second order partial differential equation with constant coefficients

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... study a class of nonlocal BVPs for nth -order impulsive differential equations with fixed moments. Consider the following nth -order impulsive differential equations with integral boundary conditions: x n  t   ... pages doi:10.1155/2011/456426 Research Article Positive Solutions of nth -Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions Meiqiang Feng, 1 Xuemei Zhang, 2 and Xiaozhong ... Ge, “Existence of solutions of boundary value problems with integral boundary conditions for second- order impulsive integro-differential equations in Banach spaces,” Journal of Computational and...

Ngày tải lên: 21/06/2014, 16:20

... pages doi:10.1155/2011/720702 Research Article New Existence Results for Higher -Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions Meiqiang Feng, 1 Xuemei Zhang, 2, 3 and ... class of higher- order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and ... advantage of fractional differential equations in comparison with classical integer -order models. An excellent account in the study of fractional differential equations can be found in 1–5. For the...

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... constitute borders between subdomains of the model. Such borders can be eliminated in this mode. Ω∂ Computation Visualization Programming Partial Differential Equation Toolbox For Use with MATLAB đ Users ... . . 4-28 Fast Solution of Poisson’s Equation . . . . . . . . . . . . . . . . . . . . 4-29 Partial Differential Equation Toolbox For Use with MATLABđ Users Guide Computer ... system of ordinary differential equations (ODE) which you integrate using ODE solvers. Two time derivatives yield a second order ODE , etc. The toolbox supports problems with one or two time...

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Ngày tải lên: 22/03/2014, 11:20

... positive constants. Equation 1.3 is termed a first -order, linear, ordinary differential equation with variable coefficients. These terms are explained below. Term Explanation Differential equation Equation ... exp(x) = e x . Equation 1.5 is easily verified as the solution to Equations 1.3 and 1.4 by substitution in these equations: Terms in Substitution of Equation 1.5 Equations 1.3 and 1.4 in Equations ... Methods We start with the numerical solution of a single ODE, Equation 1.3, subject to initial condition Equation 1.4, by the Euler and modified Euler methods, Equation 1.28 and Equations 1.30....

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... kind of second- order rational difference equation. With the change of the initial values, we find the successive lengths of positive and negative semicycles for oscillatory solutions of this equation, ... et al. Advances in Difference Equations 2011, 2011:46 http://www.advancesindifferenceequations.com/content/2011/1/46 Page 2 of 9 Second, one investigates (b). From Equation (1.1), one has x n+1 − ... by those work [1-17], especially [10], we consider in this paper the following second- order rational difference equation x n+1 = 1+x k n x l n−1 + a x k n + x l n −1 + a , n = −1, 0, 1, , (1:1) the...

Ngày tải lên: 20/06/2014, 22:20

... for second order impulsive differential equations. J Math Anal Appl. 331(1), 159–176 (2007). doi:10.1016/j.jmaa.2006.07.106 6. Zhang, G, Sun, J: Multiple positive solutions of singular second- order ... p-Laplacian fourth -order differential equations w ith integral boundary conditions. By using Mawhin’ s continuat ion theorem, some sufficient conditions for the existence of solution for a class of second- order ... theorem [10] i n cone to the second- order differential equations.  x  (t )+f (t, x(t)) = θ ,0< t < 1, x(0) =  1 0 g(t)x(t)dt, x(1) = θ . Let E be a real Banach space with norm || · || and...

Ngày tải lên: 21/06/2014, 00:20

... differential equations,” Electronic Journal of Differential Equations, no. 36, pp. 1–12, 2006. 16 M. Benchohra, S. Hamani, and S. K. Ntouyas, “Boundary value problems for differential equations with ... The Netherlands, 1996. 27 X. Zhang, M. Feng, and W. Ge, “Existence result of second- order differential equations with integral boundary conditions at resonance,” Journal of Mathematical Analysis ... Difference Equations Volume 2011, Article ID 546038, 14 pages doi:10.1155/2011/546038 Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral...

Ngày tải lên: 21/06/2014, 05:20

... problem P with Dirichlet boundary condition and the existence and nonexistence part of the result for problem P with two-point boundary condition. Let us consider the following second- order impulsive ... pages doi:10.1155/2011/212980 Research Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second- Order Impulsive Differential Systems Eun Kyoung Lee and Yong-Hoon Lee Department of Mathematics, Pusan ... and multiplicity of positive solutions of a singular boundary value problem for second- order differential systems with impulse effects. By using the upper and lower solutions method and fixed point...

Ngày tải lên: 21/06/2014, 11:20

... solutions for second- order differential equations with integral boundary conditions. The compactness of solutions set is also investigated. 1. Introduction This paper is concerned with the existence ... problem for second order nonlinear singular differential equations,” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 7 J. R. L. Webb, “Positive solutions of some higher order nonlocal ... Brykalov, “A second order nonlinear problem with two-point and integral boundary conditions,” Georgian Mathematical Journal, vol. 1, pp. 243–249, 1994. 11 M. Denche and A. L. Marhoune, “High order...

Ngày tải lên: 21/06/2014, 11:20

... for 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 ... Franco, and D. O’Regan, “Singular boundary value problems for first and second order impulsive differential equations,” Aequationes Mathematicae, vol. 69, no. 1-2, pp. 83–96, 2005. 15 X. Lin ... 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 Feng School...

Ngày tải lên: 21/06/2014, 16:20

... 0 (such as BVP (1.1)) with b = 0. It is a well-known fact that the boundary value problems with Sturm–Liouville boundary value conditions for integral order differential equations have important ... (1.5). Secondly, when α = 2, β = 1, γ = 1, then BVP (1.5) reduces to BVP (1.2) with b = 0. So, BVP (1.5) is an important generalization of BVP (1.2) from integral order to fractional order. Thirdly, in ... solution to a second- order delta-nabla p-Laplacian BVP on a time scale. Appl. Math. Lett. 25, 157–162 (2012) [32] Graef, JR, Kong, L: First -order singular boundary value problems with p-Laplacian...

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