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On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type
El-Owaidy, Hassan Mostafa,Ragab, Abdelwahab Abbas,Eldeeb, Ahmed Abdel-Moneim,Abuelela, Waleed Mostafa Kamal Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.4
In this paper, we establish some new nonlinear integral inequalities of Gronwall-Bellman type. These inequalities generalize some famous inequalities which can be used in applications as handy tools to study the qualitative as well as quantitative properties of solutions of some nonlinear ordinary differential and integral equations. More accurately we extend certain results which have been proved in A. Abdeldaim and M. Yakout [1] and H. El-Owaidy, A. A. Ragab, A. Abdeldaim [7] too.
ON EXISTENCE OF SOLUTIONS OF NON-LINEAR AUTONOMOUS THIRD ORDER DIFFERENTIAL EQUATION
El-Owaidy, H.,Zagrout, A.A. Department of Mathematics 1981 Kyungpook mathematical journal Vol.21 No.1
In this paper a general third order differential equation encountered in the flow of fluids in general and hopefully elsewhere. Sufficient conditions for existence & uniqueness of its solutions are given.
El-Owaidy, H.M.,Ahmed, A.M.,Elsady, Z. 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.16 No.1
Our aim in this paper is to investigate the global attractivity of the recursive sequence $x_{n+1}\;=\;\frac{{\alpha}\;-\;{\beta}x_{n-\kappa}}{{\gamma}+x_n}$, where ${\alpha},\;{\beta},\;{\gamma}\;>\;0\;and\;{kappa}\;=\;1,\;2,\;{\ldots}$ We show that the positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.
ON ASYMPTOTIC BEHAVIOUR OF THE DIFFERENCE EQUATION $X_{N+l}$ = $\alpha$ =+$\frac{X_{n-1^P}}{X_n^P}$
El-Owaidy, H.M.,Ahmed, A.M.,Mousa, M.S. 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.12 No.1
In this Paper, we investigate local stability, oscillation and bounde-ness character of positive solutions of the difference equation $X_{N+l}$ = $\alpha$ + ( $X_{N-1}$$^{P/)}$( $X_{N}$$^{P}$), n = 0, 1, … under specified conditions.s.tions.s.