delay-difference equations
Asymptotic behavior of impulsive non autonomous delay difference equations with continuous variables
... besides delay effects, impulsive effects likewise exist in a wide variety of evolutionary process, in which states are changed abruptly at certain moments of ...impulsive delay difference ...
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Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model
... The rest of this article is organized as follows. In Section 2, we introduce our nota- tions and definitions. Then in Section 3, we present a theorem of impulsive stabiliza- tion for delay difference ...
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Chaotification for linear delay difference equations
... This paper is concerned with chaotification of linear delay difference equations via the feedback control technique. The controlled system is first reformulated into a linear discrete dynamical system. Then, a ...
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On stability of delay difference equations with variable coefficients: successive products tests
... difference equations with variable coefficients, as well as of non-autonomous systems of difference equations, is much more complicated than that of the relevant autonomous models; see, for example, [, ...
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An asymptotic result for some delay difference equations with continuous variable
... linear delay differen- tial equations with constant coefficients and one constant ...linear delay di ff erential equations with in- finitely many distributed ...for delay differ- ential ...
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Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables
... 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 descriptions of ...
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The distribution of generalized zeros of oscillatory solutions for second order nonlinear neutral delay difference equations
... dynamic equations and second-order non-neutral dynamic equations on time scale can be found in ...dynamic equations are sufficient conditions for oscillation; see ...dynamic equations on time ...
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Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces
... [11] A. R. Mitchell and C. Smith, An existence theorem for weak solutions of differential equations in Banach spaces, Nonlinear Equations in Abstract Spaces (Proc. Internat. Sympos., Univ. Texas, Arlington, ...
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Existence and iterative approximations of nonoscillatory solutions for second order nonlinear neutral delay difference equations
... in terms of the Mountain Pass theorem relying on Ekeland’s variational principle and the diagonal method. Yu et al. [] established the existence of a periodic solution for equation (.) by means of the critical point ...
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Chaotic behavior in a class of delay difference equations
... of delay difference equations, which can be viewed as a discrete analogue of a one-dimensional delay differential equation by using the Euler ...of delay difference equations into a ...
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Oscillation Theorems for a Second Order Delay Difference Equations
... 10. P.Mohankumar and A.Ramesh, Oscillatory Behaviour Of The Solution Of The Third Order Nonlinear Neutral Delay Difference Equation, International Journal of Engineering Research & Technology (IJERT) ...
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Oscillation of higher order delay difference equations
... The oscillatory behavior of difference equations has been intensively studied in recent years. Most of the literature has been concerned with equations of type (1.1) with l = 1 (see [1–10] and references ...
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Periodic solutions for a coupled pair of delay difference equations
... Based on the fixed-point index theory for a Banach space, positive periodic solutions are found for a system of delay di ff erence equations. By using such results, the existence of nontrivial periodic ...
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On multiplicity of solutions to nonlinear partial difference equations with delay
... difference equations has been developed by means of different tools such as comparison principle, Schauder type fixed point the- orem, Banach’s contraction principle, method of upper and lower solutions, the method ...
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Well posedness of delay parabolic difference equations
... of delay partial differential equations has received less attention than delay ordinary differential ...differential equations when the delay term is an operator of lower order with ...
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Frequent Oscillatory Behavior of Delay Partial Difference Equations with Positive and Negative Coefficients
... difference equations are difference equations that involve functions with two or more independent integer ...Such equations arise from considerations of random walk problems, molecular structure ...
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On linear Volterra difference equations with infinite delay
... Our purpose in this paper is to give the discrete analogues of the results in [19, 21, 33]. Here, we study the behavior of solutions of linear neutral Volterra difference equations with infinite delay, and, ...
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Quasilinearization for nonlinear boundary value problems for delay type difference equations with maxima
... The paper deals with an approximate method for solving a mixed boundary value problem for nonlinear difference equations containing a maximum of the unknown function over a past time interval. Every successive ...
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Existence of periodic solutions for a type of linear difference equations with distributed delay
... the equations r (s) - U (s) = 0 and ρ ϕ ˜ (s) − ˜ U ϕ ˜ (s) = 0 have the same number of independent solutions, which implies in particular the fact that U and U ˜ have the same eigenvalues, hence if r is a ...
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Oscillation Properties for a Class of Delay Partial Difference Equations with Three Parameters
... Abstract—The aim of this paper is to investigate the oscillato- ry properties of solutions for a class of delay partial difference equation with three parameters. In order to study the oscillation results, ...
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