second order partial differential equation with constant coefficients
Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
... study a class of nonlocalBVPs for nth -order impulsive differential equations with fixed moments.Consider the following nth -order impulsive differential equations with integralboundary conditions:xnt ... pagesdoi:10.1155/2011/456426Research ArticlePositive Solutions of nth -Order NonlinearImpulsive Differential Equation with NonlocalBoundary ConditionsMeiqiang Feng,1Xuemei Zhang,2and Xiaozhong ... Ge, “Existence of solutions of boundary value problems with integralboundary conditions for second- order impulsive integro-differential equations in Banach spaces,”Journal of Computational and...
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Báo cáo sinh học: " Research Article New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions" pdf
... pagesdoi:10.1155/2011/720702Research ArticleNew Existence Results for Higher -Order Nonlinear Fractional Differential Equation with Integral Boundary ConditionsMeiqiang Feng,1Xuemei Zhang,2, 3and ... class of higher- order nonlinear fractional differential equations with integral boundary conditions. The resultsare established by converting the problem into an equivalent integral equation and ... advantage offractional differential equations in comparison with classical integer -order models. Anexcellent account in the study of fractional differential equations can be found in 1–5. Forthe...
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Tài liệu Partial Differential Equation Toolbox pdf
... constitute borders between subdomains of the model. Such borders can be eliminated in this mode. Ω∂ ComputationVisualizationProgramming Partial Differential Equation ToolboxFor Use with MATLABđUsers ... . . 4-28Fast 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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ordinary and partial differential equation routines in matlab - h.j. lee & w.e. schiesser
... 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) = ex. Equation 1.5 is easily verified as the solution to Equations1.3 and 1.4 by substitution in these equations:Terms in Substitution of Equation 1.5Equations 1.3 and 1.4 in Equations ... MethodsWe start with the numerical solution of a single ODE, Equation 1.3, subjectto initial condition Equation 1.4, by the Euler and modified Euler methods, Equation 1.28 and Equations 1.30....
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Báo cáo hóa học: " On a class of second-order nonlinear difference equation" potx
... kind of 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, ... et al. Advances in Difference Equations 2011, 2011:46http://www.advancesindifferenceequations.com/content/2011/1/46Page 2 of 9 Second, one investigates (b). From Equation (1.1), one hasxn+1− ... by those work [1-17], especially [10], we consider in this paper the following second- order rational difference equation xn+1=1+xknxln−1+ axkn+ xln−1+ a, n = −1, 0, 1, ,(1:1)the...
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Báo cáo hóa học: "Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces" doc
... for second order impulsive differential equations. J Math AnalAppl. 331(1), 159–176 (2007). doi:10.1016/j.jmaa.2006.07.1066. Zhang, G, Sun, J: Multiple positive solutions of singular second- order ... p-Laplacianfourth -order differential equations w ith integral boundary conditions. By usingMawhin’ s continuat ion theorem, some sufficient conditions for the existence ofsolution 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) =10g(t)x(t)dt, x(1) = θ .Let E be a real Banach space with norm || · || and...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
... differentialequations,” 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 integralboundary conditions at resonance,” Journal of Mathematical Analysis ... Difference EquationsVolume 2011, Article ID 546038, 14 pagesdoi:10.1155/2011/546038Research ArticleThe Existence of Positive Solution toa Nonlinear Fractional Differential Equation with Integral...
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báo cáo hóa học:" Research Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems" pdf
... problem P with Dirichlet boundary condition and the existence and nonexistence part of the result forproblem P with two-point boundary condition. Let us consider the following second- order impulsive ... pagesdoi:10.1155/2011/212980Research ArticleMultiple Positive Solutions of a SingularEmden-Fowler Type Problem for Second- Order Impulsive Differential SystemsEun Kyoung Lee and Yong-Hoon LeeDepartment of Mathematics, Pusan ... and multiplicity of positive solutions of a singular boundaryvalue problem for second- order differential systems with impulse effects. By using the upper andlower solutions method and fixed point...
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báo cáo hóa học:" Research Article Second-Order Boundary Value Problem with Integral Boundary Conditions" docx
... solutions for second- order differential equations with integralboundary conditions. The compactness of solutions set is also investigated.1. IntroductionThis paper is concerned with the existence ... problem for second order nonlinearsingular 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 boundaryconditions,” Georgian Mathematical Journal, vol. 1, pp. 243–249, 1994.11 M. Denche and A. L. Marhoune, “High order...
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Báo cáo sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
... for second order impulsivedifferential 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 ... pagesdoi:10.1155/2011/654871Research ArticleMultiple Positive Solutions of Fourth -Order Impulsive Differential Equations with IntegralBoundary Conditions and One-Dimensionalp-LaplacianMeiqiang FengSchool...
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báo cáo hóa học:" Positive solutions for boundary value problem for fractional differential equation with $p$-Laplacian operator" doc
... 0 (such as BVP (1.1)) with b = 0. It is a well-knownfact that the boundary value problems with Sturm–Liouville boundary value conditionsfor integral order differential equations have important ... (1.5). Secondly, whenα = 2, β = 1, γ = 1, then BVP (1.5) reduces to BVP (1.2) with b = 0. So, BVP (1.5) isan important generalization of BVP (1.2) from integral order to fractional order. Thirdly,in ... solution to a second- order delta-nabla p-LaplacianBVP 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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