equation of tangent plane to a parametric surface

... osseointegration of greater than 15% among groups with a power greater than 80% and an alpha of 0.05, assuming a standard deviation of up to 11%. Results from four quadrants were averaged to obtain ... Joint Surg Am 2003, 85 -A: 885-889. 49. Herrera A, Canales V, Anderson J, Garcia-Araujo C, Murcia-Mazon A, Tonino AJ: Seven to 10 years followup of an anatomic hip prosthesis: an international study. ... inspection the surface texture of the P surface appear qualitatively more similar to the PHA surface when compared to the CHA surface. Hermida et al. Journal of Orthopaedic Surgery and Research 2010,...

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... Systems, Cambridge Academic, Cambridge, UK, 2009. 7 V. Lakshmikantham and A. S. Vatsala, “Basic theory of fractional differential equations,” Nonlinear Analysis. Theory, Methods & Applications, ... 2677–2682, 2008. 8 V. Daftardar-Gejji, “Positive solutions of a system of non-autonomous fractional differential equations,” Journal of Mathematical Analysis and Applications, vol. 302, no. 1, ... 56–64, 2005. 9 V. Daftardar-Gejji and S. Bhalekar, “Boundary value problems for multi-term fractional differential equations,” Journal of Mathematical Analysis and Applications, vol. 345, no....

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... Thus, in a process where air and water are in contact, water will always tend to adiabatic saturation temperature, as in the case of the adiabatic tunnel described before. To clarify what has been ... semi-indirect evaporative cooler made of ceramic pipes arranged vertically, whose aim is to take advantage of the possibilities to filter water of the ceramic material. The air stream that has to be cooled ... adiabatic saturation temperature of air. Air is cooled and humidified, gaining enthalpy. c- Water is at the adiabatic saturation temperature of inlet air. Air is cooled and humidified maintaining...

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... differentiation; rat; PC12 cells; signal transduction. Ciliary neurotrophic factor (CNTF) is a survival and differentiation factor for a variety of neuronal and glial cells. It has been proposed to act ... activities. Eur. Cyt. Netw. 8, 359–365. 36. Fukada, T., Hibi, M., Yamanaka, Y., Takahashi Tezuka, M., Fujitani, Y., Yamaguchi, T., Nakajima, K. & Hirano, T. (1996) Two signals are necessary ... mammalian cells. Hyper-CNTF has a calculated molecular mass of 60 kDa and apparent molecular mass of 85 kDa, the increase being most likely due to heavy glycosylation (four N-linked glycosylation...

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... implies a shorter angle than the magic angle [38]. If the plane of the disc equals the plane of the particle in the membrane, posit- ive and negative LD values indicate a small and large angle, ... complex preparation, the molecular stoichiometry of carotenoids appears to be less than that of chlorophyll. Because pure echinenone was not available as pigment standard, its relative content ... Koyama Y, Takii T, Saiki K & Tsukida K (1983) Con- figuration of the carotenoid in the reaction center of photosynthetic bacteria. 2. Comparison of the Reso- nance Raman lines of the reaction...

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... General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type. Differential Integral Equations. 18, 583–600 (2005) 16. Messaoudi, SA, Soufyane, A: Boundary ... nonlinear wave equations of Kirchhoff type with some dissipation. Nonlinear Anal TMA. 65, 243–264 (2006). doi:10.1016/j.na.2004.11.023 13. Yamada, Y: On some quasilinear wave equations with dissipative ... the case where M(s) = 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...

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... u(t, a) has a unique c ritical point c (a) in (a, b (a )), and at this point, u(t, a) obtains a local maximum value. Lemma 3.1 Assume that (F2) holds, then j(t, a) >0for all t ẻ (a, c (a) ). Proof. We ... slight modification to [8]. Lemma 3.2 Assume a ẻ N and f(t,u) satisfies (F1), then (H1) j(t ,a) vanishes at least once and at most finitely many times in (a, b (a) ), (H2) if 0< ;a 1 < ;a 2 , and at least ... 2011:38 http://www.boundaryvalueproblems.com/content/2011/1/38 Page 4 of 9 Since τ (a) to be the last zero of j(t, a )in (a, b (a) ), the behavior of j(t, a) in(τ (a) ,b (a) ) can be classified into two cases as follows: (i)...

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... Harjani and K Sadarangani * Correspondence: fefi@dma.ulpgc. es Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain Abstract The ... Fractional Differential Equations. Wiley, New York (1993) 10. Podlubny, I: Fractional Differential Equations. Academic Press, San Diego (1999) 11. Lakshmikantham, V, Vatsala, AS: Basic theory of fractional ... Zhao, Y, Sun, S, Han, Z, Li, Q: Positive solutions to boundary value problems of nonlinear fractional differential equations. Abs Appl Anal. 2011, Article ID390543 (2011) 19. Harjani, J, Sadarangani,...

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... fefi@dma.ulpgc. es Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain Abstract The purpose of this paper is to ... 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page 3 of 9 RESEA R C H Open Access On existence and uniqueness of positive solutions to a class of fractional boundary value problems J Caballero * , J Harjani and K Sadarangani * Correspondence: ... Fractional Differential Equations. Wiley, New York (1993) 10. Podlubny, I: Fractional Differential Equations. Academic Press, San Diego (1999) 11. Lakshmikantham, V, Vatsala, AS: Basic theory of fractional...

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... International Journal of Mathematics and Mathematical Sciences, no. 54, pp. 3413–3442, 2003. 2 J.Sabatier,O.P.Agrawal,andJ .A. TenreiroMachado,Advances in Fractional Calculus: Theoretical Developments ... Benchohra, J. Henderson, S. K. Ntouyas, and A . Ouahab, “Existence results for fractional order functional differential equations with infinite delay,” Journal of Mathematical Analysis and Applications, vol. ... Engineering Re-search Council of Canada NSERC and the Early Researcher Award ERA Pro-gram of Ontario. References 1 L. Debnath, “Recent applications of fractional calculus to science and engineering,”...

Ngày tải lên: 21/06/2014, 05:20

... Solutions to a Class of Singular Elastic Beam Equations Huiqin Lu School of Mathematical Sciences, Shandong Normal University , Jinan, 250014 Shandong, China Correspondence should be addressed to Huiqin ... advices and the Department of Math- ematics for providing research facilities. The author also thanks the anonymous referees for their careful reading of the first draft of the manuscript and making ... beam equation, ” Journal of Mathematical Analysis and Applications, vol. 248, no. 1, pp. 195–202, 2000. 10 D. Franco, D. O’Regan, and J. Per ´ an, “Fourth-order problems with nonlinear boundary...

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... difference equations can be considered as the discrete analog of classical Volterra-Fredholm type integral equations, which arise in the theory of parabolic boundary value problems , the mathematical ... 2011:30 http://www.advancesindifferenceequations.com/content/2011/1/30 Page 16 of 16 RESEARCH Open Access Qualitative and quantitative analysis for solutions to a class of Volterra-Fredholm type difference equation Bin ... respect to a parameter of solutions of a system of differential equations. Ann Math. 20, 292–296 (1919). doi:10.2307/1967124 6. Bellman, R: The stability of solutions of linear differential equations....

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... (systems) of quasi-variational inclusions, generalized (random) quasi- variational inclusions, quasi-variational inequalities, and implicit quasi-variational inequalities as special cases of the Equation ... operators, generalized m-accretive operators, maximal η-monotone operators, H-monotone operators, A- monotone operators, η-subdifferential op- erators or the classical m-accretive. The results obtained ... monotone operators, m-accretive operators, η-subdifferential operators, maximal η-monotone oper- ators, H-monotone operators, generalized m-accretive mappings, H-accretive operators, (H, η)-monotone...

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... Nonlinear Differential Equations and Their Applications, Birkh ă auser, Boston, Mass, USA, 1998. 8 S M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press, ... the stability of an equation of the square spiral,” Banach Journal of Mathematical Analysis, vol. 1, no. 2, pp. 148–153, 2007. 14 S M. Jung and J. M. Rassias, “Stability of general Newton functional ... of Ulam,” Acta Applicandae Mathematicae, vol. 62, no. 1, pp. 23–130, 2000. 12 S M. Jung and P. K. Sahoo, “Stability of a functional equation for square root spirals,” Applied Mathe- matics...

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