linear difference equations with discrete transforms method

... Trang 1EQUATIONS WITH SMALL PARAMETERSTAHIA ZERIZER Received 14 December 2005; Revised 5 April 2006; Accepted 26 April 2006 We consider a boundary value problem for a linear difference equation with ... convergence of the proposed iterative method.Section 3 is mainly devoted to validate the effectiveness of our method, compared with the singular perturbation method We consider a right end perturbation ... comparison with the other formal method requires the analysis of its re-sults We conclude withSection 4 2 Main result 2.1 Formal asymptotic solution In this section, we develop a perturbation method

Ngày tải lên: 22/06/2014, 22:20

... integrodifferential equations with unbounded de-lay, and, especially, of linear (non-neutral) integrodifferential equations with unboundeddelay Our purpose in this paper is to give the discrete analogues ... the behavior of solutions of linear neutral Volterra difference equationswith infinite delay, and, especially, of linear (non-neutral) Volterra difference equationswith infinite delay Our results ... difference equations, for the behavior investiga-of the solutions investiga-of certain linear delay difference equations with continuous variable aswell as for the behavior of solutions of a linear

Ngày tải lên: 22/06/2014, 22:20

... the fourth section, we present applications to discrete Volterra difference equations with infinite delay During the last few years discrete Volterra equations have emerged vigorously in several ... whereL : Ꮾ → C r is a bounded linear operator and f ∈ C1(Ꮾ,Cr) with f (0) = f (0)=0 This paper deals with maximal regularity for functional difference equation with in-finite delay under the ... di fference systems with in-finite delay, Computers & Mathematics with Applications 42 (2001), no 3–5, 671–685. [10] , Convergent solutions of linear functional di fference equations in phase

Ngày tải lên: 22/06/2014, 22:20

... (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 ( ... 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

... 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 ... exponential stability and given a formula for the stability radius of time-invarying linear dynamic equations with linear disturbance on time scales by giving the domain of exponential stability and ... formula of the stability radius were extended to linear time-invariant differential-algebraic systems [6, 7]; and to linear time-varying differential and difference-algebraic systems [8, 9] On the

Ngày tải lên: 22/03/2014, 11:20

... 0, b0/ 0, and p, q ∈ Z. Trang 2Unlike the method used by Olver4 to treat asymptotic solutions of second-order linear differential equations, the method used in Wong and Li’s papers cannot give ... expansion of solutions to second-order linear difference equations is an old subject The earliest work as we know can go back to 1911 when Birkhoff 1 first deal with this problem More than eighty ... pagesdoi:10.1155/2010/594783 Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case L H Cao1, 2 and J M Zhang3 1 Department of Mathematics, City

Ngày tải lên: 21/06/2014, 11:20

... pagesdoi:10.1155/2009/521058 Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations Ondˇrej Do ˇsl ´y1 and Simona Fi ˇsnarov ´a2 1 Department of Mathematics and ... certain nonlinear function which appears in the Picone-type identity for1.1 The recessive solution of1.1 is a discrete counterpart of the concept of the principal solution of the half-linear ... that R m  u m ≤ 0 from 4.4 On the other hand, 4.3 together with 4.4 and the fact that R k x/ R k  x is increasing with respect to x on −v∗ k , 0 imply that v k ≤ u k for k ≥ N Since

Ngày tải lên: 21/06/2014, 20:20

... Trang 1fference EquationsVolume 2008, Article ID 718408, 21 pages doi:10.1155/2008/718408 Research Article Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations ... very large interest in studying the behavior of solutions of nonlineardifference equations, in particular, fractional difference equations 1 38 This interest really is so large that a necessity ... known results in the theory of stability of stochastic difference equations that were obtained via V Kolmanovskii and L Shaikhet general method of Lyapunov functionals construction can be successfully

Ngày tải lên: 22/06/2014, 11:20

... 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 Many ... Many of the methods previously used for differential equations have also been applied to difference equations However, there are at least two methods which are specific for difference equations The ... One of the methods to establish stability of difference equations is based on a recursive form of these equations; see the monographs1,2 The following result was also obtained by this method Lemma

Ngày tải lên: 22/06/2014, 11:20

... Trang 1fference EquationsVolume 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 ... (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 ... periodic solutions of difference equations To the best of our knowledge, little work has been done on almost periodic solutions of nonlinear functional difference equations with finite de-lay via uniform

Ngày tải lên: 22/06/2014, 22:20

... 1fference EquationsVolume 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 ... a discrete version of the results given in 9 Theorem 3.1 Let p ≥ 2, c k ≥ c k for large k, ∞  1 and suppose that linear equation 3.1 with R, C given by 1.9 is nonoscillatory Then half-linear ... number of p, and with a certain distinguished solutionh of 1.7 This enables to apply the deeply developed linear oscillation theory when investi-gating oscillations of half-linear equation1.1

Ngày tải lên: 22/06/2014, 22:20

... 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 ... 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, ... 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

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 ... recurrences, J Differential Equations 107 (1994), no 2, 238–258 C D Ahlbrandt and A C Peterson, Discrete Hamiltonian Systems Difference Equations, Continued Fractions, and Riccati Equations, Kluwer ... 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

... when the methods are applied to dissi-pative problems In such a case, the first approximation theorem permits to transform the nonlinear problem into a linear one Regarding the class of linear ... the discrete mesh It is worth to note that when the discrete equation is of higher order with respect to the continuous initial value problem, it is not necessary to approximate the latter with ... impose several limitations on the choice of the methods in the class of LMMs used as initial value methods (IVMs) As matter of fact, there are not methods with order greater than two having the critical

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 ... give discrete analogues of the above-quoted results for third-order differential equations. Moreover, the oscillation of (E)and(E A ) is characterized by means of second-order linear difference equations

Ngày tải lên: 23/06/2014, 00:20

... Trang 1HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONSWITH STRONG SINGULARITIES R P AGARWAL AND I KIGURADZE Received 4 April 2004; Revised ... December 2004; Accepted 14 December 2004 For strongly singular higher-order linear differential equations together with two-pointconjugate and right-focal boundary conditions, we provide easily ... b[) (L2α,β(]a, b[)) is the space of integrable (square integrable) with the weight (t − a) α(b − t) βfunctionsy :]a, b[ → Rwith the norm α(]a, b])) is the space of functions y ∈ Lloc(]a, b[)

Ngày tải lên: 23/06/2014, 00:20

... 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 ... operator The result is considered as an discrete version of a previous result for time-varying ordinary differential equations [1]. Keyvvords: Robust stabiliry Linear difference equation, Input-output ... perturbation and A is an unknown disturbance We now want to study a discrete version of this work by considering a difference equation with coeffrcients varying in time r(n * I) : (An * EnL,Fn)n(n),

Ngày tải lên: 14/12/2017, 14:47

... 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 ... exponential stability and given a formula for the stability radius of time-invarying linear dynamic equations with linear disturbance on time scales by giving the domain of exponential stability and ... parametri,zed linear differential-algebraic Kaiserslautem 2000 (1999)379 t7l N H Du, Stability radii for differential-algebraic equations, Vietnam J Math.,2'l with respect to dynamic differential-equations

Ngày tải lên: 14/12/2017, 14:52

... SCIENCE Ngô Thi Thanh Nga STABILITY AND ROBUST STABILITY OF SINGULAR LINEAR DIFFERENCE EQUATIONS Speciality: Dierential and Integral Equations Speciality Code: 62 46 01 03 THESIS FOR THE DEGREE OFDOCTOR ... is usually described by dierential and dierence equations In discrete-timescale, mathematical models lead to dierence equations Dierence equationsplay important roles in many areas such as ... robust stability of singular discrete-time systems with or without delay,see [7, 33, 34, 44, 58, 63, 74, 75] For example, in [7] the authors investigatedthe stability of linear switched singular

Ngày tải lên: 15/09/2020, 06:59

... Issue-6; Jun, 2022INVERSE OF THE GENERALIZED VANDERMONDE MATRIX VIA THE FUNDAMENTAL SYSTEM OF LINEAR DIFFERENCE EQUATIONS CLAUDEMIR ANIZ AND MUSTAPHA RACHIDI Instituto de Matem´atica INMA, UFMS, Av Costa ... Van-dermonde matrix, using the analytic properties of a fundamental system related to a specific linear difference equations We establish two approaches allowing us to provide explicit formulas for the ... Words: Generalized Vandermonde matrix; Inverse of the generalized Vander-monde matrix; Linear difference equations; Analytic formulas; Fibonacci funda-mental system. 2010 Mathematical Subject

Ngày tải lên: 11/10/2022, 16:50