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Start Over Creator Grace, Said R.

1. On the stability of solutions of certain systems of differential equations with piecewise constant argument

Creator:
Grace, Said R., Kulenović, Mustafa R. S., and El-Metwally, Hamdy
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
asymptotic behavior, delay, and stability
Language:
English
Description:
We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Oscillation of certain difference equations

Creator:
Grace, Said R.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
math, equations, and oscillation
Language:
English
Description:
Some new criteria for the oscillation of difference equations of the form \[ \Delta ^2 x_n - p_n \Delta x_{n-h} + q_n |x_{g_n}|^c \mathop {\mathrm sgn}x_{g_n} = 0 \] and \[ \Delta ^i x_n + p_n \Delta ^{i-1} x_{n-h} + q_n |x_{g_n}|^c \mathop {\mathrm sgn}x_{g_n} = 0, \ i = 2,3, \] are established.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Oscillations of certain functional differential equations

Creator:
Grace, Said R.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
math, differential equations, and oscillation
Language:
English
Description:
Sufficient conditions are presented for all bounded solutions of the linear system of delay differential equations \[ (-1)^{m+1}\frac{d^my_i(t)}{dt^m} + \sum ^n_{j=1} q_{ij} y_j(t-h_{jj})=0, \quad m \ge 1, \ i=1,2,\ldots ,n, \] to be oscillatory, where $q_{ij} \varepsilon (-\infty ,\infty )$, $h_{jj} \in (0,\infty )$, $i,j = 1,2,\ldots ,n$. Also, we study the oscillatory behavior of all bounded solutions of the linear system of neutral differential equations \[ (-1)^{m+1} \frac{d^m}{dt^m} (y_i(t)+cy_i(t-g)) + \sum ^n_{j=1} q_{ij} y_j (t-h)=0, \] where $c$, $g$ and $h$ are real constants and $i=1,2,\ldots ,n$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public