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Oscillation of solutions for third order functional dynamic equations.

Elabbasy, Elmetwally M.; Hassan, Taher S. — 2010

Electronic Journal of Differential Equations (EJDE) [electronic only]

Oscillation criteria for first-order nonlinear neutral delay differential equations.

Elabbasy, Elmetwally M.; Hassan, Taher S.; Saker, Samir H. — 2005

Electronic Journal of Differential Equations (EJDE) [electronic only]

Oscillation of second-order nonlinear differential equations with a damping term.

Elabbasy, Elmetwally M.; Hassan, Taher S.; Saker, Samir.H. — 2005

Electronic Journal of Differential Equations (EJDE) [electronic only]

Oscillation and stability of nonlinear discrete models exhibiting the Allee effect

Elmetwally M. Elabbasy; Samir H. Saker; Hamdy El-Metwally — 2007

Mathematica Slovaca

On the difference equation $x_{n + 1} = \frac{a_{0} x_{n} + a_{1} x_{n - 1} + \dots + a_{k} x_{n - k}}{b_{0} x_{n} + b_{1} x_{n - 1} + \dots + b_{k} x_{n - k}}$

Elmetwally M. Elabbasy; Hamdy El-Metwally; E. M. Elsayed — 2008

Mathematica Bohemica

In this paper we investigate the global convergence result, boundedness and periodicity of solutions of the recursive sequence $x_{n + 1} = \frac{a_{0} x_{n} + a_{1} x_{n - 1} + \dots + a_{k} x_{n - k}}{b_{0} x_{n} + b_{1} x_{n - 1} + \dots + b_{k} x_{n - k}}, n = 0, 1, \dots$ where the parameters $a_{i}$ and $b_{i}$ for $i = 0, 1, \dots, k$ are positive real numbers and the initial conditions $x_{- k}, x_{- k + 1}, \dots, x_{0}$ are arbitrary positive numbers.

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Currently displaying 1 – 5 of 5

Oscillation of solutions for third order functional dynamic equations.

Oscillation criteria for first-order nonlinear neutral delay differential equations.

Oscillation of second-order nonlinear differential equations with a damping term.

Oscillation and stability of nonlinear discrete models exhibiting the Allee effect

On the difference equation x n + 1 = a 0 x n + a 1 x n - 1 + ⋯ + a k x n - k b 0 x n + b 1 x n - 1 + ⋯ + b k x n - k

On the difference equation $x_{n + 1} = \frac{a_{0} x_{n} + a_{1} x_{n - 1} + \dots + a_{k} x_{n - k}}{b_{0} x_{n} + b_{1} x_{n - 1} + \dots + b_{k} x_{n - k}}$