Results 71 to 80 of about 214,223 (194)
On a system of difference equations of third order solved in closed form
, 2021 Youssouf Akrour +2 more
openalex +2 more sources
Qualitative Behavior of Third Order Delay Difference Equations
International Journal of Computational and Experimental Science and EngineeringWe examine the qualitative behavior of solutions to a particular class of third-order nonlinear delay difference equations in this work. There are specified sufficient requirements for the solution to be oscillatory. An example is provided to highlight the main findings..
null S. Kaleeswari, null M. Buvansankari
openaire +1 more source
Neimark-Sacker Bifurcation of a Third Order Difference Equation
Fundamental Journal of Mathematics and Applications, 2019 In this paper, we investigate the bifurcation of a third order rational difference equation. Firstly, we show that the equation undergoes a Neimark-Sacker bifurcation when the parameter reaches a critical value. Then, we consider the direction of the Neimark-Sacker bifurcation. Finally, we give some numerical simulations of our results.
Marwan ALOQEİLİ, Asmaa SHAREEF
openaire +3 more sources
Existence of Bounded Positive Solutions for Partial Difference Equations with Delays
Abstract and Applied Analysis, 2012 This paper deals with solvability of the third-order nonlinear partial difference equation with delays Δn(am,nΔm2(xm,n+bm,nxm-τ0,n-σ0))+f(m,n,xm-τ1,m,n-σ1,n,…,xm-τk,m,n-σk,n)=cm,n, m≥m0, n≥n0.
Zeqing Liu +3 more
doaj +1 more source
Advances in Difference Equations, 2019 In this paper, a high-order numerical scheme is proposed for solving the two-dimensional fractional reaction–subdiffusion equation. The method is based on adopting a third-order weighted and shifted Grünwald difference (WSGD) operator to approximate the ...
Xiaoyong Xu, Da Xu
doaj +1 more source
Global behavior of a third order rational difference equation [PDF]
Mathematica Bohemica, 2014 A third-order nonlinear difference equation of the form \[ x_{n+1}=\frac {ax_nx_{n-1}}{-bx_n+cx_{n-2}},\quad n\in \mathbb N_0,\tag{1} \] is considered, where \(a, b, c\) are positive constants. The forbidden set \(F\) for equation (1) is meant as a set of initial values \((x_{-2}, x_{-1}, x_0)\in \mathbb R^3\) such that its subsequent iteration under ...
openaire +2 more sources
A highly accurate difference method for solving the Dirichlet problem of the Laplace equation on a rectangular parallelepiped with boundary values in C^(k,1) [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаA three-stage difference method for solving the Dirichlet problem of Laplace's equation on a rectangular parallelepiped is proposed and justified. In the first stage, approximate values of the sum of the pure fourth derivatives of the solution are ...
Dosiyev, Adiguzel A.
doaj +1 more source
On Some Solvable Systems of Some Rational Difference Equations of Third Order [PDF]
, 2023 K. S. Al-Basyouni, E. M. Elsayed
openalex +1 more source
Note on bounded solutions to nonhomogenous linear difference equations
Electronic Journal of Differential Equations, 2017 By using a solvability method along with the contraction mapping principle quite recently has been presented an interesting method for showing the existence of a unique bounded solution to a nonhomogenous linear second-order difference equation on the
Stevo Stevic +2 more
doaj
Dynamics of a system of rational third-order difference equation [PDF]
, 2012 Qianhong Zhang +2 more
openalex +1 more source