second order linear differential equation with variable coefficients examples
Báo cáo hóa học: "Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces" doc
... investigates the existence of apositive solution for a class of nonlinear boundary value problems of second- order differential equations with integral boundary conditions in abstract spaces. Thearguments ... 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 ... 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 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 ... problem for second order ordinary differentialequations,” Applied Mathematics and Computation, vol. 89, no. 1–3, pp. 133–146, 1998.29 W. Feng, “On an m-point boundary value problem,” Nonlinear...
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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
... differential equations with fractional order and nonlocal conditions,” Nonlinear Analysis: Theory, Methods and Applications,vol. 71, no. 7-8, pp. 2391–2396, 2009.17 H. A. H. Salem, “On the nonlinear ... 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...
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báo cáo hóa học:" Research Article Oscillation of Solutions of a Linear Second-Order Discrete-Delayed Equation" docx
... the solutions beingoscillating for a class of linear second- order delayed-discrete equations.We consider the delayed second- order linear discrete equation Δxn −pnxn − 1, 1.1where ... original work is properly cited.A linear second- order discrete-delayed equation Δxn−pnxn − 1 with a positive coefficientp is considered for n →∞. This equation is known to have a positive ... P. Agarwal and A. Zafer, “Oscillation criteria for second- order forced dynamic equations with mixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009.2...
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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, ... RESEARCH Open AccessOn a class of second- order nonlinear difference equation Li Dongsheng1*, Zou Shuliang1and Liao Maoxin2* Correspondence: lds1010@sina.com1School ... stabilityTheorem 3.5. The positive equilibrium point of Equation (1.1) is locally asymptoticallystable.Proof. The linearized equation of Equation (1.1) about the positive equilibrium point¯xisyn+1=0·yn+0·yn−1,...
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Báo cáo hóa học: " New criteria for stability of neutral differential equations with variable delays by fixed points method" docx
... neutral nonlinear differential equations with delay.Nonlinear Anal. 74(12):3926–3933 (2011). doi:10.1016/j.na.2011.02.02917. Raffoul, YN: Stability in neutral nonlinear differential equations with ... neutral differential equations with variable delays. Proc Am Math Soc. 136,909–918 (2008)19. Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable ... neutral differential equation, variable delays1 IntroductionThe objective of this article is to investigate the stability of the zero solution of thefirst -order linear neutral differential equations...
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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
... Differential Equations, no. 36, pp. 1–12, 2006.16 M. Benchohra, S. Hamani, and S. K. Ntouyas, “Boundary value problems for differential equations with fractional order and nonlocal conditions,” Nonlinear ... Difference EquationsVolume 2011, Article ID 546038, 14 pagesdoi:10.1155/2011/546038Research ArticleThe Existence of Positive Solution toa Nonlinear Fractional Differential Equation with Integral ... fractionaldifferential equations,” Computers & Mathematics with Applications, vol. 59, no. 3, pp. 1345–1351, 2010.24 M. Feng, X. Zhang, and W. Ge, “New existence results for higher -order nonlinear fractionaldifferential...
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Báo cáo hóa học: " Research Article Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter" doc
... with Btβ.Since the parameters Bt is variable, we cannot expect to transform directly BVP1.2 intoan integral equation as in 16. We will apply the cone fixed point theory, combining with the ... problems,”Nonlinear Analysis. Theory, Methods & Applications, vol. 67, no. 6, pp. 1704–1709, 2007.3 G. Chai, “Existence of positive solutions for fourth -order boundary value problem with variable parameters,” ... value problem with ap-Laplacian,” Computers & Mathematics with Applications, vol. 58, no. 6, pp. 1103–1112, 2009.16 Z. Bai, “Positive solutions of some nonlocal fourth -order boundary...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... solutions to second order linear difference equations in the first case. For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second- order Linear ... “summary equation 2.1. Next weconsider a nonlinear first -order difference equation. 2 Advances in Difference EquationsUnlike t he method used by Olver 4 to treat asymptotic solutions of second- order linear ... ofthe definitions of αi,ρiin 1.5, 1.7,and2p − q 1. Equation 3.8 is a second- order linear difference equation with two known linear independent solutions. Its coefficients are quite similar...
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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
... solutions of two-point boundary value problems for systemsof nonlinear second- order singular and impulsive differential equations,” Nonlinear Analysis: Theory,Methods & Applications, vol. 69, ... 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 ... 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
... cited.The nonlinear alternative of the Leray Schauder type and the Banach contraction principle areused to investigate the existence of solutions for second- order differential equations with integralboundary ... 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 ... 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...
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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 ... boundary value problem for second order nonlinearsingular differential equations,” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000.22 C. Corduneanu, Integral Equations and Applications, ... with integral boundary conditionsand one-dimensional p-Laplacian,” Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 9,pp. 3119–3126, 2009.19 J. M. Gallardo, Second- order...
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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 ... articles dealing with the existence of solutions to boundaryvalue problems for fractional differential equation with p-Laplacian operator. In [24], theauthors investigated the nonlinear nonlocal...
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