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39-XX Difference and functional equations

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Displaying 1701 – 1720 of 2648

On the Pexider difference

K. Baron, P. Kannappan (1990)

Fundamenta Mathematicae

On the Pexider equation.

A. Krapez, M.A. Taylor (1985)

Aequationes mathematicae

On the pseudo-processes and pseudo-dynamical systems

Zenon Moszner, Maria Żurek-Etgens (1987)

Archivum Mathematicum

On the quasiarithmetic mean in a mean value property and the associated functional equation.

Marek Kuczma (1991)

Aequationes mathematicae

On the radius of convergence of series solutions of a functional equation

Marek Kuczma, W. Smajdor (1971)

Annales Polonici Mathematici

On the rational recursive sequence $x_{n + 1} = (A + \sum_{i = 0}^{k} α_{i} x_{n - i}) / (B + \sum_{i = 0}^{k} β_{i} x_{n - i})$ .

Zayed, E.M.E., El-Moneam, M.A. (2007)

International Journal of Mathematics and Mathematical Sciences

On the rational recursive sequence $x_{n + 1} = (A + \sum_{i = 0}^{k} α_{i} x_{n - i}) / \sum_{i = 0}^{k} β_{i} x_{n - i}$

E. M. E. Zayed, M. A. El-Moneam (2008)

Mathematica Bohemica

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 $x_{n + 1} = (A + \sum_{i = 0}^{k} α_{i} x_{n - i}) / \sum_{i = 0}^{k} β_{i} x_{n - i}, n = 0, 1, 2, \dots$ where the coefficients $A$ , $α_{i}$ , $β_{i}$ and the initial conditions $x_{- k}, x_{- k + 1}, \dots, x_{- 1}, x_{0}$ are positive real numbers, while $k$ is a positive integer number.

On the rational recursive sequence $x_{n + 1} = \frac{α_{0} x_{n} + α_{1} x_{n - l} + α_{2} x_{n - k}}{β_{0} x_{n} + β_{1} x_{n - l} + β_{2} x_{n - k}}$

E. M. E. Zayed, M. A. El-Moneam (2010)

Mathematica Bohemica

The main objective of this paper is to study the boundedness character, the periodicity character, the convergence and the global stability of positive solutions of the difference equation $x_{n + 1} = \frac{α_{0} x_{n} + α_{1} x_{n - l} + α_{2} x_{n - k}}{β_{0} x_{n} + β_{1} x_{n - l} + β_{2} x_{n - k}}, n = 0, 1, 2, \dots$ where the coefficients $α_{i}, β_{i} \in (0, \infty)$ for $i = 0, 1, 2,$ and $l$ , $k$ are positive integers. The initial conditions $x_{- k}, \dots, x_{- l}, \dots, x_{- 1}, x_{0}$ are arbitrary positive real numbers such that $l < k$ . Some numerical experiments are presented.

On the rational recursive sequence $x_{n + 1} = (α - β x_{n}) / (γ - δ x_{n} - x_{n - k})$ .

Zayed, E.M.E., Shamardan, A.B., Nofal, T.A. (2008)

International Journal of Mathematics and Mathematical Sciences

On the recursive sequence.

Camouzis, E., Devault, R., Papaschinopoulos, G. (2005)

Advances in Difference Equations [electronic only]

On the recursive sequence $x_{n + 1} = - 1 / x_{n} + A / x_{n - 1}$ .

Stević, Stevo (2001)

International Journal of Mathematics and Mathematical Sciences

On the recursive sequence $x_{n + 1} = A + (x_{n - 1}^{p} / x_{n}^{q})$ .

Schinas, C.J., Papaschinopoulos, G., Stefanidou, G. (2009)

Advances in Difference Equations [electronic only]

On the recursive sequence $x_{n + 1} = A + x_{n}^{p} / x_{n - 1}^{p}$ .

Stević, Stevo (2007)

Discrete Dynamics in Nature and Society

On the recursive sequence $x_{n + 1} = A + x_{n}^{p} / x_{n - 1}^{r}$ .

Stević, Stevo (2007)

Discrete Dynamics in Nature and Society

On the recursive sequence $x_{n} = 1 + \sum_{i = 1}^{k} α_{i} x_{n - p_{i}} / \sum_{j = 1}^{m} β_{j} x_{n - q_{j}}$ .

Stević, Stevo (2007)

Discrete Dynamics in Nature and Society

On the recursive sequence $x_{n + 1} = max {x_{n}, A} / x_{n}^{2} x_{n - 1}$ .

Yalcinkaya, Ibrahim, Cinar, Cengiz, Gelisken, Ali (2010)

Discrete Dynamics in Nature and Society

On the reduction theorems

G. Łubczonok (1972)

Annales Polonici Mathematici

On the regular solutions of a linear functional equation

Marek Cezary Zdun (1974)

Annales Polonici Mathematici

On the second part of Hilbert's fifth problem.

Mario Bonk (1992)

Mathematische Zeitschrift

On the separation of difference equations.

Abdullah, H.Kh., Al-Dosary, K.I. (2001)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Currently displaying 1701 – 1720 of 2648

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