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... Difference Equations Volume 2010, Article ID 197263, 11 pages doi:10.1155/2010/197263 Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like ... following nonlinear equations with p-Laplacian-like operators ϕx  t   fxtx  tgxt  et: some criteria to guarantee the existence and uniqueness of periodic solutions of the ... uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008. 1. Introduction In this paper, we deal with the existence and uniqueness of...

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... decay of solutions for a quaslinear system of viscoelastic equations. Nonlinear Anal. 71, 2257–2267 (2009). doi:10.1016/j.na.2009.01.060 22. Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... Messaoudi, SA, Said-Houari, B: Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. J. Math. Anal. Appl. ... doi:10.1002/mma.340 19. Han, XS, Wang, WM: Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source. Nonlinear Anal. 71, 5427–5450 (2009). doi:10.1016/j.na.2009.04.031 20....

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... directed to the study of spatial behavi or of solutions of partial differential equations and systems. The history and developmen t of this question is explained in the work of Horgan and Knowles ... Correspondence: tahamtani@shirazu.ac.ir Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71454, Iran Abstract This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations ... 2011:19 http://www.boundaryvalueproblems.com/content/2011/1/19 Page 6 of 9 RESEARC H Open Access Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions Faramarz Tahamtani * and...

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... Difference Equations 2011, 2011:10 http://www.advancesindifferenceequations.com/content/2011/1/10 Page 9 of 13 RESEARC H Open Access Positive solutions for a coupled system of nonlinear differential equations ... of author information is available at the end of the article Abstract In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equ ations of ... intensive development of the theory of fractional calculu s its elf and applications, see [1-6]. Recently, there are a large number of papers dealing with the existence of solutions of nonlinear fractional...

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... uniqueness of the solutions are obtained. Keywords: systems of elliptic equations, degenerate elliptic equations, boundary value problems, Dirichlet type problem 1 Introduction and statement of the ... investigation of the systems of degenerate elliptic equations. Some results for weakly related degenerate elliptic systems are obtained i n [5-7]. Particularly, these articles deal with Dirichlet ... 2011:16 http://www.boundaryvalueproblems.com/content/2011/1/16 Page 5 of 11 RESEARC H Open Access On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at...

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... argument θ of the complex root is a rational multiple of π, the system is globally periodic. 4.4. Stability of Fixed Points We finish this section with the complete study of the stability of the fixed ... good example of both facts is Ricatti difference equations; the richness of the dynamics of Ricatti equations is very well-known see, e.g., 1, 2, and a particular case of these equations provides ... 1996. 5 V. L. K oc i ´ c and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, vol. 256 of Mathematics and Its Applications, Kluwer Academic Publishers,...

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... W m,p -Solutions of Degenerate Elliptic Equations We start with an abstract regularity result which is useful for the existence problem of W m,p Ω-solutions of degenerate quasilinear elliptic equations of ... Value Problems 23 References 1 M. V. Keldys, “On certain cases of degeneration of equations of elliptic type on the boundry of a domain,” Doklady Akademii Nauk SSSR, vol. 77, pp. 181–183, 1951. 2 ... elliptic equations, ” Electronic Journal of Differential Equations, no. 87, pp. 1–13, 2002. 6 S. H. Li, “The first boundary value problem for quasilinear elliptic-parabolic equations with double degenerate,”...

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... Stability in Nonlinear Equations with Variable Delays Liming Ding, 1, 2 Xiang Li, 1 and Zhixiang Li 1 1 Department of Mathematics and System Science, College of Science, National University of Defence ... properly cited. We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping ... and inverses of delays,” Proceedings of the Royal Society of Edinburgh. Section A, vol. 136, no. 2, pp. 245–275, 2006. 4 C. Jin and J. Luo, “Stability in functional differential equations established...

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... applications to a system of variational inequalities,” Bulletin of the Australian Mathematical Society, vol. 59, no. 3, pp. 433–442, 1999. 2 Y. J. Cho and X. Qin, “Systems of generalized nonlinear ... the resolvent operator technique associated with s-G, η-maximal monotone operators and Banach contraction principle, we demonstrate the existence and uniqueness of solution for the system of nonlinear ... pages doi:10.1155/2009/609353 Research Article The Solvability of a New System of Nonlinear Variational-Like Inclusions Zeqing Liu, 1 Min Liu, 1 Jeong Sheok Ume, 2 and Shin Min Kang 3 1 Department of Mathematics, Liaoning Normal...

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... reducibility of 1.1 into the form of 1.5 and then obtain asymptotic stability of the zero solution of 1.1. 2. Reducible systems In this section, we give a theorem on the structure of the matrix ... Bohner We first give a theorem on the reducibility of linear system of difference equations of the form xn  1Anxn. Next, by the means of Floquet theory, we obtain some stability results. Moreover, ... “Periodic solutions of nonlinear second-order difference equations, ” Advances in Difference Equations, vol. 2005, no. 2, pp. 173–192, 2005. 3 S. N. Elaydi, An Introduction to Difference Equations, Undergraduate...

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... Ministry of Absorption and by the NSERC Research Grant. References 1 V. L . K oci ´ c and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, vol. 256 of ... difference equations with variable delay,” Dynamics of Continuous, Discrete and Impulsive Systems, vol. 6, no. 3, pp. 307–317, 1999. 12 V. V. Malygina and A. Y. Kulikov, “On precision of constants ... are specific for difference equations. The first approach is reducing a solution of a delay difference equation to the values of a solution of a delay differential equation with piecewise constant arguments...

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