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linear difference equations with discrete transforms method

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Báo cáo hóa học: "PERTURBATION METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS" pot

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... perturbation method applied to the open-loop discrete optimalcontrol problem, Optimal Control Applications & Methods 3 (1982), no. 2, 121–131.[15] T. Sari and T. Zerizer, Perturbations for linear ... convergence of theproposed iterative method. Section 3 is mainly devoted to validate the effectiveness ofour method, compared with the singular perturbation method. We consider a right endperturbation ... comparison with the other formal method requires the analysis of its re-sults. We conclude with Section 4.2. Main result2.1. Formal asymptotic solution. In this section, we develop a perturbation method...
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Báo cáo " Stability Radii for Difference Equations with Time-varying Coefficients " ppt

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... VietnamReceived 10 August 2010Abstract. This paper deals with a formula of stability radii for an linear difference equation(LDEs for short) with the coefficients varying in time under structured ... operator. The result is considered as an discrete version ofa previous result for time-varying ordinary differential equations [1].Keywords: Robust stability, Linear difference equation, Input-output ... Kd.VNU Journal of Science, Mathematics - Physics 26 (2010) 175-184Stability Radii for Difference Equations with Time-varyingCoefficientsLe Hong Lan*Department of Basic Sciences, University...
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Báo cáo hóa học: " Difference inequality for stability of impulsive difference equations with distributed delays" pdf

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... becomes difference equations with distrib-uted delays without impulses in vector formx(m +1)=Ax(m)+Bf (x(m)) + C∞k=1μkg (x(m − k)),(24)which contains many popular models such as discrete- time ... with aftereffect. In: Translations of Mathematical Monographs, vol.157,American Mathematical Society, Providence, RI (1996)2. Xu, DY: Asymptotic behavior of nonlinear difference equations with ... ConclusionIn this paper, we consider a class of impulsive difference equations with distributeddelays. By establishing an impulsive delay difference inequality and using the propertiesof “r-cone”...
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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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... 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 method ... in Difference Equations Volume 2010, Article ID 594783, 19 pagesdoi:10.1155/2010/594783Research ArticleError Bounds for Asymptotic Solutions ofSecond-Order Linear Difference Equations II:The ... 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 to those in...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt

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... Regularly Varying Solutions of H alf -Linear Difference Equations In this short section we show how the results of Section 3 can be extended to half -linear difference equations of the formΔΦΔyk ... asecond-order linear difference equation with arbitrary sign coefficient are established. Relations with the so-calledM-classification are also analyzed and a generalization of the results to the half- linear ... order linear difference equations, ”Fasciculi Mathematici, no. 31, pp. 71–89, 2001.9 M. Cecchi, Z. Doˇsl´a, and M. Marini, “Positive decreasing solutions of quasi -linear difference equations, ”...
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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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... 1.2 with α  0, and λj−K0 ≤ j ≤ N −1 denotes the eigenvalue of the problem 1.1 and 1.2 with α  π. We now present the main results of this paper.Advances in Difference Equations 13linearly ... CorporationAdvances in Difference Equations Volume 2009, Article ID 347291, 18 pagesdoi:10.1155/2009/347291Research ArticleInequalities among Eigenvalues ofSecond-Order Difference Equations with General Coupled ... 1.2 with α  0 or α  π.If fλ2 or −2 for some λ/ μk0 ≤ k ≤ Ns,thenλ is a simple eigenvalue of 1.1 and 1.2 with α  0 or α  π and for every λ/ μk0 ≤ k ≤ Ns ,with 2...
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Báo cáo hoa học: " Research Article Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variable" docx

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... difference equations with discrete variable have attracted considerableattention. In particular, delay effect on the asymptotic behavior and other behaviors ofimpulsive difference equations with discrete ... of difference equations, specially, of difference equations with continuousvariables. In the recent years, the asymptotic behavior and other behavior of delay difference equations with continuous ... impulsive delay difference equations with continuousvariables,” Computers & Mathematics with Applications, vol. 55, no. 12, pp. 2732–2739, 2008.Advances in Difference Equations 3where xtx1t,...
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Báo cáo hoa học: " Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations" doc

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... Difference Equations 18 O. Doˇsl´y and S. Fiˇsnarov´a, “Linearized Riccati technique and non-oscillation criteria for half -linear difference equations, ” Advances in Difference Equations, ... half -linear difference equations, ” Journal of Difference Equations and Applications, vol. 7, no. 4, pp. 483–505, 2001.5 P.ˇReh´ak, “Oscillation and nonoscillation criteria for second order linear ... half -linear second order difference equations, ” Journalof Difference Equations and Applications, vol. 9, no. 1, pp. 49–61, 2003.8 M. Cecchi, Z. Doˇsl´a, and M. Marini, “Nonoscillatory half-linear...
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Báo cáo hóa học: "Research Article Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations" pdf

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... CorporationAdvances in Difference Equations Volume 2008, Article ID 718408, 21 pagesdoi:10.1155/2008/718408Research ArticleStability of Equilibrium Points of Fractional Difference Equations with Stochastic ... stochastic linear difference equations, ” Applied Mathematics Letters, vol. 10, no. 3, pp. 111–115, 1997.47 B. Paternoster and L. Shaikhet, “About stability of nonlinear stochastic difference equations, ” ... equivalent to the stability of theequilibrium point of 2.1.Together with nonlinear equation 2.2 we will consider and its linear partzn1kj0γjzn−j σznξn1,γjaj− bjxλ...
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Báo cáo hóa học: "Research Article Exponential Stability of Difference Equations with Several Delays: Recursive Approach" docx

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... andrelevant nonlinear equations has been an intensively developed area during the last twodecades.Let us compare stability methods for delay differential equations and delay difference equations. ... Many of the methods previously used for differential equations have also beenapplied to difference equations. However, there are at least two methods which are specificfor difference equations. ... ofdifference equations, ” Functional Differential Equations , vol. 15, no. 3-4, pp. 239–248, 2008.13 H. Matsunaga, T. Hara, and S. Sakata, “Global attractivity for a nonlinear difference equation with variable...
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Báo cáo hóa học: "DIFFERENCE EQUATIONS ON DISCRETE POLYNOMIAL HYPERGROUPS" doc

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... applications.However, linear difference equations with nonconstant coefficients present another im-portant class of di fference equations with much less hig hly developed methods and theo-ries. ... CorporationAdvances in Difference Equations Volume 2006, Article ID 51427, Pages 1–10DOI 10.1155/ADE/2006/514276Difference equations on discrete polynomial hypergroups4. Difference equations with general translationLet ... into hypergrouplanguage and technique, providing effective solution methods for a wide class of linear difference equations with nonconstant coefficients.Copyright © 2006´Agota Orosz. This is...
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Báo cáo hóa học: "A REMARK ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS" pdf

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... ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTSJITKA LAITOCHOV´AReceived 30 January 2006; Accepted 18 May 2006Abel functional equations are associated to a linear homogeneous ... functional equation, and linear homogeneous functional equa-tion in S with constant coefficients. T he classical theory of linear homogeneous functionaland difference equations is obtained as ... solution of the formf= λα(x), (3.3)where α satisfies Abel equation (3.1). Linear system (3.2)isalineardifference equation with constant coefficients of theformakf (x + k)+ak−1f (x + k − 1) +...
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