Results 41 to 50 of about 214,223 (194)
OSCILLATORY PROPERTIES OF THIRD ORDER NEUTRAL DELAY DIFFERENCE EQUATIONS
Demonstratio Mathematica, 2002 This paper is devoted to the oscillatory properties of a third order neutral difference equation of the form \[ \Delta \left( c_n\Delta \left( d_n\Delta \left( y_n+p_ny_{n-k}\right) \right) \right) +q_nf\left( y_{n-m}\right) =e_n. \] Some sufficient conditions are obtained for oscillation of the solutions of the above equation.
Thandapani, E., Mahalingam, K.
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Representation of solutions of a solvable nonlinear difference equation of second order
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a representation of well-defined solutions to the following nonlinear second-order difference equation $$x_{n+1}=a+\frac{b}{x_n}+\frac{c}{x_nx_{n-1}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c$, and initial values $x_{-1}$ and $x_0 ...
Stevo Stevic +3 more
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Global behavior of a third order difference equation
Tamkang Journal of Mathematics, 2012 The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation\[x_{n+1}=\frac{A+Bx_{n-1}}{C+Dx_{n}x_{n-2}},\qquad n=0,1,2,\ldots\] where $A,B$ are nonnegative real numbers and$C, D>0$.
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Open Mathematics, 2022 In this article, we consider a discrete nonlinear third-order boundary value problem Δ3u(k−1)=λa(k)f(k,u(k)),k∈[1,N−2]Z,Δ2u(η)=αΔu(N−1),Δu(0)=−βu(0),u(N)=0,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{\Delta }^{3}u\left(k-1)=\lambda a\left(k)f ...
Li Huijuan +2 more
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Basins of Attraction for Third-Order Sigmoid Beverton Holt Difference Equation
MathematicsThe third-order difference equation yn+1=a1yn21+yn2+a2yn−121+yn−12+a3yn−221+yn−22, as a potential discrete time model of population dynamics with three generation involved, is studied.
Mustafa R. S. Kulenović, Ryan Sullivan
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Open Mathematics, 2021 In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function a(t)a\left(t) and the Green function G(t,s)G\left(t,s) both change their sign.
Cao Xueqin, Gao Chenghua, Duan Duihua
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Existence and nonexistence outcomes for a third-order $ q $-difference equation
AIMS MathematicsIn this paper, using the Schauder and the Banach fixed point (FP) theorems, we examine the existence and uniqueness of solutions in the Banach space $ C([0, 1]) $ for a boundary value problem (BVP) of non-linear third-order $ q $-difference equations ...
Nihan Turan, Aynur Şahin
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Oscillatory criteria for Third-Order difference equation with impulses
Journal of Computational and Applied Mathematics, 2009 The authors investigate the oscillation of a mathematical formula for a third-order difference equation with impulses. Some sufficient conditions for the oscillatory behavior of the solution of a third-order impulsive difference equation are obtained. Finally, some examples are included to illustrate the results.
Li, Qiaoluan +4 more
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Oscillatory behavior of half-linear third order delay difference equations with non canonical operators [PDF]
, 2022 M. Nazreen Banu, S. Mehar Banu
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Dynamics of the third order Lyness' difference equation [PDF]
Journal of Difference Equations and Applications, 2007 46 pages.
Cima, Anna +2 more
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