systems of nonlinear equations in three variables

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Ngày tải lên: 22/06/2014, 18:20

... 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

... 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 . ... 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 ... 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...

Ngày tải lên: 14/02/2014, 17:20

... 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

... that the fixed points 0, ± √ α 2  are not attracting, since every solution starting on the line x  0 is 2-periodic. Remark 4.8. It is interesting to notice that, in the three cases in which there ... 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 ... nonnegative. 2. Preliminaries and First Results Systems of linear fractional difference equations X n1  FX n  in which denominators are common for all the components of F have been studied in 8. If...

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 ... of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators Hui-Sheng Ding, Guo-Rong Ye, and Wei Long College of Mathematics and Information Science, Jiangxi Normal ... 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...

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... below). For information about publishing your research in Advances in Difference Equations go to http://www.advancesindifferenceequations.com/authors/instructions/ For information about other SpringerOpen ... mh@yahoo.com; esam mh@almos.vein.hu Abstract In this article, we investigate the boundedness property of the solutions of linear and nonlinear discrete Volterra equations in both convolution and non-convolution ... perturbation. In most of our references linear and perturbed linear equations are investigated, moreover the boundedness and estimation of the solutions are founded by using the resolvent of the equations. This...

Ngày tải lên: 20/06/2014, 20:20

... equation, while in the second example, we will obtain the bound of the solutions of an integral equation. For the sake of proving the global existence of solutions of differential equations, we first ... validity of the present integral inequalities. 2 Main results In the rest of the paper we denote the set of real numbers as R,andR + =[0,∞)isa subset of R. Dom(f)andIm(f) denote the definition domain ... article as: Zheng and Feng: Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations. Journal of Inequalities and Applications 2011...

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