Asymptotic behavior criteria for solutions of nonlinear third order neutral differential equations
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Authors
Hussain Ali Mohamad
- Department of mathematics, College of science for women, University of Baghdad, IRAQ.
Sattar Naser Ketab
- Department of Mathematics, College of education, University of Kufa, IRAQ.
Abstract
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 \(t\rightarrow\infty\). We introduced Lemma 2.1 and Lemma 2.2 which are a generalization of
Lemma 1.5.2 [I. Győri, G. Ladas, Oxford Mathematical Monographs, Oxford Science Publications, The Clarendon Press, Oxford
University Press, New York, (1991)]. Some examples are given to illustrate our main results.
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ISRP Style
Hussain Ali Mohamad, Sattar Naser Ketab, Asymptotic behavior criteria for solutions of nonlinear third order neutral differential equations, Journal of Mathematics and Computer Science, 17 (2017), no. 2, 325-331
AMA Style
Mohamad Hussain Ali, Ketab Sattar Naser, Asymptotic behavior criteria for solutions of nonlinear third order neutral differential equations. J Math Comput SCI-JM. (2017); 17(2):325-331
Chicago/Turabian Style
Mohamad, Hussain Ali, Ketab, Sattar Naser. "Asymptotic behavior criteria for solutions of nonlinear third order neutral differential equations." Journal of Mathematics and Computer Science, 17, no. 2 (2017): 325-331
Keywords
- Oscillation
- asymptotic behavior
- neutral differential equations.
MSC
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