solution of first order linear differential equation with constant coefficients

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... Difference Equations 13 6. Conclusions In this paper, by using the fixed point theorem of cone, we have investigated the existence of positive solutions for a class of nonlinear fractional differential equations ... and E. Mboumi, “Positive solutions of a boundary value problem for a nonlinear fractional differential equation, ” Electronic Journal of Qualitative Theory of Differential Equations,no.3, pp. 1–11, ... and D. Franco, “Positive solutions of nonlinear fourth -order boundary-value problems with local and non-local boundary conditions,” Proceedings of the Royal Society of Edinburgh. Section A, vol....

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... Most of these discrete mathematical models are first- order functional difference equations. Rela- tively, few articles focused on the existence of positive periodic solutions of higher -order functional ... 2011:56 http://www.advancesindifferenceequations.com/content/2011/1/56 Page 8 of 8 RESEARC H Open Access Positive periodic solution of higher -order functional difference equation Mei-Lan Tang and Xin-Ge ... k, , m ẻ N where N denotes the set of positive integers. The purpose of this article is to consider the existence of positive periodic solution of higher -order functional differen ce equatio...

Ngày tải lên: 20/06/2014, 22:20

... Differential Equations, vol. 14, World Scientific, Singapore, 1995. 6 J. Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,” Journal of Mathematical ... Article Multiple Positive Solutions of Fourth -Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang Feng School of Applied Science, Beijing ... introduction of the basic theory of impulsive differential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations,...

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... Article Positive Solutions of nth -Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions Meiqiang Feng, 1 Xuemei Zhang, 2 and Xiaozhong Yang 2 1 School of Science, Beijing ... specification of energy,” Quarterly of Applied Mathematics, vol. 21, pp. 155–160, 1963. 16 N. I. Ionkin, “The solution of a certain boundary value problem of the theory of heat conduction with a nonclassical ... and D. Franco, “Positive solutions of nonlinear fourth -order boundary-value problems with local and non-local boundary conditions,” Proceedings of the Royal Society of Edinburgh, vol. 138, no....

Ngày tải lên: 21/06/2014, 16:20

... Spectrum of Almost Periodic Solution of Second -Order Neutral Delay Differential Equations with Piecewise Constant of Argument Li Wang and Chuanyi Zhang Department of Mathematics, Harbin Institute of ... Dosly The spectrum containment of almost periodic solution of second -order neutral delay differential equations with piecewise constant of argument EPCA, for short of the form xtpxt − 1   qx2t ... 14 Advances in Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second -order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory,...

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... 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 equations of volterra type Yepeng ... potential solutions of x = λTx, λ ∈ [ 0, 1 ], (3:14) are bounded a priori, with the bound being independent of l. With this in mind, let x be a solution of (3.14). Note that x is also a solution of ... existence of solutions for the following first- order nonlinear integro -differential system with periodic boundary value conditions.  x  = f (t, x,(Kx)(t )), t ∈ [0 , 1] ; x(0) = x(1); (1:1) and first- order...

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... is a constant. Equation 4.14 is an inhomogeneous second -order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions ... l  j       3.11 are finite. Equation 3.10 is a inhomogeneous second -order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions ... asymptotic solutions of second -order linear differential equations, the method used in Wong and Li’s papers cannot give us way to obtain error bounds of these asymptotic solutions. Only order estimations...

Ngày tải lên: 21/06/2014, 11:20

... dynamic equations of first order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008. 10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with variable ... theorems on oscillation and nonoscillation of solutions to 1.3 are obtained. Thus, solutions of two different equations and/or two different solutions of the same equation are compared, which allows ... nonoscillation conditions for equations with positive and negative coefficients: if the relevant equation with positive coefficients only is nonoscillatory, so is the equation with coefficients of both signs. Is...

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... and E. Mboumi, “Positive solutions of a boundary value problem for a nonlinear fractional differential equation, ” Electronic Journal of Qualitative Theory of Differential Equations, vol. 2008, no. ... “Positive solutions for boundary-value problems of nonlinear fractional differential equations,” Electronic Journal of Differential Equations, vol. 2006, pp. 1–12, 2006. 21 S. Zhang, “The existence of ... paper investigates the existence and multiplicity of positive solutions for a class of higher- order nonlinear fractional differential equations with integral boundary conditions. The results are...

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... global solutions for the Constantin-Lax-Majda equation with a general- ized viscosity term, Nonlinearity 16 (2003), 1319–1328. [13] S. Schochet, Explicit solutions of the viscous model vorticity equation, ... Yang, Behavior of solutions of model equations for incompressible fluid flow, J. Differential Equations 125 (1996), 133–153. [16] M. Vasudeva, The Constantin-Lax-Majda model vorticity equation revisited, ... terms of ω. In order to construct lower dimensional models containing some of the main features of (1.2), Constantin, Lax and Majda [3] considered the scalar equation ω t + vω x = ωHω;(1.3) with...

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... Classification of First- Order Recurrent Neural Networks 151 hierarchy is actually a well-ordering. In fact, the RNN hierarchy consists of an alternating succession of non-self-dual and self-dual classes with ... Muller automaton A to a corresponding network N A provided with a type specification of its attractors A Hierarchical Classification of First- Order Recurrent Neural Networks 145 such that x(i) ∈ inf(e s ) ... provided with an additional type specification of each of its attractors. The complementary network N  is then defined to be the same network as N but with an opposite type specification of its attractors. 1 In addition,...

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... negative. There do not e xist eventua lly positive non-oscillatory solutions of Equation (1.1). Proof. Consider a solution of Equation (1.1) with x −1 , x 0 ∈ ( 0, 1 ). We then know from Lemma 2.3 (A) ... 2011:46 http://www.advancesindifferenceequations.com/content/2011/1/46 Page 8 of 9 and either m = ∞ or m < ∞ and x m +1 < ¯ x . A negative semicycle of a solution { x n } ∞ n =− 1 of Equation (1.1) consists of a string of terms ... 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, and the positive...

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... “Positive solutions of a nonlinear fourth order boundary value problem,” Communications on Applied Nonlinear Analysis, vol. 14, no. 1, pp. 61–73, 2007. 4 H. Wu and J. Zhang, “Positive solutions of ... a unique solution and then studied the dependence of this solution on the parameters λ and μ.Sun11 discussed the existence and nonexistence of positive solutions to a class of third -order three-point ... parameter dependence of solutions of second -order boundary value problems,” Applied Mathematics Letters, vol. 22, no. 11, pp. 1633–1638, 2009. 11 Y. Sun, “Positive solutions for third -order three-point...

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... point theorem, Wang obtained the existence and uniqueness of solutions for the following BVP of nonlinear impulsive differential equations of fractional order q                C D q u(t) ... point theorem, Zhou and Chu discussed the existence of solutions for a nonlinear multi-point BVP of integro-differential equations of fractional order q ∈ (1, 2]        C D q 0+ u(t) = f(t, ... Existence of a positive solution to a first -order p-Laplacian BVP on a time scale. Nonlinear Anal. 74, 19261936(2011) [34] Bai, Z, L ău, H: Positive solutions for boundary value problem of nonlinear...

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