first order linear differential equations examples

Ngày tải lên: 23/06/2014, 00:20

... we consider 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 pages doi:10.1155/2010/594783 Research Article Error Bounds for Asymptotic Solutions of Second -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 second part of this paper: Error Bound for Asymptotic Solutions of Second -order Linear Difference Equation...

Ngày tải lên: 21/06/2014, 11:20

Ngày tải lên: 14/03/2014, 13:20

... construction allows one to reduce questions concerning n th order inhomo- geneous equations to n +1 st 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 simply as differential Galois theory) is the analogue for linear differential equations of the 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 observation is that these linear...

Ngày tải lên: 31/03/2014, 15:56

... concentrated on lower -order neutral functional 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 Notes in Mathematics, vol. 568, Springer, Berlin, Germany, 1977. 13 M. Zhang, “Nonuniform nonresonance at the first eigenvalue of the p-Laplacian,” Nonlinear...

Ngày tải lên: 21/06/2014, 16:20

... value problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 22 C. Corduneanu, Integral Equations and Applications, ... second order impulsive differential equations with advanced arguments,” Applied Mathematics and Computation, vol. 197, no. 1, pp. 179–189, 2008. 17 T. Jankowski, “Positive solutions to second order ... pages doi:10.1155/2011/654871 Research Article Multiple Positive Solutions of Fourth -Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang...

Ngày tải lên: 21/06/2014, 16:20

... available soon. Periodic boundary value problems for nonlinear first- order impulsive dynamic equations on time scales Advances in Difference Equations 2012, 2012:12 doi:10.1186/1687-1847-2012-12 Da-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 time scales. Nonlinear...

Ngày tải lên: 21/06/2014, 17:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 22:20

Ngày tải lên: 22/06/2014, 18:20

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 23/06/2014, 00:20

... text (HTML) versions will be made available soon. Minimal and maximal solutions to first- order differential equations with state-dependent deviated arguments Boundary 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...

Ngày tải lên: 20/06/2014, 20:20

... second -order superlinear neutral differential equations. Math Slovaca. (to appear) 12. Li, T, Han, Z, Zhang, C, Li, H: Oscillation criteria for second -order superlinear neutral differential equations. ... even -order neutral delay differential equations. Adv Differ Equ. 2010,1–9 (2010) 14. Li, T, Thandapani, E: Oscillation of solutions to odd -order nonlinear neutral functional differential equations. ... non -linear neutral delay differential equations of higher order for p(t) = ± 1. Arch Math. 40, 359–366 (2004) 16. Tang, S, Li, T, Thandapani, E: Oscillation of higher -order half -linear neutral differential...

Ngày tải lên: 20/06/2014, 22:20

... 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 first order 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, 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 Page 14 of 17 RESEARCH Open Access Some new results for BVPs of first- order nonlinear integro-differential...

Ngày tải lên: 21/06/2014, 02:20

... Article ID 507671, 25 pages doi:10.1155/2009/507671 Research Article First- Order Singular and Discontinuous Differential Equations Daniel C. Biles 1 and Rodrigo L ´ opez Pouso 2 1 Department ... 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 problems with 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...

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 03:20

Ngày tải lên: 23/06/2014, 00:20