systems of nonlinear equations in two variables

Ngày tải lên: 22/06/2014, 18:20

... (1.75), since In α ≈ α Ϫ1. In a wide range of concentrations in non-withdrawal mode, instead of eq. (1.82) the fol- lowing expression is obtained: (1.84) where For 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 rings with 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,...

Ngày tải lên: 01/06/2014, 10:54

... crucial role. In this study, we use the Thompson metric introduced by Thomp son [5] for the study of solutions to systems of nonlinear matrix equations involving contractive mappings. We first ... 2011:89 http://www.fixedpointtheoryandapplications.com/content/2011/1/89 Page 2 of 10 RESEARC H Open Access Solving systems of nonlinear matrix equations involving Lipshitzian mappings Maher Berzig * and Bessem Samet * Correspondence: maher. berzig@gmail.com Université ... Hussein-Tunis, B.P. 56, 1008 Bab Menara, Tunisia Abstract In this study, both theoretical results and numerical methods are derived for solving different classes of systems of nonlinear matrix equations...

Ngày tải lên: 20/06/2014, 22:20

Ngày tải lên: 07/08/2014, 15:23

... analytically continue any solution Y(ζ) of (5.1) or (5.2) along a closed path γ in C avoiding the singular points {x k } then the columns of Y will change into their linear combinations: Y →YM γ . ... periodic matrix P , which contains all integrals of motion in the case of difference equations, gives only the monodromy information at in nity and does 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...

Ngày tải lên: 14/02/2014, 17:20

... 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 after eliminating the influence of other factors, risk of disability increased in ... Health problems of the elderly in rural south 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...

Ngày tải lên: 05/03/2014, 21:20

... 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( ←− M m−1 )={z ∈ D : ∃w such that (z,w) is an intersecting zero of p}, Σ(z n E m−1 )={z ∈ C ∞ : ∃w such that (z,w) is an intersecting zero of p} ⊂ C ∞ \ T. In particular, ... an intersecting zero of p}, Σ( ←− ˜ M n−1 )={w ∈ D : ∃z such that (z, w) is an intersecting zero of p}, Σ(w m ˜ E n−1 )={w ∈ C ∞ : ∃z such that (z, w) is an intersecting zero of p} ⊂ C ∞ \ T. In...

Ngày tải lên: 22/03/2014, 16:20

... 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 St. Therefore, f  t  : S  t  x 2.38 is bounded and uniformly continuous on 0, ∞. In addition, the half-line spectrum set of ft is just the following set:  iη ∈ ... result will be obtained by a different point of view. Example 3.1. We reconsider Example 2.1.First,wenotethat α  β  0. 3.1 Advances in Difference Equations 7 then by 2.21 we obtain x   α  β...

Ngày tải lên: 21/06/2014, 05:20

... the solutions starting on a point of the line x  0 are prime period -two solutions except the two equilibrium points 0, ± √ α 2 , c the solutions starting on a point of the lines β 2 x α 2 − ... β 2 x 0 /y 0 . 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 result concerning 2-periodic ... there are two equilibrium points 0, ±β 1 , b the equilibrium point 0,β 1  attracts every complete solution not starting on a point of the line x  0, c the solutions starting on a point x 0 ,y 0 ...

Ngày tải lên: 21/06/2014, 05:20

... supported by the NSF of China, the NSF of Jiangxi Province of China 2008GQS0057, the Youth Foundation of Jiangxi Provincial Education 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 is increasing on R. Recall that p-Laplacian equations have been of great interest ... unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We investigate the following nonlinear equations with p-Laplacian-like operators ϕx  t   fxtx  tgxt...

Ngày tải lên: 21/06/2014, 18:20

... for Systems of Nonlinear Second-Order Differential Equations on In nite Intervals in Banach Spaces Xingqiu Zhang School of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, China Correspondence ... 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...

Ngày tải lên: 21/06/2014, 20:20

... 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 and Applications, ... 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 Mathematical Analysis ... 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....

Ngày tải lên: 22/06/2014, 00:20

... Andrzej Szulkin We 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. References 1 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 preliminaries The study of functional equations stability originated from a question of Ulam 1940 concern- ing...

Ngày tải lên: 22/06/2014, 06:20

... f  λ  σ(1) 0 G  σ(s),r  b(r)g  u  σ(r)  Δr  Δs (3.11) Hindawi Publishing Corporation Advances in Difference Equations Volume 2007, Article ID 31640, 10 pages doi:10.1155/2007/31640 Research Article Eigenvalue Problems for Systems of Nonlinear ... ∩ ∂Ω 2 . (3.45) In either cases, application of part (ii) of Theorem 2.1 yields a fixed point u of T be- longing to ᏼ ∩ (Ω 2 \ Ω 1 ), which in turn yields a pair (u,v) satisfying (1.2), (1.3)forthe chosen ... [20–24]. ThemaintoolinthispaperisanapplicationoftheGuo-Krasnosel’skiifixedpoint- theorem for operators leaving a Banach space cone invariant [12]. A Green function plays a fundamental role in defining an appropriate...

Ngày tải lên: 22/06/2014, 06:20

... 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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