Results 11 to 20 of about 5,169,991 (290)
The Beverton–Holt q-difference equation [PDF]
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
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On a Max-Type Difference Equation [PDF]
We prove that every positive solution of the max-type difference equation , converges to where are positive integers, , and .
Gelisken Ali +2 more
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On a Higher-Order Difference Equation
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
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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
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Teaching the Logistic Growth Difference Equation Using Spreadsheets [PDF]
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
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Growth of Solutions of Homogeneous Differential–Difference Equations
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
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A cubic spline technique for the one dimensional heat conduction equation [PDF]
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
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On Some Solvable Difference Equations and Systems of Difference Equations [PDF]
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
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Implicit methods for the simple wave equation [PDF]
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
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The Chebyshev Difference Equation
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
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