Property of the order differential equation
Monika Kováčová (2000)
Archivum Mathematicum
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Monika Kováčová (2000)
Archivum Mathematicum
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Ethiraju Thandapani, Tongxing Li (2011)
Archivum Mathematicum
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The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation where , and . By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of () is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.
Miroslav Bartušek, Chrysi G. Kokologiannaki (2013)
Archivum Mathematicum
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We obtain monotonicity results concerning the oscillatory solutions of the differential equation . The obtained results generalize the results given by the first author in [1] (1976). We also give some results concerning a special case of the above differential equation.