linear nonlinear differential equations examples

... 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. ... 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. Electron ... results of higher-order nonlinear neutral delay differential equations. Selçuk J Appl Math. 11,55–62 (2010) 19. Zafer, A: Oscillation criteria for even order neutral differential equations. Appl Math...

Ngày tải lên: 20/06/2014, 22:20

... of nonlinear fractional differential equations. Commun Nonlinear Sci Numer Simul 2011, 16:2086-2097. 20. Yu Y, Jiang D: Multiple Positive Solutions for the Boundary Value Problem of A Nonlinear ... higher-order nonlinear fractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17. 30. Babakhani A: Positive solutions for system of nonlinear fractional differential equations in ... 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...

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... Solution of Linear Parabolic Problems, Applied Mathematics Research Express No. 4 (2005) 117. [5] R.D. da Cunha, T.R. Hopkins, Parallel Over Relaxation Algorithms for Systems of Linear Equations, ... Mathematics - Physics 23 (2007) 201-209 Fully parallel methods for a class of linear partial differential- algebraic equations Vu Tien Dung ∗ Department of Mathematics, Mechanics, Informatics, College ... December 2007 Abstract. This note deals with two fully parallel methods for solving linear partial differential- algebraic equations (PDAEs) of the form: Au t + B∆u = f(x, t) (1) where A is a singular,...

Ngày tải lên: 13/02/2014, 03:20

Ngày tải lên: 14/03/2014, 13:20

Ngày tải lên: 14/03/2014, 13:20

... 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. ... 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 differential equations ... this book are discussions of the arithmetic theory of linear differential equations as well as the Galois theory of nonlinear differential equations. A few references are [161, 196, 198, 221, 222,...

Ngày tải lên: 31/03/2014, 15:56

Ngày tải lên: 31/03/2014, 15:56

... solutions to linear differential equations and systems of equations exemplify important ideas in linear algebra, and how linear algebra often answers key questions regarding differential equations. • ... general solutions to systems of linear differential equations or higher order linear differential equations. Over the past decade or two, first-order differential equations have become a standard ... encounter a handful of examples on linear differential equations that foreshadow part of the role of linear algebra in the field of differential equations. The goal of the chapter on linear algebra is...

Ngày tải lên: 11/06/2014, 07:16

... functional differential equations. Arch Ration Mech Anal. 19, 149–166 (1965). doi:10.1007/BF00282279 doi:10.1186/1029-242X-2011-20 Cite this article as: Zheng and Feng: Some new nonlinear integral ... 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 14 of 15 RESEARC H Open Access Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations Bin Zheng 1* and Qinghua Feng 1,2 * ... paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. ...

Ngày tải lên: 21/06/2014, 01:20

... time scales. Nonlinear Anal. 60, 429–442 (2005) 15. Xing, Y, Ding, W, Han, M: Periodic boundary value problems of integro -differential equations of Volterra type on time scales. Nonlinear Anal. ... of solutions for first-order nonlinear integro -differential equations with boundary value conditions. Our methods to prove the existence of solutions involve new differential inequalities and ... 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

... second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. Consider the following boundary value problem for second-order nonlinear impulsive differential ... pages doi:10.1155/2011/684542 Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval Xuemei Zhang, 1 Xiaozhong Yang, 1 and Meiqiang Feng 2 1 Department ... minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All...

Ngày tải lên: 21/06/2014, 11:20

... differential equations, ” Nonlinear Analysis: Theory, Methods & Applications, vol. 72, no. 3-4, pp. 1604–1615, 2010. 11 B. Ahmad, “Existence of solutions for irregular boundary value problems of nonlinear ... higher- order nonlinear fractional differential equations, ” Abstract and Applied Analysis, vol. 2009, Article ID 494720, 9 pages, 2009. 14 B. Ahmad and J. R. Graef, “Coupled systems of nonlinear fractional ... Corporation Advances in Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro -Differential Equations with...

Ngày tải lên: 21/06/2014, 16:20

... continuous functions,” Nonlinear Analysis: Theory, Methods & Applications, vol. 68, no. 2, pp. 377–383, 2008. 29 D. Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract ... Netherlands, 1996. 30 V. Lakshmikantham and S. Leela, Nonlinear Differential Equations in Abstract Spaces, vol. 2 of International Series in Nonlinear Mathematics: Theory, Methods and Applications, ... Oxford, UK, 1981. 31 H. M ¨ onch, “Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol....

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