linear difference equations with constant coefficients

... Trang 1 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales Le Hong Lan!*, Nguyen Chi Liem? | Department of ... (1—a)A] < 0}, where we use the convention In0 = —oo 5 Stability radius of linear dynamic equations with constant coefficients on time scales Assume that the nominal equation a® = Aa (10) is ... time-invarying dynamic equations with respect to linear dynamic perturbations on time scales A formula for the stability radius is given Keywords and phrases : time scales, exponential function, linear dynamic

Ngày tải lên: 22/03/2014, 11:20

... Joumal of Science, Mathematics - Physics 26 (2010) 163-173 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales , TDepartment Le Hong Lanl'*, Nguyen Chi LierrP ... convention lnO : "(It}+tnl1+'\l)(n-m) s{2m*1and 2n{t ( 2n*1 -oo Stability radius of linear dynamic equations with constant coefficients on time scales Assume that the nominal equation rL:Ar is uniformly ... time-invarying dynamic equations with respect to linear dynamic pe(urbations on time scales A formula for the stability radius is given Keywords and phrases : time scales, exponential function, linear dynamic

Ngày tải lên: 14/12/2017, 14:52

... Received 10 August 2010 Abstract. 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) 175-184 Stability Radii for Difference Equations with Time-varying Coefficients Le Hong Lan* Department of Basic Sciences, University of Transport ... discrete version of a previous result for time-varying ordinary differential equations [1]. Keywords: Robust stability, Linear difference equation, Input-output operator, Stability ra- dius 1. Introduction

Ngày tải lên: 21/07/2014, 16:21

... Joumal of Science, Mathematics - Physics 26 (2010) 175-184 Stability Radii for Difference Equations with Time-varyrng Coefficients Le Hong Lan* Department of Basic Sciences, University of Transport ... hetnam Received l0 Auzust 2010 Abstract This paper deals with a formula of stability radii for an linear difference equation (LDEs for short) with the coeffrcients varying in time under structured ... discrete version of a previous result for time-varying ordinary differential equations [1] Keyvvords: Robust stabiliry Linear difference equation, Input-output operatoq Stability raIt is shown that

Ngày tải lên: 14/12/2017, 14:47

... (2015) 39-48 40 difference equations In Section 3, we present the main result on the asymptotic behavior of the solutions of constant coefficient linear implicit difference equations with index Supposing ... results for the constant coefficient implicit difference equations with perturbations in both sides Consider the linear implicit difference equation with constant coefficient Ex ( n + 1) = Ax ( n ... August 2015 Abstract: In this paper, we deal with the asymptotic behavior of solutions of constant coefficient linear implicit difference equations with index Supposing that all solutions of the

Ngày tải lên: 15/12/2017, 05:35

... for k... Solutions of Half -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 form Δ Φ ... second-order linear difference equation with arbitrary sign coefficient are established. Relations with the so-called M-classification are also analyzed and a generalization of the results to the half- linear ... addition, we discuss relations with the sets of 2 Advances in Difference Equations recessive and dominant solutions. A possible extension to the case of half -linear difference equations is also indicated.

Ngày tải lên: 21/06/2014, 11:20

... of difference equations, specially, of difference equations with continuous variables In the recent years, the asymptotic behavior and other behavior of delay difference equations with continuous ... cited Introduction Difference equations with continuous variables are difference equations in which the unknown function is a function of a continuous variable These equations appear as natural ... Advances in Difference Equations Volume 2009, Article ID 495972, 13 pages doi:10.1155/2009/495972 Research Article Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous

Ngày tải lên: 21/06/2014, 20:20

... half -linear difference sa equations, ” Journal of Difference Equations and Applications, vol 10, no 9, pp 797–808, 2004 16 Advances in Difference Equations 18 O Doˇ ly and S Fiˇ narov´ , “Linearized ... half -linear difference equations, ” Journal of Mathematical Analysis and Applications, vol 252, no 2, pp 813–827, 2000 ˇ a P Reh´ k, “Oscillatory properties of second order half -linear difference equations, ” ... of half -linear difference equations, ” Mathematical and Computer Modelling, vol 34, no 3-4, pp 257–269, 2001 ˇ a P Reh´ k, “Oscillation criteria for second order half -linear difference equations, ”

Ngày tải lên: 21/06/2014, 20:20

... Advances in Difference Equations Volume 2008, Article ID 718408, 21 pages doi:10.1155/2008/718408 Research Article Stability 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, ... 4.22 with the initial conditions x−1 4, x0 −3 and x−1 −0.51, x0 −0.5 are shown in the point B Figure 15 with p q 1 One... Dynamics of Second Order Rational Difference Equations: With

Ngày tải lên: 22/06/2014, 11:20

... attractivity for a nonlinear difference equation with variable delay,” Computers & Mathematics with. .. Ishiwata, and N Guglielmi, “Global stability for nonlinear difference equations with variable ... relevant nonlinear equations has been an intensively developed area during the last two decades. Let us compare stability methods for delay differential equations and delay difference equations. ... delay differential equation with piecewise constant arguments at integer points. The second method is based on a recursive form of difference 2 Advances in Difference Equations equations and is described

Ngày tải lên: 22/06/2014, 11:20

... difference equations with infinite delay, Journal of Difference Equations and Applications 10 (2004), no 7, 661–689 [17] S Murakami, Representation of solutions of linear functional difference equations ... diffe rence systems with in- finite delay, Computers & Mathematics with Applications 42 (2001), no. 3–5, 671–685. [10] , Convergent solutions of linear functional difference equations in phas ... where L : Ꮾ → C r is a bounded linear operator and f ∈ C 1 (Ꮾ,C r )with f (0) = f  (0) = 0. This paper deals with maximal regular ity for functional difference equation with in- finite delay under

Ngày tải lên: 22/06/2014, 22:20

... difference equations with unbounded delay,” to appear in Journal of Computational and. .. Liu, and K Gopalsamy, Almost periodic solutions of nonautonomous linear difference equations, ... [1]to(1.1). Delay difference equations or functional difference equations (no matter with finite or infinite delay), inspired by the development of the study of delay differential equations, have been studied ... in Difference Equations Volume 2007, Article ID 68023, 15 pages doi:10.1155/2007/68023 Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay

Ngày tải lên: 22/06/2014, 22:20

... Difference Equations Volume 2008, Article ID 438130, 18 pages doi:10.1155/2008/438130 Research Article Linearized Riccati Technique and (Non-)Oscillation Criteria for Half -Linear Difference Equations ... half -linear difference equations, ” Mathematical and Computer Modelling, vol 34, no 3-4, pp 257–269, 2001 ˇ a 6 P Reh´ k, “Oscillation criteria for second order half -linear difference equations, ” ... Let p ≥ 2 and let linear equation 1.6 be nonoscillatory. Then 1.4 is also nonoscillatory. ii Let p ∈ 1, 2 and let half -linear equation 1.4 be nonoscillatory. Then linear equation 1.6

Ngày tải lên: 22/06/2014, 22:20

... scalar linear delay differen- tial equations with constant coefficients and one constant delay. See Driver [2]forsome similar impor t ant results for first-order scalar linear delay differential equations ... nusual properties of difference equations (and, in particular, of difference equations with continuous variable). For some results on the oscillation of difference equations with continuous variable, ... FOR SOME DELAY DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLE CH. G. PHILOS AND I. K. PURNARAS Received 14 October 2003 We consider a nonhomogeneous linear delay difference equation with continuous

Ngày tải lên: 23/06/2014, 00:20

... tion for half -linear equations, in preparation M Cecchi, Z Doˇl´ , and M Marini, On recessive and dominant solutions for half -linear differsa ence equations, J Differ Equations Appl ... for half -linear equations Theorem 3.2 (see [11]). If (1.1) is nonoscillatory, recessive solutions of (1.1) exist and they are determined up to a constant factor. Analogously to the linear case, ... k, Nonoscillatory criteria for half -linear second order difference equations, sy Comput... 201/04/0580 204 Recessive solutions for half -linear equations References [1] [2] [3] [4]

Ngày tải lên: 23/06/2014, 00:20

... to transform the nonlinear problem into a linear one. Regarding the class of linear multistep meth- ods (LMMs), the propagation of the errors can be studied by means of a linear difference equation ... methods leads to considering linear dif- ference equations depending on a complex parameter q. Essentially, the associated char- acteristic polynomial must have constant type for q ∈ C − . Usually ... ONE PARAMETER FAMILY OF LINEAR DIFFERENCE EQUATIONS AND THE STABILITY PROBLEM FOR THE NUMERICAL SOLUTION OF ODEs L. ACETO, R. PANDOLFI,

Ngày tải lên: 23/06/2014, 00:20

... these equations are not adjoint equations and are referred to as quasi-adjoint equations. Equation (E) is a special case of linear nth-order difference equations with quasi-differ- ences. Such equations ... ON THIRD-ORDER LINEAR DIFFERENCE EQUATIONS INVOLVING QUASI-DIFFERENCES ZUZANA DO ˇ SL ´ A AND ALE ˇ SKOBZA Received 30 June 2004; Revised ... third-order linear difference equation with quasi-differences and its adjoint equation. The main results of the paper describe relationships between the oscillatory and nonoscillatory solutions of both equations.

Ngày tải lên: 23/06/2014, 00:20

... support of my PhD study and related research; for their patience, motivation and immense knowledge Without their help I could not have overcome the difficulties in research and study I would like ... on Computational and Applied Mathematics", and also to the members of "Seminar on Differential Equations and Dynamical Systems" at the Faculty of Mathematics, Mechanics and Informatics, VNU University ... Study in Mathematics, my friends, and many other people beside me for their love, motivation and constant guidance Thanks all for your love and support! ❆❜str❛❝t ❚❤✐s ✇♦r❦ ✐s ❝♦♥❝❡r♥❡❞ ✇✐t❤ ❧✐♥❡❛r

Ngày tải lên: 15/09/2020, 06:59

... (2014), "Rayleigh waves with impedance boundary conditions in anisotropic solids", Wave Motion (51), pp 1082-1092 Pham Chi Vinh, Trinh Thi Thanh Hue (2014), "Rayleigh waves with impedance boundary ... (2011), "Sufficient uniqueness conditions for the solution of the time harmonic Maxwell’s equations associated with surface impedance boundary conditions", Journal of Computational Physics 230, pp ... Oxford University Press, New York [66] T C T Ting (2002), Explicit secular equations for surface waves in monoclinic materials with the symmetry plane at x1 = 0, x2 = or x3 = 0, Proc R Soc Lond A 458,

Ngày tải lên: 20/02/2021, 16:45