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Oscillation criteria for nonlinear functional differential equations of neutral type

Fatima N Ahmed, Rokiah Rozita Ahmad, Ummul Khair Salma Din, Mohd Salmi Md Noorani
2015 Journal of Inequalities and Applications  
In this paper, some new sufficient conditions for the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the literature. Our main results are obtained by employing the Riccati transformation aiming to transfer the neutral equation to a nonneutral type and then using some inequality techniques. Some illustrative examples are also included. MSC: 54H25; 54C60; 54E50
doi:10.1186/s13660-015-0608-5 fatcat:voykhf43lrgkdmvqqlhyuyjsbi