nonlinear system of differential equations solver

Ngày tải lên: 23/06/2014, 01:20

... second example, we will obtain the bound of the solutions of an integral equation. For the sake of proving the global existence of solutions of differential equations, we first recall some basic ... integral equation, differential equa- tion, bounded 1 Introduction During the past decades, with the development of the theory of differential and integral equations, a lot of integral inequalities, ... the qualitative analysis of differential equations Bin Zheng 1* and Qinghua Feng 1,2 * Correspondence: zhengbin2601@126.com 1 School of Science, Shandong University of Technology, Zibo, Shandong...

Ngày tải lên: 21/06/2014, 01:20

... 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 ... Dynamic Systems, Cambridge Academic Publishers, Cambridge, UK, 2009. 9 V. Gafiychuk and B. Datsko, “Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems,” ... uniqueness of mild solutions to impulsive fractional differential equations, ” Nonlinear Analysis: Theory, Methods & Applications, vol. 72, no. 3-4, pp. 1604–1615, 2010. 11 B. Ahmad, “Existence of...

Ngày tải lên: 21/06/2014, 16:20

... Advances in Difference Equations 2011, 2011:58 http://www.advancesindifferenceequations.com/content/2011/1/58 Page 3 of 12 RESEARCH Open Access Polynomial solutions of differential equations H Azad * , ... polynomial solutions of a class of linear differential equations of the second order. Bull A M S. 36, 77–84 (1930). doi:10.1090/S0002-9904-1930-04888-0 Azad et al. Advances in Difference Equations 2011, ... Advances in Difference Equations 2011, 2011:58 http://www.advancesindifferenceequations.com/content/2011/1/58 Page 6 of 12 3 Canonical forms of self-adjoint second-order equations with polynomial coefficients Let...

Ngày tải lên: 20/06/2014, 22:20

... uniqueness of the solutions are obtained. Keywords: systems of elliptic equations, degenerate elliptic equations, boundary value problems, Dirichlet type problem 1 Introduction and statement of the ... stasys. rutkauskas@mii.vu.lt Institute of Mathematics and Informatics of Vilnius University, Akademijos str. 4, LT-08863, Vilnius, Lithuania Abstract A system of elliptic equations which are irregularly ... 2011:16 http://www.boundaryvalueproblems.com/content/2011/1/16 Page 5 of 11 RESEARC H Open Access On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at...

Ngày tải lên: 21/06/2014, 00:20

... argument θ of the complex root is a rational multiple of π, the system is globally periodic. 4.4. Stability of Fixed Points We finish this section with the complete study of the stability of the fixed ... some of those systems can be reduced to some Ricatti equations or to some previously studied second-order rational equations. Further, since, for some choices of the parameters, one obtains a system which ... attention on three aspects of the dynamics of the system: the boundedness character and asymptotic behavior of its solutions, the existence of periodic orbits in particular, of prime period-two solutions,...

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Ngày tải lên: 11/03/2015, 07:57

... system of nonlinear fractional differential equations. Int J Differ Equ 2010, 2010:1-12. 28. Ahmad B, Nieto JJ: Existence results for a coupled system of nonlinear fractional differential equations ... uniqueness of solutions for coupled 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 ... problems of N-Dimension nonlinear fractional differential system. Bound Value Probl 2008, 2008:1-15. 24. Bai C, Fang J: The existence of a positive solution for a singular coupled system of nonlinear...

Ngày tải lên: 21/06/2014, 03:20

... decay of solutions for a quaslinear system of viscoelastic equations. Nonlinear Anal. 71, 2257–2267 (2009). doi:10.1016/j.na.2009.01.060 22. Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... (2006) 23. Said-Houari, B, Messaoudi, SA, Guesmia, A: General decay of solutions of a nonlinear system of viscoelastic wave equations. Nonlinear Diff. Equ. Appl. (2011) 24. Muñoz Rivera, JE: Global ... doi:10.1002/mma.340 19. Han, XS, Wang, WM: Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source. Nonlinear Anal. 71, 5427–5450 (2009). doi:10.1016/j.na.2009.04.031 20....

Ngày tải lên: 21/06/2014, 00:20

... integro -differential equation of Volterra type on time scales. Nonlinear Anal. 60, 429–442 (2005) 15. Xing, Y, Ding, W, Han, M: Periodic boundary value problems of integro -differential equations of ... the existence 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 ... integro -differential equations of Volterra type. J Math Phys Sci. 25, 119–129 (1991) 10. Li, J, Shen, J: Periodic boundary value problems for impulsive integro -differential equations of mixed...

Ngày tải lên: 21/06/2014, 02:20

... solutions of the integer-order equations are found to follow as special cases of those of fractional-order equations. We consider the system of fractional-order equations of the form D α i y i  t   ... various kinds of nonlinear equations. The new homotopy perturbation method NHPM was applied to linear and nonlinear ODEs 17. In this paper, we construct the solution of system of fractional-order ... pY i,1  −L −1 i  ∞  n0 a i,n P n  t   . 3.10 Equating the coefficients of like powers of p, we get the following set of equations: coefficient of p 0 : Y 0  L −1  ∞  n0 a i,n P n  t   , coefficient of p 1 : Y 1  L −1 i  f i  ...

Ngày tải lên: 21/06/2014, 05:20

... Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval Xuemei Zhang, 1 Xiaozhong Yang, 1 and Meiqiang Feng 2 1 Department of Mathematics and Physics, North ... economics. The theory of impulsive differential equations has become an important area of investigation in the recent years and is much richer than the corresponding theory of differential equations. For ... investigate the existence of minimal nonnegative solution for a class of second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. Consider...

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