... Difference Equations 136. ConclusionsIn 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 nonlinearfractional 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-valueproblems with local and non-local boundary conditions,” Proceedings of the Royal Society of Edinburgh.Section A, vol....
... 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 ... 2011:56http://www.advancesindifferenceequations.com/content/2011/1/56Page 8 of 8 RESEARC H Open AccessPositive periodic solutionof higher -order functional difference equation Mei-Lan Tang and Xin-Ge ... k, , m ẻ N where Ndenotes 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...
... 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 ... ArticleMultiple Positive Solutions of Fourth -Order Impulsive Differential Equations with IntegralBoundary Conditions and One-Dimensionalp-LaplacianMeiqiang FengSchool of Applied Science, Beijing ... introduction of the basic theory of impulsivedifferential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations,...
... ArticlePositive Solutions of nth -Order NonlinearImpulsive DifferentialEquationwith NonlocalBoundary ConditionsMeiqiang Feng,1Xuemei Zhang,2and Xiaozhong Yang21School of Science, Beijing ... specification of energy,” Quarterly of Applied Mathematics, vol. 21, pp. 155–160, 1963.16 N. I. Ionkin, “The solutionof a certain boundary value problem of the theory of heat conduction with a nonclassical ... and D. Franco, “Positive solutions of nonlinear fourth -order boundary-valueproblems with local and non-local boundary conditions,” Proceedings of the Royal Society of Edinburgh,vol. 138, no....
... Spectrum of Almost Periodic Solution of Second -Order Neutral Delay Differential Equations with Piecewise Constantof ArgumentLi Wang and Chuanyi ZhangDepartment of Mathematics, Harbin Institute of ... DoslyThe spectrum containment of almost periodic solutionof second -order neutral delay differentialequations with piecewise constantof argument EPCA, for short of the form xtpxt − 1qx2t ... 14 Advances in Difference Equations12 R. Yuan, “On the spectrum of almost periodic solutionof second -order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory,...
... 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17 RESEARCH Open AccessSome new results for BVPs of first- order nonlinearintegro -differential equations of volterra typeYepeng ... 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, letx be a solutionof (3.14). Note that x is also a solutionof ... 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...
... is a constant. Equation 4.14 is an inhomogeneous second -order linear difference equation; its solution takes theform of a particular solution added to an arbitrary linear combination of solutions ... lj3.11are 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 wayto obtain error bounds of these asymptotic solutions. Only order estimations...
... 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 twodifferent solutions of the same equation are compared, which allows ... nonoscillation conditions for equations with positive and negative coefficients: if the relevant equationwith positive coefficients onlyis nonoscillatory, so is the equationwith coefficients of both signs. Is...
... and E. Mboumi, “Positive solutions of a boundary value problem for a nonlinearfractional differential equation, ” Electronic Journal of Qualitative Theory of Differential Equations, vol.2008, no. ... “Positive solutions for boundary-value problems of nonlinear fractional differentialequations,” 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 resultsare...
... global solutions for the Constantin-Lax-Majda equationwith 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 thescalar equation ωt+ vωx= ωHω;(1.3)with...
... Classification of First- Order Recurrent Neural Networks 151hierarchy is actually a well-ordering. In fact, the RNN hierarchy consists of analternating succession of non-self-dual and self-dual classes with ... Muller automaton A to a corresponding network NAprovided with a type specification of its attractors A Hierarchical Classification of First- Order Recurrent Neural Networks 145such that x(i) ∈ inf(es) ... provided with an additional type specification of each of its attractors. The complementary network Nis then defined to be thesame network as N but with an opposite type specification of its attractors.1Inaddition,...
... negative. There do not e xist eventua lly positivenon-oscillatory solutions ofEquation (1.1).Proof. Consider a solutionofEquation (1.1) with x−1, x0∈(0, 1).We then know from Lemma 2.3 (A) ... 2011:46http://www.advancesindifferenceequations.com/content/2011/1/46Page 8 of 9 andeither m = ∞ or m < ∞ and xm+1<¯x.A negative semicycle of a solution {xn}∞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 thesuccessive lengths of positive and negative semicycles for oscillatory solutions of this equation, and the positive...
... “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 parametersλ and μ.Sun11 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...
... pointtheorem, Wang obtained the existence and uniqueness of solutions for the following BVP of nonlinear impulsive differential equations of fractional order qCDqu(t) ... pointtheorem, Zhou and Chu discussed the existence of solutions for a nonlinear multi-pointBVP of integro-differential equations of fractional order q ∈ (1, 2]CDq0+u(t) = f(t, ... Existence of a positive solution to a first -order p-Laplacian BVP on a timescale. Nonlinear Anal. 74, 19261936(2011)[34] Bai, Z, L ău, H: Positive solutions for boundary value problem of nonlinear...