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solving second order coupled differential equations

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Báo cáo hoa học: " Research Article On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay" pdf

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... Difference Equations Volume 2010, Article ID 143298, 8 pagesdoi:10.1155/2010/143298Research ArticleOn Connection between Second- Order Delay Differential Equations and Integrodifferential Equations ... obtained by transforming second- order delay dierential equations ăxtat xgt btxht  0 to first -order differential equations. 1. Introduction and PreliminariesThe second order delay dierential equationăxt ... Advances in Difference Equations One of the methods used to study 1.1 is transforming the second- order delaydifferential equation to a first -order differential or integrodifferential equations with delay.A...
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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

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... 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 ... nonlinear first -order difference equation. 2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second- order linear differential equations, the ... for second- order linear difference equations, ” Journal ofComputational and Applied Mathematics, vol. 41, no. 1-2, pp. 65–94, 1992.3 R. Wong and H. Li, “Asymptotic expansions for second- order...
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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

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... 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 ... solutions of two-point boundary value problems for systemsof nonlinear second- order singular and impulsive differential equations, ” Nonlinear Analysis: Theory,Methods & Applications, vol. ... the existence, 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...
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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx

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... concentrated on lower -order neutralfunctional differential equations, while studies on higher -order neutral functional differential equations are rather infrequent, especially on higher -order p-Laplacian ... 2, pp. 1161–1173,2007.9 J. Wu and Z. Wang, “Two periodic solutions of second- order neutral functional differential equations, ” Journal of Mathematical Analysis and Applications, vol. 329, no. ... ArticleExistence and Lyapunov Stability ofPeriodic Solutions for Generalized Higher -Order Neutral Differential Equations Jingli Ren,1Wing-Sum Cheung,2and Zhibo Cheng11Department of Mathematics,...
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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

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... 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, ... 284–302, 1997.12 R. P. Agarwal and D. O’Regan, “Multiple nonnegative solutions for second order impulsivedifferential equations, ” Applied Mathematics and Computation, vol. 114, no. 1, pp. 51–59, 2000.13...
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Báo cáo hóa học: " Research Article Global Behavior of Solutions to Two Classes of Second-Order Rational Difference Equations Sukanya Basu and Orlando Meri" docx

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... Dynamics of Second Order Rational Difference Equations, Chapman &Hall/CRC, Boca Raton, Fla, USA, 2002.2 G. Ladas, “Invariants for generalized Lyness equations, ” Journal of Difference Equations ... Difference Equations Volume 2009, Article ID 128602, 27 pagesdoi:10.1155/2009/128602Research ArticleGlobal Behavior of Solutions to Two Classes of Second- Order Rational Difference Equations Sukanya ... difference equations, ” AppliedMathematics Letters, vol. 13, no. 7, pp. 1–8, 2000.5 A. M. Amleh, E. Camouzis, and G. Ladas, “On second- order rational difference equation—I,” Journalof Difference Equations...
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Báo cáo hóa học: " Research Article Cauchy-Neumann Problem for Second-Order ¨ General Schrodinger Equations in Cylinders with Nonsmooth Bas" potx

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... of solutions of initial-boundary value problems for parabolic equations in domains with conical points,” Journal of Differential Equations, vol. 245, no. 7, pp. 1801–1818, 2008.6 V. A. Solonnikov, ... smoothness of solutions to second initial boundaryvalue problems for Schrăodinger systems in cylinders with non-smooth bases,” Electronic Journal ofDifferential Equations, vol. 2008, no. 35, ... measurable complex functions ux, t that havegeneralized derivatives up to order m with respect to x and up to order l with respect to twith the normuHm,le−γt,Q∞⎛⎝Q∞⎡⎣|α|m|∂αu|2lj1|utj|2⎤⎦e−2γtdx...
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Báo cáo hóa học: " Research Article New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability" ppt

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... this theorem, we get Ft2 · γ.4. Second- Order Fuzzy Differential Equations In this section, we study the fuzzy initial value problem for a second- order linear fuzzydifferential equation:⎧⎪⎪⎪⎨⎪⎪⎪⎩yt ... twosolutions.5. Higher -Order Fuzzy Differential Equations Selecting different types of derivatives, we get several solutions to fuzzy initial value problemfor second- order fuzzy differential equations. Theorem ... higher -order differentiability for fuzzy functions.Then we interpret Nth -order fuzzy differential equations using this concept. We introduce newdefinitions of solution to fuzzy differential equations. ...
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báo cáo hóa học:" Research Article Exponential Stability of Two Coupled Second-Order Evolution Equations" pptx

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... CorporationAdvances in Difference Equations Volume 2011, Article ID 879649, 14 pagesdoi:10.1155/2011/879649Research ArticleExponential Stability of Two Coupled Second- Order Evolution Equations Qian Wan and ... be applied to concrete partial differential equations. 1. IntroductionOf concern is the exponential stability of two coupled second- order evolution equations oneis an integro-differential equation ... cited.By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations one is an integro-differential equation decays exponentially if theconvolution...
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Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt

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... Difference Equations Volume 2009, Article ID 143175, 14 pagesdoi:10.1155/2009/143175Research ArticleOn the Spectrum of Almost Periodic Solution of Second- Order Neutral Delay Differential Equations with ... contradiction. The claim follows. 14 Advances in Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations withpiecewise constant argument,” Nonlinear ... periodic differential equations and almost periodic flows,” Journal ofDifferential Equations, vol. 5, no. 1, pp. 167–181, 1969.18 R. Yuan, “Pseudo-almost periodic solutions of second- order neutral...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx

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... Difference Equations Volume 2009, Article ID 347291, 18 pagesdoi:10.1155/2009/347291Research ArticleInequalities among Eigenvalues of Second- Order Difference Equations withGeneral Coupled Boundary ... γyb δyΔb 0, 2.9 18 Advances in Difference Equations 4 Y. Wang and Y. Shi, “Eigenvalues of second- order difference equations with periodic and antiperiodicboundary conditions,” ... May 2009Recommended by Johnny HendersonThis paper studies general coupled boundary value problems for second- order difference equations. Existence of eigenvalues is proved, numbers of their eigenvalues...
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Báo cáo hóa học: " Research Article Recent Existence Results for Second-Order Singular Periodic Differential Equations" doc

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... “Existence of one-signed periodic solutions of some second- order differential equations via a Krasnoselskii fixed point theorem,” Journal of Differential Equations, vol. 190, no. 2, pp. 643–662,2003.38 ... pagesdoi:10.1155/2009/540863Research ArticleRecent Existence Results for Second- Order Singular Periodic Differential Equations Jifeng Chu1, 2and Juan J. Nieto31Department of Mathematics, ... Differential Equations, vol. 103, no. 2, pp. 260–277, 1993.3 J. Chu, X. Lin, D. Jiang, D. O’Regan, and R. P. Agarwal, “Multiplicity of positive periodic solutions to second order differential equations, ”...
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báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc

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... pagesdoi:10.1155/2009/905769Research ArticleLimit Properties of Solutions of Singular Second- Order Differential Equations Irena Rach˚unkov´a,1Svatoslav Stanek,1Ewa Weinmăuller,2and ... becoming finer.We finally observe experimentally the order of convergence of the numerical methodcollocation. Clearly, we do not expect very hight order to hold, since the analytical solutionhas ... 5.44-5.1a with a  1.Tab le 1 : Estimated convergence order for the periodic boundary value problem 5.43-5.1a and a  1.i Error estimate Conv. order 1 5.042446e–003 —2 2.850171e–003 0.8230753...
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báo cáo hóa học:" Research Article Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations" doc

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... pagesdoi:10.1155/2009/959636Research ArticleHomoclinic Solutions of Singular Nonautonomous Second- Order Differential Equations Irena Rach˚unkov´aandJanTomeˇcekDepartment of Mathematical Analysis ... and second order differential equations with a singularity of the first kind,” Analysis, vol. 21, no. 4, pp.373–389, 2001.7 D. Bonheure, J. M. Gomes, and L. Sanchez, “Positive solutions of a second- order ... Rach˚unkov´aandJ.Tomeˇcek, “Singular nonlinear problem for ordinary differential equation ofthe second- order on the half-line,” in Mathematical Models in Engineering, Biology and Medicine:International...
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