Results 11 to 20 of about 5,169,991 (290)

The Beverton–Holt q-difference equation [PDF]

open access: yesJournal of Biological Dynamics, 2013
The Beverton–Holt model is a classical population model which has been considered in the literature for the discrete-time case. Its continuous-time analogue is the well-known logistic model.
Martin Bohner, Rotchana Chieochan
doaj   +2 more sources

On a Max-Type Difference Equation [PDF]

open access: yesAdvances in Difference Equations, 2010
We prove that every positive solution of the max-type difference equation , converges to where are positive integers, , and .
Gelisken Ali   +2 more
doaj   +3 more sources

On a Higher-Order Difference Equation

open access: yesDiscrete Dynamics in Nature and Society, 2010
We describe in an elegant and short way the behaviour of positive solutions of the higher-order difference equation xn=cxn−pxn−p−q/xn−q, n∈ℕ0, where p,q∈ℕ and c>0, extending some recent results in the literature.
Bratislav D. Iričanin, Wanping Liu
doaj   +3 more sources

Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation

open access: yesAdvances in Difference Equations, 2017
We present some interesting facts connected with the following second-order difference equation: x n + 2 − q n x n = f n , n ∈ N 0 , $$x_{n+2}-q_{n}x_{n}=f_{n},\quad n\in \mathbb{N}_{0}, $$ where ( q n ) n ∈ N 0 $(q_{n})_{n\in\mathbb{N}_{0}}$ and ( f n )
Stevo Stević
doaj   +3 more sources

Teaching the Logistic Growth Difference Equation Using Spreadsheets [PDF]

open access: yesSpreadsheets in Education, 2010
The logistic growth difference equation is often used in biology to model population growth. The terms that satisfy the difference equation have many remarkable mathematical properties such as exhibiting chaotic behavior. Using spreadsheet modeling tools,
Fred J Rispoli   +2 more
doaj   +1 more source

Growth of Solutions of Homogeneous Differential–Difference Equations

open access: yesComputer Sciences & Mathematics Forum, 2023
In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane ∑j=0nAjzfjz+cj=0, n∈N+, where cj, j=0,...,n are complex numbers, and Aj(z), j=0, …, n are entire functions of ...
Hakima Lassal, Benharrat Belaϊdi
doaj   +1 more source

A cubic spline technique for the one dimensional heat conduction equation [PDF]

open access: yes, 1971
A new method is developed for the numerical solution of the heat conduction equation in one space dimension by replacing the space derivative with a cubic spline approximation and the time derivative with a finite- difference approximation. The method is
Whiteman, J R, Papamichael, N
core   +4 more sources

On Some Solvable Difference Equations and Systems of Difference Equations [PDF]

open access: yesAbstract and Applied Analysis, 2012
Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.
Stević, Stevo   +3 more
openaire   +3 more sources

Implicit methods for the simple wave equation [PDF]

open access: yes, 1984
A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
core   +4 more sources

The Chebyshev Difference Equation

open access: yesMathematics, 2020
We define and investigate a new class of difference equations related to the classical Chebyshev differential equations of the first and second kind.
Tom Cuchta   +2 more
doaj   +1 more source

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