Results 31 to 40 of about 440,924 (308)
Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations
, 2023 This paper investigates the dynamics of non-autonomous competitive systems of difference equations with asymptotically constant coefficients. We are mainly interested in global attractivity results for such systems and the application of such results to ...
Susan Trolle +3 more
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Limiting Values and Functional and Difference Equations
, 2020 Boundary behavior of a given important function or its limit values are essential in the whole spectrum of mathematics and science. We consider some tractable cases of limit values in which either a difference of two ingredients or a difference equation ...
Praveen Agarwal +2 more
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Fractional Order Difference Equations
International Journal of Differential Equations, 2012 A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
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Difference–Differential Equations [PDF]
Nature, 1948 THE general linear homogeneous difference–differential equation with constant coefficients is where 0 ⩽ μ ⩽m, 0⩽ν ⩽ n, y(ν)(t) is the ν-th derivative of the unknown function y (t) and 0 = b0 bm, if amn≠ 0. (2) Was first given by Hilb8, but under conditions which would exclude most of the applications.
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Approximative solutions of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Asymptotic properties of solutions of difference equations of the form $$ \Delta^m x_n=a_nf(n,x_{\sigma(n)})+b_n $$ are studied. Using the iterated remainder operator and fixed point theorems we obtain sufficient conditions under which for any solution
Janusz Migda
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Differential-difference equations reducible to difference and q-difference equations
Computers & Mathematics with Applications, 2001 Asymptotic properties of solutions of the differential-difference equation \[ x'(qt+1)=h(x(t))x'(t), \quad t\geq 0,\;q\geq 1 \tag{*} \] are investigated. Let \(\varphi\in C^1([0,1];\mathbf R)\) satisfies \(\varphi'(1)=h(\varphi(0))\varphi'(0)\). A solution \(x\) of (*) satisfying \(x(t)=\varphi(t)\), \(t\in [0,1)\), is denoted by \(x_{\varphi}\).
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On a Difference-Delay Equation
Journal of Mathematical Analysis and Applications, 2000 The behaviour of continuous real solutions \(f(t)\) to the equation \[ f(t)=a_1f(t+h_1) +a_2f(t+h_2) \] and its dependence on the real positive constants \(a_1,a_2, h_1,h_2\) is studied. Definite answers are given except in the case \(h_1/h_2\) is rational.
Davies, Roy O., Ostaszewski, A.J.
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Oscillatory mixed difference systems [PDF]
, 2006 The aim of this paper is to discuss the oscillatory behavior of difference systems of mixed type. Several criteria for oscillations are obtained. Particular results are included in regard to scalar equations. Copyright © 2006 J. M.
Ferreira, José M. +4 more
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Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations
, 2023 In this paper, we study the semi-cycle analysis of positive solutions and the asymptotic behavior of positive solutions of three-dimensional system of difference equations with a higher order under certain parametric conditions.
Fatma E. Mansour +5 more
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, 2020 In this paper, by using the Banach contraction principle and the Schauder’s fixed point theorem, we investigate existence results for a fractional impulsive sum-difference equations with periodic boundary conditions.
Rujira Ouncharoen +2 more
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