Hussain A Mohamad - Academia.edu (original) (raw)
I'm interested in mathematics and applied mathematics, my specialest are delay differential equations. I have published some researchs for oscillation and asymptotic behavior of solutions of delay and Neutral differential equations
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Papers by Hussain A Mohamad
Applied Mathematics and Computation, 2003
The oscillation criteria are investigated for all solutions of second order nonlinear neutral del... more The oscillation criteria are investigated for all solutions of second order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature see ([14] theorem 3.2.1 and theorem 3.2.2 pp.385-388). Some examples are given to illustrate our main results.
Mathematical Theory and Modeling, 2014
In this paper oscillation criterion is investigated for all solutions of the third-order non line... more In this paper oscillation criterion is investigated for all solutions of the third-order non linear neutral differential equations with positive and negative coefficients: [ () + () ((()))]′′′ + () ((())) − () ((())) = 0, ≥ 0 (1.1) Some sufficient conditions are established so that every solution of eq.(1.1) oscillate. We improved theorem 2.4 and theorem 2.10 in [5]. Examples are given to illustrated our main results.
In this paper, necessary and sufficient conditions are obtained to guarantee the oscillation of a... more In this paper, necessary and sufficient conditions are obtained to guarantee the oscillation of all solutions of the first-order neutral difference equation with positive and negative coefficients ∆(y n − p n y n−m) + q n G(y n−k) − r n G(y n−l) = f n. Some examples are given to illustrate the obtained results.
In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear n... more In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear neutral differential equations have been investigated, where some necessary and sufficient conditions are obtained to guarantee the convergence of these solutions to zero or tends to infinity as t → ∞. We introduced Lemma 2.1 and Lemma 2.2 which are a generalization of Lemma 1.5.
Journal of Mathematics and Computer Science
In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear n... more In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear neutral differential equations have been investigated, where some necessary and sufficient conditions are obtained to guarantee the convergence of these solutions to zero or tends to infinity as t → ∞. We introduced Lemma 2.1 and Lemma 2.2 which are a generalization of Lemma 1.5.
Applied Mathematics and Computation, 2003
The oscillation criteria are investigated for all solutions of second order nonlinear neutral del... more The oscillation criteria are investigated for all solutions of second order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature see ([14] theorem 3.2.1 and theorem 3.2.2 pp.385-388). Some examples are given to illustrate our main results.
Mathematical Theory and Modeling, 2014
In this paper oscillation criterion is investigated for all solutions of the third-order non line... more In this paper oscillation criterion is investigated for all solutions of the third-order non linear neutral differential equations with positive and negative coefficients: [ () + () ((()))]′′′ + () ((())) − () ((())) = 0, ≥ 0 (1.1) Some sufficient conditions are established so that every solution of eq.(1.1) oscillate. We improved theorem 2.4 and theorem 2.10 in [5]. Examples are given to illustrated our main results.
In this paper, necessary and sufficient conditions are obtained to guarantee the oscillation of a... more In this paper, necessary and sufficient conditions are obtained to guarantee the oscillation of all solutions of the first-order neutral difference equation with positive and negative coefficients ∆(y n − p n y n−m) + q n G(y n−k) − r n G(y n−l) = f n. Some examples are given to illustrate the obtained results.
In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear n... more In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear neutral differential equations have been investigated, where some necessary and sufficient conditions are obtained to guarantee the convergence of these solutions to zero or tends to infinity as t → ∞. We introduced Lemma 2.1 and Lemma 2.2 which are a generalization of Lemma 1.5.
Journal of Mathematics and Computer Science
In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear n... more In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear neutral differential equations have been investigated, where some necessary and sufficient conditions are obtained to guarantee the convergence of these solutions to zero or tends to infinity as t → ∞. We introduced Lemma 2.1 and Lemma 2.2 which are a generalization of Lemma 1.5.