Oscillation of first order neutral differential equations with positive and negative coefficients
- Autores: Jurang Yan, Wantong Li
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 50, Fasc. 2, 1999, págs. 199-210
- Idioma: inglés
- Enlaces
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Resumen
We obtain some new sharp sufficient conditions for the oscillation of all solutions of the first order neutral differential equation with positive and negative coefficients of the form $$\frac{d}{dt}\bigl(x(t) - R(t)x(t - r)\bigr)+ P(t)x(t - \tau ) - Q(t)x(t -\delta) = 0$$ where $P,Q,R\in C([t_0,\infty),R^^), r\in (0,\infty)$ and $\tau,\delta\in R^+$. In particular, the conditions are necessary and sufficient when the coefficients are constants. As corollaries, many known results are extended and improved in the literature.
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