solve a system of linear differential equations with variable coefficients

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Ngày tải lên: 22/03/2014, 11:20

... with variable delays. Proc Am Math Soc. 136, 909–918 (2008) 19. Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable delays. Nonlinear Anal. ... 200093, China Full list of author information is available at the end of the article Abstract The linear neutral differential equation with variable delays is considered in this article. New criteria for ... neutral nonlinear differential equations with delay. Nonlinear Anal. 74(12):3926–3933 (2011). doi:10.1016/j.na.2011.02.029 17. Raffoul, YN: Stability in neutral nonlinear differential equations with...

Ngày tải lên: 20/06/2014, 22:20

... dimensions with delay. Abstr Appl Anal 2010, 2010:1-16. 31. Kilbas AA, Srivastava HH, Trujillo JJ: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam; 2006. 32. Krasnoselskii ... systems of 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 ... for a singular coupled system of nonlinear fractional differential equations. Appl Math Comput 2004, 150:611-621. 25. Su X: Boundary value problem for a coupled system of nonlinear fractional differential...

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Ngày tải lên: 22/06/2014, 02:20

... features of advanced models in many areas of application with uncer- tainties are often event-driven. In finance and insurance one has to deal with events such as corporate defaults, operational ... exponential of a transformed Wiener process, is also an (A ,P)- martingale. From a practical perspective one can say that a martingale is simply a trendless process. Super- and Submartingales Systematically ... Financial engineers, quantitative analysts, risk managers, fund managers, insurance professionals and others who have no strong mathematical back- ground and are interested in finance, insurance...

Ngày tải lên: 19/02/2014, 22:20

... the same way that one can associate an F[X]-module to any linear transformation of a vector space over a field F .If∂Y = A 1 Y and ∂Y = A 2 Y are differential equations over k and M 1 and M 2 are ... ,y  n ) T and A  = (a  i,j ). We note that there are obvious rules like (AB)  = A  B + AB  , (A −1 )  = A −1 A  A −1 and (Ay)  = A  y + Ay  where A, B are matrices and y is a vector. A linear differential ... analogue for linear differential equations of the classical Galois theory for polynomial equations. The natural analogue of a field in our context is the notion of a differential field. This is a...

Ngày tải lên: 31/03/2014, 15:56

... 3 Asmat Ara, 1 and Nasir-Uddin Khan 1 1 Department of Mathematics, University of Karachi, Karachi 75270, Pakistan 2 Abdul Salam School of Mathematical Sciences, GC University, Lahore, Pakistan 3 Department ... Theory and A pplications of Fractional Differential Equations, Elsevier, Amsterdam, The Netherlands, 2007. 2 R. L. Bagley and R. A. Calico, “Fractional order state equations for the control of viscoelastically damped ... aim is to study the mathematical behavior of the solution ut and vt for different values of α. This goal can be achieved by forming Pade’ approximants, which have the advantage of manipulating...

Ngày tải lên: 21/06/2014, 05:20

... with maxima Rabha W Ibrahim Institute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, Malaysia Email address: rabhaibrahim@yahoo.com Abstract In this article, we employ the Tarski’s ... certain type of fractional differential equations with maxima Advances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7 Rabha W Ibrahim (rabhaibrahim@yahoo.com) ISSN 1687-1847 Article ... Leela, S, Vasundhara, J: Theory of Fractional Dynamic Systems. Cam- bridge Academic Publishers, Cambridge (2009). 12 Extremal solutions for certain type of fractional differential equations with...

Ngày tải lên: 21/06/2014, 17:20

... state space. A local linearization technique is applied to nonlinear equations and an approximate linear equation is obtained in (16). A series of values of hidden variable x can be obtained based ... information of a new seizure is available. Thus the system can adaptively update all related parameters automatically based on available seizure information. From Figure 1, the hidden variable s value ... intracranial EEG data, it has a reliable performance for all six patients including preictal, interictal, and postictal transition data. Application of our method here focuses on the same type of...

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Ngày tải lên: 22/07/2014, 10:21

... I. Albarreal, M.C. Calzada, J.L. Cruz, E. Fern ´ andez-Cara, M. Mari´n, Stability and Convergence of a Parallel Fractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics ... 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, symmetric and nonnegative ... interest in the analysis and numerical solution of PDAEs because of their importance in various applications, such as plasma physics, magneto hydro dynamics, electrical, mechanical and chemical engineering,...

Ngày tải lên: 13/02/2014, 03:20

... and polynomial decay for a quasilinear viscoelastic problem. Nonlinear Anal. 68, 785–793 (2007) 8. Messaoudi, SA: General decay of solutions of a viscoelastic equation. J. Math. Anal. Appl. 341, ... Messaoudi, SA, Said-Houari, B: Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. J. Math. Anal. Appl. ... Rammaha, MA: Systems of nonlinear wave equations with damping and source terms. Diff. Integ. Equ. 19, 1235–1270 (2006) 23. Said-Houari, B, Messaoudi, SA, Guesmia, A: General decay of solutions of a...

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