Results 21 to 30 of about 1,801,571 (229)

Third order non-linear difference equation with neutral term [PDF]

open access: yesE3S Web of Conferences, 2023
This paper aims to investigate the oscillatory characteristics of a neutral third order nonlinear difference equation. Utilizing the comparison principle, we get some new standards that guarantee that any solution to the neutral difference equation ...
Kaleeswari S., Rangasri S.
doaj   +1 more source

Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations [PDF]

open access: yesMathematica Bohemica, 2023
We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D_3y(n)+f(n)y^\beta(\sigma(n))=0, where $D_3 y(n)=\Delta(b(n)\Delta(a(n)(\Delta y(n))^\alpha))$ is studied.
Govindasamy Ayyappan   +3 more
doaj   +1 more source

Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments [PDF]

open access: yesMathematica Bohemica, 2021
In this paper, we present several sufficient conditions for the existence of nonoscillatory solutions to the following third order neutral type difference equation \Delta^3(x_n+a_n x_{n-l} +b_n x_{n+m})+p_n x_{n-k} - q_n x_{n+r}=0,\quad n\geq n_0 ...
Srinivasan Selvarangam   +3 more
doaj   +1 more source

ON THE STABILITY OF A THIRD ORDER DIFFERENCE EQUATION

open access: yesKırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi, 2020
In this paper, we are investigated the equilibrium points of difference equation x_(n+1)=x_(n-1) x_(n-2)+A, where A is a positive real number and the initial conditions are positive. We are also studied the local asymptotic stability of related difference equation. Particularly, we are examined the convergence of solutions of related equation. .
Erkan TAŞDEMİR   +1 more
openaire   +5 more sources

Dynamics of the third order Lyness' difference equation [PDF]

open access: yesJournal of Difference Equations and Applications, 2007
46 pages.
Cima, Anna   +2 more
openaire   +4 more sources

On Ulam stability of a second order linear difference equation

open access: yesAIMS Mathematics, 2023
In this paper we obtain some Ulam stability results for the second order and the third order linear difference equation with nonconstant coefficients in a Banach space.
Delia-Maria Kerekes   +2 more
doaj   +1 more source

On the Global Asymptotic Stability and 4-Period Oscillation of the Third-Order Difference Equation

open access: yesJournal of Applied Mathematics, 2023
The main objective of this paper is to study the global behavior and oscillation of the following third-order rational difference equation xn+1=αxnxn−1xn−2/βxn−12+γxn−22, where the initial conditions x−2,x−1,x0 are nonzero real numbers and α,β,γ are ...
M. E. Erdogan
doaj   +1 more source

Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

open access: yesAlexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla   +2 more
doaj   +1 more source

Explicit bounds for third-order difference equations [PDF]

open access: yesThe ANZIAM Journal, 2006
AbstractThis paper gives explicit, applicable bounds for solutions of a wide class of third-order difference equations with nonconstant coefficients. The techniques used are readily adaptable for higher-order equations. The results extend recent work of the authors for second-order equations.
Eva G. Goedhart   +2 more
openaire   +2 more sources

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