System of difference equations
On the solutions of a max type system of difference equations with period two parameters
... On the solutions of a max type system of difference equations with period two parameters Su et al Advances in Difference Equations (2018) 2018 358 https //doi org/10 1186/s13662 018 1826 1 R E S E A R[.] ...
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Boundedness Character of a Symmetric System of Max-type Difference Equations
... In this paper, we have dealt with the problem of boundedness character for a class of max-type difference system. And we have obtained some sufficient conditions which ensure the boundedness character of ...
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On a k Order System of Lyness Type Difference Equations
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2007, Article ID 31272, 13 pages doi 10 1155/2007/31272 Research Article On a k Order System of Lyness Type Difference Equations[.] ...
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Stability and Periodic Nature of A System of Difference Equations
... Di¤erence equations and their systems play a crucial role in di¤erent …elds of ...di¤erence equations or their ...di¤erence equations and their systems for ...
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Boundedness character of a fourth order system of difference equations
... difference equations and systems, especially those which are not closely related to differential ones, have attracted a lot of attention recently (see, for example, [–] and the references ...difference ...
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Product type system of difference equations with a complex structure of solutions
... to system () are obtained. The system has the most complex structure of solutions to all the related systems studied so far, and some of the forms of solutions appear for the first ...
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Solvable product type system of difference equations with two dependent variables
... It has been recently noticed that there is a finite number of two-dimensional classes of product-type systems of difference equations solvable in closed form. We present a new class of this type. A detailed analysis ...
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On a close to symmetric system of difference equations of second order
... Studying concrete nonlinear difference equations and systems is a topic of a great recent interest (see, e.g., [–] and the references therein). Studying systems of difference equa- tions, especially symmetric and ...
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Dynamics of a Rational System of Difference Equations in the Plane
... the system: the boundedness character and asymptotic behavior of its solutions, the existence of periodic orbits in particular, of prime period-two solutions, and the stability of the equilibrium ...
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Reducibility and Stability Results for Linear System of Difference Equations
... In this section, we give a theorem on the structure of the matrix Sn, and provide an example for illustration. The results in this section are discrete analogues of the ones given in 1 . Theorem 2.1. The homogeneous ...
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Existence of positive solutions for a system of Caputo fractional difference equations depending on parameters
... discrete nonautonomous systems within the frame of the Caputo fractional difference by using the Lyapunov direct method. They discussed the conditions for uniform stability, uniform asymptotic stability, and uniform ...
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On a singular system of fractional nabla difference equations with boundary conditions
... In this article, we study a boundary value problem of a class of linear singular systems of fractional nabla difference equations whose coefficients are constant matrices. By taking into consideration the cases that ...
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Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
... Fractional difference calculus is a powerful tool for studying problems in many fields such as biology, mechanics, control systems, ecology, electrical networks and other areas (see [1–10] and the references therein). ...
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Periodic solutions of a discrete time diffusive system governed by backward difference equations
... One question arises naturally. Does the discrete analog of system (1.1) have a posi- tive periodic solution? The purpose of this paper is to answer this question to some ex- tent. More precisely, we consider the ...
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On the Solution of Some Difference Equations
... [47] I Yalçınkaya, B D Iricanin and C Cinar. On a max-type difference equation. Discrete Dy- namics in Nature and Society, 2007:10 pages, Article ID 47264, doi: 1155/2007/47264. [48] I Yalçınkaya. On the global ...
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A coupled system of fractional q integro difference equations with nonlocal fractional q integral boundary conditions
... In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. ...
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Asymptotic behavior of a system of two difference equations of exponential form
... Difference equations have many applications in applied sciences, there are many papers and books that can be found concerning the theory and applications of difference equations, see [1, 4, 6, ...
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Dynamics of a fourth order system of rational difference equations
... the system has no prime period-two ...a system based on the knowledge of its present ...the system and deter- mining which initial conditions lead to these long-term ...
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Asymptotic behavior of a system of linear fractional difference equations
... Notice that system (1.1), in some cases, can have equilibrium points which belong to the coordinate axes as, for instance, when a = 0 and/or d = 0. As we mentioned earlier, the case a = d = 0 has been considered ...
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DYNAMICS OF A SECOND-ORDER SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS
... In this section, we investigate the stability of system (1.1). Further, we …nd out negative equilibrium point of system (1.1) is locally asymptotically stable and if initial values are in ( 1; 0), then ...
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