linear difference equations
Growth of solutions of some kinds of linear difference equations
... Growth of solutions of some kinds of linear difference equations Wu and Zheng Advances in Difference Equations (2015) 2015 142 DOI 10 1186/s13662 015 0485 8 R E S E A R C H Open Access Growth of solut[.] ...
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Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions
... The main novelty of our paper is that we prove the existence of the limit of the solutions of the above equations under much weaker conditions than 1.9. Moreover, utilizing our new limit formula, we show that some ...
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Periodic solutions of a generalized system of piecewise linear difference equations
... piecewise linear difference equations examined in this paper was created as a prototype to understand the global behavior of systems like the Lozi ...
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On third order linear difference equations involving quasi differences
... of linear nth-order difference equations with quasi-differ- ...Such equations have been widely studied in the literature, see, for example, [6, 11] and the references ...
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Qualitative Research of First Order Linear Difference Equations
... 2. Braverman, E, Chatzarakis, GE, Stavroulakis, IP: Iterative oscillation tests for difference equations with several non- monotone arguments. J.Differ.Equ.Appl.21(9),854-874(2015). 3. Braverman, E, Karpuz, B: ...
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Nonoscillatory half linear difference equations and recessive solutions
... Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we ...
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Some roughness results concerning reducibility for linear difference equations
... Suppose that 2.1 ha a fttndamental matrix solution Xn which has an exponential dichotomy with a projection P and that 2.1 is reducible withP by the kinematic similarity Sn to 2.5... If Y[r] ...
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Perturbation method for linear difference equations with small parameters
... We consider a boundary value problem for a linear difference equation with several widely different coefficients. We study the existence and uniqueness of its solution and we give successive asymptotic approximations ...
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On linear difference equations over rings and modules
... 1. Introduction. Although the theory of linear difference equations over base fields is well understood, the theory over arbitrary ground rings and modules is still under development. It is becoming more ...
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On the Global Character of the System of Piecewise Linear Difference Equations and
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 573281, 14 pages doi 10 1155/2010/573281 Research Article On the Global Character of the System of Piecewise Lin[.] ...
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The stable equilibrium of a system of piecewise linear difference equations
... difference equations usually describe the evolution of a certain phe- nomenon over the course of ...difference equations of the first order is a system of the ...
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On growth of meromorphic solutions for linear difference equations with meromorphic coefficients
... Liu Advances in Difference Equations 2013, 2013 60 http //www advancesindifferenceequations com/content/2013/1/60 R ES EA RCH Open Access On growth of meromorphic solutions for linear difference equat[.] ...
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Summation Characterization of the Recessive Solution for Half Linear Difference Equations
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 521058, 16 pages doi 10 1155/2009/521058 Research Article Summation Characterization of the Recessive Solution f[.] ...
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Results on meromorphic solutions of linear difference equations
... In this paper, we investigate meromorphic solutions of linear difference equations and prove a number of results. We give estimates for the growth of meromorphic solutions under some special cases and ...
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New oscillation theorems for second order quasi linear difference equations with sub linear neutral term
... In this paper, by using a Riccati type transformation and the discrete mean value theorem we have established some new oscillation criteria for more general second order neutral difference equations. The obtained ...
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Periodicity of solutions of nonhomogeneous linear difference equations
... the linear difference equation, where one of the coefficients is periodic or con- stant and the others asymptotically approach zero, and obtained sufficient conditions for the existence of asymptotically periodic ...of ...
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On the meromorphic solutions of some linear difference equations
... This paper is devoted to studying the growth of meromorphic solutions of some linear difference equations. We obtain some results on the growth of meromorphic solutions when most coefficients in such ...
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Theory of nth order linear general quantum difference equations
... The organization of this paper is briefly summarized in the following. In Sect. 2, we present the needed preliminaries of the β-calculus from [6, 9–11]. In Sect. 3, we give the sufficient conditions for the existence and ...
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Asymptotic behavior of a competitive system of linear fractional difference equations
... The goals of this paper are to prove this conjecture and to prove the result on the rate of convergence of solutions of (1.1) in the cases of global asymptotic stability (1)–(3). Thus we will show that in some cases ...
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Solution of Stochastic Non Homogeneous Linear First Order Difference Equations
... In this paper, we present a new technique based on the direct transformation technique to express analytically the probability density function of the general solution of stochastic line[r] ...
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