linear difference equations with constant coefficients
Báo cáo hóa học: "A REMARK ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS" pdf
... ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS JITKA 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 ... 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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Báo cáo hóa học: "PERTURBATION METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS" pot
... −|ε|/ε0, (2.19) with the chosen norm, we obtain (2.5).3. Comparison with singular perturbation methodIn this section, we consider a right end perturbation [12]. We are concerned with theboundary ... y(0)k,0≤ k ≤ N − n − m, can be computed without any knowledge of theboundary conditions yN−k= βk,0≤ k ≤ m − 1. By analogy with the case of differential equations, we can say that there are m ... compared with the singular perturbation method. We consider a right endperturbation (small parameters are situated on the right), and we deduce the results fromSection 2. The comparison with the...
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Báo cáo hóa học: "REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY" ppt
... motivation of our investigation goesback to [10] dealing with the linear system of differential equations with constant coeffi-cients and constant delay. One of the systems considered has the form˙x(t)= ... for example, in the recent papers [2–9, 11–13].REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAYJ. DIBL´IK AND D. YA. KHUSAINOVReceived 16 January ... develop a method for construction of solutionsof linear discrete systems with constant coefficients and w ith pure delay. Solutions areexpressed with the aid of a special function called the discrete...
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Báo cáo " Stability Radii for Difference Equations with Time-varying Coefficients " ppt
... 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 parameter ... Journal of Science, Mathematics - Physics 26 (2010) 175-184Stability Radii for Difference Equations with Time-varying Coefficients Le Hong Lan*Department of Basic Sciences, University of Transport ... discrete version ofa previous result for time-varying ordinary differential equations [1].Keywords: Robust stability, Linear difference equation, Input-output operator, Stability ra-dius1. IntroductionMany...
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Báo cáo hóa học: "ON LINEAR VOLTERRA DIFFERENCE EQUATIONS WITH INFINITE DELAY" pdf
... the behavior of solutions of linear neutral Volterra difference equations with infinite delay, and, especially, of linear (non-neutral) Volterra difference equations with infinite delay. Our results ... delay difference equations, for the behaviorof the solutions of certain linear delay difference equations with continuous var iable aswell as for the behavior of solutions of a linear Volterra ... solutions of linear neutral integrodifferential equations with unbounded de-lay, and, especially, of linear (non-neutral) integrodifferential equations with unboundeddelay.Our purpose in this paper...
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Báo cáo hóa học: " Difference inequality for stability of impulsive difference equations with distributed delays" pdf
... 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” ... in terms of Theorem 3.1.Remark 3.3.IfHk(x)=x, then Equation 2 becomes difference equations with distrib-uted delays without impulses in vector formx(m +1)=Ax(m)+Bf (x(m)) + C∞k=1μkg...
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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
... 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 ... weconsider a 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, ... isa constant. And ln satisfies Cl supn{n2|ln|} being a constant; here we have made use ofthe definitions of αi,ρiin 1.5, 1.7,and2p − q 1.Equation 3.8 is a second-order linear...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
... 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 formΔΦΔyk ... 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
... 1.2 with α 0, and λj−K0 ≤ 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 ... N is even, there exists a constant η0>μN−2such that fη0 ≥ 2, which, together with Proposition 3.6, implies that 1.1 and 1.2 with Advances in Difference Equations 17α 0; α/...
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Báo cáo hoa học: " Research Article Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variable" docx
... 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 ... networks difference equation with delays and impulses,” Neural Networks. In press.11 Q. Zhang, “On a linear delay difference equation with impulses,” Annals of Differential Equations, vol.18, no. ... impulsive delay difference equations with continuousvariables,” Computers & Mathematics with Applications, vol. 55, no. 12, pp. 2732–2739, 2008.Advances in Difference Equations 3where xtx1t,...
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Báo cáo hoa học: " Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations" doc
... 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 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 ... of solutions ofhalf -linear difference equations, ” submitted.10 M. Cecchi, Z. Doˇsl´a, M. Marini, and I. Vrkoˇc, “Asymptotic properties for half -linear difference equations, ” Mathematica...
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Báo cáo hóa học: "Research Article Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations" pdf
... 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, ” ... M. Nurkanovi´c, “Asymptotic behavior of a competitive system of linear fractional difference equations, ” Advances in Difference Equations, vol. 2006, Article ID 19756, 13 pages,2006.27 M. R....
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Báo cáo hóa học: "Research Article Exponential Stability of Difference Equations with Several Delays: Recursive Approach" docx
... 1.Now let us assume that all coefficients are proportional. Such equations arise as linear approximations of nonlinear difference equations in mathematical biology. Then astraightforward computation ... Difference Equations and Applications, vol. 1, no. 2, pp. 151–161, 1995.10 J. S. Yu, “Asymptotic stability for a linear difference equation with variable delay,” Computers &Mathematics with ... 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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