systems of nonlinear equations in two variables
separation of isotopes of biogenic elements in two-phase systems
... (1.75), since In α≈ αϪ1. In a wide range of concentrations in non-withdrawal mode, instead of eq. (1.82) the fol-lowing expression is obtained:(1.84)whereFor the withdrawal of first kind at ... interest are the CHEX reactions in gas–liquid systems. A distinguishing feature of the kinetics study in such systems is that,unlike systems with a solid phase, the surface of phase contact here is ... the packing in the shape of ringswith a vertical partition made of brass or steel mesh (metal mesh rings or MMR).Table 1.1 presents the characteristics of fine packing. Among regular packings,...
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Báo cáo hóa học: " Solving systems of nonlinear matrix equations involving Lipshitzian mappings" pdf
... crucialrole. In this study, we use the Thompson metric introduced by Thomp son [5] for thestudy of solutions to systems of nonlinear matrix equations involving contractivemappings.We first ... 2011:89http://www.fixedpointtheoryandapplications.com/content/2011/1/89Page 2 of 10 RESEARC H Open AccessSolving systems of nonlinear matrix equations involving Lipshitzian mappingsMaher Berzig*and Bessem Samet* Correspondence: maher.berzig@gmail.comUniversité ... Hussein-Tunis, B.P. 56, 1008Bab Menara, TunisiaAbstract In this study, both theoretical results and numerical methods are derived for solvingdifferent classes of systems of nonlinear matrix equations...
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Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx
... analytically continue any solution Y(ζ) of (5.1) or (5.2) along aclosed path γ in C avoiding the singular points {xk} then the columns of Ywill change into their linear combinations: Y →YMγ. ... periodic matrix P , which contains all integrals of motion in the case of difference equations, gives only the monodromy information at in nity anddoes not carry any information about local monodromies ... such systems of difference equations. In the case of one-interval gap probability this has been done (in a different language) in [Bor], [BB]. One example of the probabilistic models in question...
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Health Problems and Disability of Elderly Individuals in Two Population Groups from Same Geographical Location docx
... of daily living-instrumental activity of daily living (ADL-IADL) without help e.g. dressing, transferring from bed,toileting or taking bath, preparation of food, eating,shopping and walking.Height ... Although in bi-variate analysis no gender difference was detected in disability, yet in logistic regression analysis aftereliminating the influence of other factors, risk of disability increased in ... Health problems of the elderly in ruralsouth India. Indian Journal of Community Medicine 1990;15:70-3.8. Khokhar A, Mehra M. Life style and morbidity profile of geriatric population in an urbans...
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Đề tài " Positive extensions, Fej´erRiesz factorization and autoregressive filters in two variables " pot
... abuse of notation not to include the ordering of K in the notation of ←−p (z, w), but in all instances we will make clear what order on K applies(or, at least indicate which element of K appears ... is an intersecting zero of p},Σ(←−Mm−1)={z ∈ D : ∃w such that (z,w) is an intersecting zero of p},Σ(znEm−1)={z ∈ C∞: ∃w such that (z,w) is an intersecting zero of p}⊂ C∞\ T. In particular, ... an intersecting zero of p},Σ(←−˜Mn−1)={w ∈ D : ∃z such that (z, w) is an intersecting zero of p},Σ(wm˜En−1)={w ∈ C∞: ∃z such that (z, w) is an intersecting zero of p}⊂ C∞\ T.In...
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Báo cáo hóa học: " Research Article Strong Stability and Asymptotical Almost Periodicity of Volterra Equations in Banach Spaces" potx
... of linear Volterra integro-differential equations, ” Mathematical Models & Methods in Applied Sciences, vol. 18, no. 1, pp. 21–45, 2008.2 L. Pandolfi, “Riesz systems and controllability of ... the boundedness of St.Therefore,ft: Stx 2.38is bounded and uniformly continuous on 0, ∞. In addition, the half-line spectrum set of ftis just the following set:iη ∈ ... result willbe obtained by a different point of view.Example 3.1. We reconsider Example 2.1.First,wenotethatα β 0. 3.1 Advances in Difference Equations 7then by 2.21 we obtainx α β...
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Báo cáo hóa học: " Research Article Dynamics of a Rational System of Difference Equations in the Plane" pot
... the solutions starting on a point of the line x 0 are prime period -two solutions exceptthe two equilibrium points 0, ±√α2,c the solutions starting on a point of the lines β2x α2− ... β2x0/y0.Our main goal will be to give a description of the dynamics of the system in terms of the eigenvalues of the associated matrix A given in 2.2. We begin with the f ollowing resultconcerning 2-periodic ... there are two equilibrium points 0, ±β1,b the equilibrium point 0,β1 attracts every complete solution not starting on a point of the line x 0,c the solutions starting on a point x0,y0...
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báo cáo hóa học:" Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators" doc
... supported by the NSF of China, the NSF of Jiangxi Province of China 2008GQS0057, the Youth Foundation of Jiangxi ProvincialEducation Department GJJ09456, and the Youth Foundation of Jiangxi Normal ... Advances in Difference Equations It is obvious that under these two conditions, ϕ is an homeomorphism from R onto R and isincreasing on R.Recall that p-Laplacian equations have been of great interest ... unrestricted use, distribution, andreproduction in any medium, provided the original work is properly cited.We investigate the following nonlinear equations with p-Laplacian-like operators ϕxtfxtxtgxt...
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báo cáo hóa học:" Research Article Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear " doc
... for Systems of Nonlinear Second-Order Differential Equations on In niteIntervals in Banach SpacesXingqiu ZhangSchool of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, ChinaCorrespondence ... recently, by using Shauder fixed point theorem, Guo 15 obtained the existence of positive solutions for a class of nth-order nonlinear impulsive singular integro-differential equations in a Banach ... Deimling, Ordinary Differential Equations in Banach Spaces, vol. 596 of Lecture Notes in Mathematics,Springer, Berlin, Germany, 1977.3 V. Lakshmikantham and S. Leela, Nonlinear Differential Equations...
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Báo cáo hóa học: " Research Article Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales" pptx
... Zhou and Y. Xu, “Positive solutions of three-point boundary value problems for systems of nonlinear second order ordinary differential equations, ” Journal of Mathematical Analysis andApplications, ... problems,” Nonlinear Analysis: Theory, Methods & Applications, vol. 42, no. 6, pp. 1003–1010, 2000.[23] H. Wang, “On the number of positive solutions of nonlinear systems, ” Journal of MathematicalAnalysis ... vol. 46, no. 1, pp. 75–86, 2003.[19] G. Infante and J. R. L. Webb, “Loss of positiv i ty in a nonlinear scalar heat equation,” Nonlinear Differential Equations and Applications, vol. 13, no....
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Báo cáo hóa học: " Research Article Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable" ppt
... Andrzej SzulkinWe discuss on the generalized Ulam-Hyers stability for functional equations in a single variable,including the nonlinear functional equations, the linear functional equations, ... suggestions in improving this paper.References1 D. H. Hyers, “On the stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, ... in any medium, provided the original work is properly cited.1. Introduction and preliminariesThe study of functional equations stability originated from a question of Ulam 1940 concern-ing...
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Báo cáo hóa học: " Research Article Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales" potx
... fλσ(1)0Gσ(s),rb(r)guσ(r)ΔrΔs(3.11) Hindawi Publishing CorporationAdvances in Difference Equations Volume 2007, Article ID 31640, 10 pagesdoi:10.1155/2007/31640Research ArticleEigenvalue Problems for Systems of Nonlinear ... ∩ ∂Ω2. (3.45) In either cases, application of part (ii) of Theorem 2.1 yields a fixed point u of T be-longing to ᏼ∩ (Ω2\ Ω1), which in turn yields a pair (u,v) satisfying (1.2), (1.3)forthechosen ... [20–24].ThemaintoolinthispaperisanapplicationoftheGuo-Krasnosel’skiifixedpoint-theorem for operators leaving a Banach space cone invariant [12]. A Green function playsa fundamental role in defining an appropriate...
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Báo cáo hóa học: " Research Article On the Solutions of Systems of Difference Equations" ppt
... solutions of a system of two nonlinear difference equations, ” Communications on Applied Nonlinear Analysis, vol. 5, no. 2, pp. 47–59, 1998.10 G. Papaschinopoulos and C. J. Schinas, “Invariants for systems ... of lyness-type difference equations, ” Advances in Difference Equations, vol. 2007, Article ID 31272, 13 pages, 2007.12 B. Iri´canin and S. Stevi´c, “Some systems of nonlinear difference equations ... “Invariants for systems of two nonlinear difference equations, ”Differential Equations and Dynamical Systems, vol. 7, no. 2, pp. 181–196, 1999.11 G. Papaschinopoulos, C. J. Schinas, and G. Stefanidou,...
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