OSCILLATION BEHAVIOR OF SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
By Elmetwally M. Elabbasy, Taher S. Hassan, Osama Moaaz. 2012
55 citations recorded by the source corpus.
Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form \[r(t)\psi(x(t))|z'(t)|^{\alpha -1} z'(t)+ \int_a^b q(t,\xi)f(x(g(t,\phi)))d\sigma (\xi) =0,\quad t\gt t_0,\] where \(\alpha \gt 0\) and \(z(t)= x(t)+p(t)x(t-\tau)\). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/3202b3502fbaa324304c56c6f8bfca1894077fd5
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In Applied Mathematics
In Modeling and Simulation
In Numerical Analysis
Citations in the corpus
- Oscillation of second‐order neutral differential equations (2015, background): “(1.3), its particular cases and modifications have been studied by Dong [6], Hasanbulli and Rogovchenko [11], [12], Liu and Bai [18], and Xu and Meng [22], [23].”