lemma 3.6 Assume D1 ∼ D6 Then A, ≤ is...
... by a suitable constant a, uniformly in x ∈ Ω Moreover, we also provide a localization of the solution by showing that for all r > we can choose the constant a in such way that there exists a solution ... Mathematics Studies, pp 284–346, North-Holland, Amsterdam, The Netherlands, 1978 C O Alves, F J S A Corrˆ a, and T F Ma, “Positive solutions fora quasilinear elliptic equation of e Kirchhoff type, ” ... & Mathematics with Applications, vol 49, no 1, pp 85–93, 2005 A Bensedik and M Bouchekif, “On an elliptic equation of Kirchhoff -type with a potential asymptotically linear at infinity,” Mathematical...
... Trans Am Math Soc 348, 305–330 (1996) [20] Cavalcante, MM, Cavalcante, VN, Soriano, JA: Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation Adv ... −∆p(x) u is said to be the p(x)-Laplacian, and becomes p-Laplacian when p(x) ≡ p (a constant) The p(x)-Laplacian possesses more complicated nonlinearities than the p-Laplacian; for example, it is ... Fan, XL, Zhao, D: On the Spaces Lp(x) and W m,p(x) J Math Anal Appl 263, 424–446 (2001) [15] Dai, G, Ma, R: Solutions fora p(x)-Kirchhoff type equation with Neumann boundary data Nonlinear Anal...
... invariant q-integral I−1 Journal of Inequalities and Applications ¨ Holder Type Inequality for Fermionic p-Adic Invariant q-Integrals In order to investigate the Holder type inequality for I−1 ... q-integrals,” Abstract and Applied Analysis, vol 2008, Article ID 295307, pages, 2008 L.-C Jang, S.-D Kim, D.-W Park, and Y.-S Ro, A note on Euler number and polynomials,” Journal of Inequalities and ... Fermionic p-adic invariant q-integrals on Zp ,” to appear in Rocky Mountain Journal of Mathematics, http://arxiv.org/abs/0804.4605 16 T Kim, “Symmetry p-adic invariant integral on Zp for Bernoulli and...