... weconsider a nonlinear first -order difference equation.2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second -order linear differential equations, ... Difference Equations Volume 2010, Article ID 594783, 19 pagesdoi:10.1155/2010/594783Research ArticleError Bounds for Asymptotic Solutions ofSecond -Order Linear Difference Equations II:The First ... to second order linear difference equations in the first case. For the second case, we leave it to the secondpart of this paper: Error Bound for Asymptotic Solutions of Second -order Linear DifferenceEquation...
... construction allows one to reduce questions concerning nth order inhomo-geneous equations to n +1st order homogeneous equations. 2. Some order one equations over C((z))Let C be an algebraically closed ... of linear differential equations (which we shall refer to simplyas differential Galois theory) is the analogue for linear differential equations ofthe classical Galois theory for polynomial equations. ... glimpse at order two equations gives an indication how this classification could be used for linear differential equations in characteristic 0. A more or less obvious observationis that these linear...
... concentrated on lower -order neutralfunctional differential equations, while studies on higher -order neutral functional differential equations are rather infrequent, especially on higher -order p-Laplacian ... second -order neutral functional differential equations, ” Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 677–689, 2007.10 M. R. Zhang, “Periodic solutions of linear ... Nonlinear Differential Equations, Lecture Notesin Mathematics, vol. 568, Springer, Berlin, Germany, 1977.13 M. Zhang, “Nonuniform nonresonance at the first eigenvalue of the p-Laplacian,” Nonlinear...
... value problem for second order nonlinearsingular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000.22 C. Corduneanu, Integral Equations and Applications, ... second order impulsivedifferential equations with advanced arguments,” Applied Mathematics and Computation, vol. 197, no.1, pp. 179–189, 2008.17 T. Jankowski, “Positive solutions to second order ... pagesdoi:10.1155/2011/654871Research ArticleMultiple Positive Solutions of Fourth -Order Impulsive DifferentialEquations with IntegralBoundary Conditions and One-Dimensionalp-LaplacianMeiqiang...
... available soon.Periodic boundary value problems for nonlinear first- order impulsive dynamic equations on time scalesAdvances in Difference Equations 2012, 2012:12 doi:10.1186/1687-1847-2012-12Da-Bin ... for first -order impulsive ordinary diffeer-ential equations. Nonlinear Anal. 51, 1223–1232 (2002)[11] Nieto, JJ, O’Regan, D: Variational approach to impulsive differential equations. Non- linear ... for first order periodic boundary value problem. Appl. Math.Comput. 158, 345–351 (2004)[39] Sun, JP, Li, WT: Positive solution for system of nonlinear first -order PBVPs on timescales. Nonlinear...
... text (HTML) versions will be made available soon.Minimal and maximal solutions to first- orderdifferentialequations withstate-dependent deviated argumentsBoundary Value Problems 2012, 2012:7 ... HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications. Hand-b ook of Differential Equations: Ordinary Differential Equations, vol. III.Elsevier/North-Holland, ... solutions),unfortunately often identified in the literature on lower and upper solutions. First- order differential equations with state-dependent deviated argu-ments have received a lot of attention...
... following first- order nonlinear integro -differential system with periodic boundary value conditions.x= f (t, x,(Kx)(t )), t ∈ [0 , 1];x(0) = x(1);(1:1)and first- order integro -differential ... problem for nonlinear firstorder ordinary differential equations. Math Inequal Appl. 6, 477–485 (2003)23. Luo, ZG, Shen, JH, Nieto, JJ: Antiperiodic boundary value problem for first -order impulsive ... Difference Equations 2011, 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17RESEARCH Open AccessSome new results for BVPs of first- order nonlinearintegro-differential...
... Article ID 507671, 25 pagesdoi:10.1155/2009/507671Research Article First- Order Singular and Discontinuous Differential Equations Daniel C. Biles1and Rodrigo L´opez Pouso21Department ... Differential Equations, vol. 231, no. 2, pp. 633–655, 2006.7 M. Cherpion, P. Habets, and R. L´opez Pouso, “Extremal solutions for first order singular problemswith discontinuous nonlinearities,” ... of first -order singular differential equations, ”Bulletin of the London Mathematical Society, vol. 40, no. 1, pp. 143–150, 2008.17 J. Chu and J. J. Nieto, “Recent results for second order singular...