Results 1 to 10 of about 440,924 (308)
New class of practically solvable systems of difference equations of hyperbolic-cotangent-type
Electronic Journal of Qualitative Theory of Differential Equations, 2020 The systems of difference equations $$x_{n+1}=\frac{u_nv_{n-2}+a}{u_n+v_{n-2}},\quad y_{n+1}=\frac{w_ns_{n-2}+a}{w_n+s_{n-2}},\quad n\in\mathbb{N}_0,$$ where $a, u_0, w_0, v_j, s_j$ $j=-2,-1,0,$ are complex numbers, and the sequences $u_n$, $v_n,$ $w_n$,
Stevo Stevic
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Positive Solutions of Difference Equations [PDF]
Proceedings of the American Mathematical Society, 1990 Necessary and sufficient condition for existence of positive solutions of the difference equation \((E)\quad (-1)^{m-1}\Delta^ mA_ n+\sum^{\infty}_{k=0}p_ kA_{n-\ell_ k}=0\) is established, where m is a positive integer, \((p_ k)_{k\geq 0}\) is a sequence of positive real numbers, \((\ell_ k)_{k\geq 0}\) is a sequence of integers with \(0\leq \ell_ ...
Philos, C. G., Sficas, Y. G.
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, 2020 In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Jiafa Xu +3 more
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Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay [PDF]
, 2020 In this paper, we introduce a high order numerical approximation method for convection diffusion wave equations armed with a multiterm time fractional Caputo operator and a nonlinear fixed time delay.
A. S. Hendy +4 more
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On the Periodicity of a Difference Equation with Maximum [PDF]
Discrete Dynamics in Nature and Society, 2008 We investigate the periodic nature of solutions of the max difference equation xn+1 = max{xn, A}/(xnxn−1), n = 0, 1, …, where A is a positive real parameter, and the initial conditions and such that r−1 and r0 are positive rational numbers. The results in this paper answer the Open Problem 6.2 posed by Grove and Ladas (2005).
Gelisken, Ali +2 more
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On oscillatory solutions of certain difference equations [PDF]
Opuscula Mathematica, 2006 Some difference equations with deviating arguments are discussed in the context of the oscillation problem. The aim of this paper is to present the sufficient conditions for oscillation of solutions of the equations discussed.
Grzegorz Grzegorczyk +1 more
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Dynamics of General Class of Difference Equations and Population Model with Two Age Classes
, 2020 In this paper, we study the qualitative behavior of solutions for a general class of difference equations. The criteria of local and global stability, boundedness and periodicity character (with period 2 k ) of the solution are established ...
Dimplekumar Chalishajar +3 more
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On difference equations with ‘B’-type solitons on three dimensional lattice
Partial Differential Equations in Applied MathematicsIn this paper we discuss an example of classical integrable equation with rather unusual ‘B’-type Kadomtsev–Petviashvili (KP) soliton hierarchy.
Sergey M. Sergeev
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Advances in Difference Equations, 2018 We represent general solution to a homogeneous linear difference equation of second order in terms of a specially chosen solution to the equation and apply it to get a representation of general solution to the bilinear difference equation in terms of a ...
Stevo Stević
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The Form of the Solutions of System of Rational Difference Equation
Journal of Mathematical Sciences and Modelling, 2018 In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers.
E. M. Elsayed, Marwa M. Alzubaidi
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