... 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 differentialequations in ... Difference Equations 2011, 2011:10http://www.advancesindifferenceequations.com/content/2011/1/10Page 9 of 13RESEARC H Open AccessPositive solutions for a coupled system of nonlinear differential equations...
... 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) 201-209Fully parallel methods for a class of linear partial differential- algebraic equations Vu Tien Dung∗Department of Mathematics, Mechanics, Informatics, College ... December 2007Abstract. This note deals with two fully parallel methods for solving linear partial differential- algebraic equations (PDAEs) of the form:Aut+ B∆u = f(x, t) (1)where A is a singular,...
... 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. ... ordertwo 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 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,...
... solutionsto lineardifferentialequations and systems of equations exemplifyimportant ideas in linear algebra, and how linear algebra often answerskey questions regarding differential equations. • ... general solutions to systems of linear differential equations or higher order lineardifferential equations. Over the past decade or two, first-order differentialequations have becomea standard ... encounter a handful of examples on linear differentialequations that foreshadow part of the role of linear algebra in thefield of differential equations. The goal of the chapter on linear algebra is...
... functional differential equations. Arch RationMech Anal. 19, 149–166 (1965). doi:10.1007/BF00282279doi:10.1186/1029-242X-2011-20Cite this article as: Zheng and Feng: Some new nonlinear integral ... 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 14 of 15RESEARC H Open AccessSome new nonlinear integral inequalities andtheir applications in the qualitative analysis of differential equations Bin Zheng1*and Qinghua Feng1,2* ... paper, some new nonlinear integral inequalities are established, which providea handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. ...
... timescales. 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 timescales. Nonlinear Anal. ... of solutions forfirst-order nonlinear integro -differential equations with boundary value conditions.Our methods to prove the existence of solutions involve new differential inequalitiesand ... Difference Equations 2011, 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17RESEARCH Open AccessSome new results for BVPs of first-order nonlinear integro-differential...
... second-order nonlinear impulsive differential equations on an infinite intervalwith an infinite number of impulsive times.Consider the following boundary value problem for second-order nonlinear impulsivedifferential ... pagesdoi:10.1155/2011/684542Research ArticleMinimal Nonnegative Solution of Nonlinear Impulsive DifferentialEquations onInfinite IntervalXuemei Zhang,1Xiaozhong Yang,1and Meiqiang Feng21Department ... minimal nonnegativesolution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All...
... 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 ID494720, 9 pages, 2009.14 B. Ahmad and J. R. Graef, “Coupled systems of nonlinear fractional ... CorporationAdvances in Difference Equations Volume 2010, Article ID 691721, 10 pagesdoi:10.1155/2010/691721Research ArticleExistence of Solutions for Nonlinear FractionalIntegro -Differential Equations with...
... continuousfunctions,” 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 ofInternational 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 orderin Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol....