Communications - Scientific Letters of the University of Zilina 2013, 15(2):109-111 | DOI: 10.26552/com.C.2013.2.109-111
Oscillatory Properties of the Solutions of First Order Linear Neutral Differential Equations with "Maxima"
- 1 Department of Mathematics, Faculty of Humanities, University of Zilina, Slovakia
In this paper we consider a neutral differential equation with "maxima" of the form [x(t) + p(t)x(σ(t))] + q(t) max x(s) = 0
We obtained sufficient conditions for oscillation of all the solutions when t→∞.
Keywords: neutral equation, delayed argument, oscillation
Published: June 30, 2013 Show citation
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Malacka, Z. (2013). Oscillatory Properties of the Solutions of First Order Linear Neutral Differential Equations with "Maxima". Communications - Scientific Letters of the University of Zilina, 15(2), 109-111. doi: 10.26552/com.C.2013.2.109-111
References
- RAYBOV, YU. A., MAGOMEDOV, A. R.: Differential Equations with Maxima [in Russian], Preprint No. 75, Bacou, Institut of Physics Acad. Sci. Azerb, SSR, 2002.
- BAINOV, D. D., ZAHARIEV, A. I.: Oscillating and Asymptotic Properties of a Class of Functional Differential Equations with Maxima, Czechoslovak Math. J., 34, 1984, 247-251.
Go to original source... - GYORI, I., LADAS, G.: Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991. Go to original source...
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