... Difference Equations Volume 2010, Article ID 197263, 11 pagesdoi:10.1155/2010/197263Research ArticleExistence and Uniqueness of PeriodicSolutions for a Class ofNonlinearEquations with p-Laplacian-Like ... following nonlinearequationswith p-Laplacian-like operators ϕxtfxtxtgxt et: some criteria to guarantee the existence and uniqueness of periodicsolutions of the ... uniqueness of periodicsolutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729,2008.1. IntroductionIn this paper, we deal with the existence and uniqueness of...
... decay of solutions for a quaslinear systemof viscoelastic equations. Nonlinear Anal. 71, 2257–2267(2009). doi:10.1016/j.na.2009.01.06022. Agre, K, Rammaha, MA: Systems ofnonlinear wave equations ... Messaoudi, SA, Said-Houari, B: Global nonexistence of positive initial-energy solutions of a systemof nonlinear viscoelastic wave equationswith damping and source terms. J. Math. Anal. Appl. ... doi:10.1002/mma.34019. Han, XS, Wang, WM: Global existence and blow-up of solutions for a systemofnonlinear viscoelastic wave equations with damping and source. Nonlinear Anal. 71, 5427–5450 (2009). doi:10.1016/j.na.2009.04.03120....
... 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.irDepartment of Mathematics,College of Sciences, ShirazUniversity, Shiraz, 71454, IranAbstractThis paper is concerned with investigating the spatial behavior of solutions for aclass of hyperbolic equations ... 2011:19http://www.boundaryvalueproblems.com/content/2011/1/19Page 6 of 9 RESEARC H Open AccessSpatial estimates for a class of hyperbolic equations withnonlinear dissipative boundaryconditionsFaramarz Tahamtani*and...
... Difference Equations 2011, 2011:10http://www.advancesindifferenceequations.com/content/2011/1/10Page 9 of 13 RESEARC H Open AccessPositive solutions for a coupled system of nonlinear differential equations ... of author information isavailable at the end of the articleAbstractIn 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 ofnonlinear fractional...
... uniqueness of the solutions are obtained.Keywords: systems of elliptic equations, degenerate elliptic equations, boundaryvalue problems, Dirichlet type problem1 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 ... 2011:16http://www.boundaryvalueproblems.com/content/2011/1/16Page 5 of 11 RESEARC H Open AccessOn the solvability conditions of the firstboundary value problem for a systemof elliptic equations that strongly degenerate at...
... argument θ of the complex root is a rational multiple of π, the system is globally periodic.4.4. Stability of Fixed PointsWe 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 ofNonlinear Difference Equationsof Higher Order with Applications, vol. 256 of Mathematics and Its Applications, Kluwer Academic Publishers,...
... Wm,p-Solutions of Degenerate Elliptic Equations We start with an abstract regularity result which is useful for the existence problem of Wm,pΩ-solutions of degenerate quasilinear elliptic equationsof ... Value Problems 23References1 M. V. Keldys, “On certain cases of degeneration ofequationsof elliptic type on the boundry of adomain,” 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 equationswith doubledegenerate,”...
... Stability in Nonlinear Equationswith Variable DelaysLiming Ding,1, 2Xiang Li,1and Zhixiang Li11Department of Mathematics and System Science, College of Science,National University of Defence ... properly cited.We consider two nonlinear scalar delay differential equationswith variable delays and give somenew conditions for the boundedness and stability by means of the contraction mapping ... and inverses of delays,” Proceedings of the RoyalSociety of Edinburgh. Section A, vol. 136, no. 2, pp. 245–275, 2006.4 C. Jin and J. Luo, “Stability in functional differential equations established...
... applications to a systemof variationalinequalities,” 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 ... theresolvent operator technique associated with s-G, η-maximal monotone operators and Banachcontraction principle, we demonstrate the existence and uniqueness of solution for the system of nonlinear ... pagesdoi:10.1155/2009/609353Research ArticleThe Solvability of a New Systemof Nonlinear Variational-Like InclusionsZeqing Liu,1Min Liu,1Jeong Sheok Ume,2and Shin Min Kang31Department of Mathematics, Liaoning Normal...
... reducibility of 1.1 into the form of 1.5 and then obtain asymptotic stability of the zero solution of 1.1.2. Reducible systemsIn this section, we give a theorem on the structure of the matrix ... BohnerWe first give a theorem on the reducibility of linear systemof difference equationsof the formxn 1Anxn. Next, by the means of Floquet theory, we obtain some stability results.Moreover, ... “Periodic solutions ofnonlinear 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...
... Ministry of Absorption and by the NSERC Research Grant.References1 V. L . K oci´c and G. Ladas, Global Behavior ofNonlinear Difference Equationsof Higher Order with Applications, vol. 256 of ... difference equationswith variabledelay,” 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 specificfor difference equations. The first approach is reducing a solution of a delay differenceequation to the values of a solution of a delay differential equation with piecewise constantarguments...