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Start Over Subject difference equations

1. Existence of entire solutions of nonlinear difference equations

Creator:
Liu, Kai, Yang, Lianzhong, and Liu, Xinling
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
entire functions, difference equations, and finite order
Language:
English
Description:
In this paper we obtain that there are no transcendental entire solutions with finite order of some nonlinear difference equations of different forms.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term

Creator:
Zhang, B. G. and Sun, Y. J.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
difference equations, nonlinear, forced term, and nonoscillation
Language:
English
Description:
In this paper, necessary and sufficient conditions for the existence of nonoscillatory solutions of the forced nonlinear difference equation ∆(xn = pnxτ(n)) + f(n, xσ(n)) = qn are obtained. Examples are included to illustrate the results.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Instanton-anti-instanton solutions of discrete Yang-Mills equations

Creator:
Sushch, Volodymyr
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Yang-Mills equations, self-dual equations, anti-self-dual equations, instanton, anti-instanton, and difference equations
Language:
English
Description:
We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of R 4 . Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both the techniques of a double complex and the quaternionic approach.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. On some discrete inequalities in two independent variables

Creator:
Kim, Young-Ho
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
discrete inequality, two independent variables, difference equations, and subadditive and submultiplicative functions
Language:
English
Description:
In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

5. On the rational recursive sequence xn+1 = ( A + ∑k i=0 αixn−i )/∑k i=0 βixn−i

Creator:
Zayed, E. M. E. and El-Moneam, M. A.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
difference equations, boundedness character, period two solution, and convergence; global stability
Language:
English
Description:
The main objective of this paper is to study the boundedness character, the periodic character, the convergence and the global stability of positive solutions of the difference equation xn+1 = ( A + ∑ k i=0 αixn−i) ⁄ ∑ k i=0 βixn−i , n = 0, 1, 2, . . . where the coefficients A, αi , βi and the initial conditions x−k, x−k+1, . . . , x−1, x0 are positive real numbers, while k is a positive integer number.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public