Oscillation of solutions of non-linear neutral delay differential equations of higher order for $p(t)=\pm 1$
Rath, Radhanath N. ; Padhy, Laxmi N. ; Misra, Niyati
Archivum Mathematicum, Tome 040 (2004), p. 359-366 / Harvested from Czech Digital Mathematics Library
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In this paper, the oscillation criteria for solutions of the neutral delay differential equation (NDDE) \[ \left( {y(t)-p(t)\, y({t-\tau } )} \right)^{(n )}+ \alpha \,Q(t)\,\,G\left( {y({t-\sigma })} \right)= f(t) \] has been studied where $p(t) = 1$ or $p(t) \le 0$, $\alpha =\pm 1$, $Q\in C \left([0, \infty ), R^{+}\right)$, $f \in C([0, \infty ), R)$, $G \in C(R, R)$. This work improves and generalizes some recent results and answer some questions that are raised in [1].

Publié le : 2004-01-01
Classification:  34K11,  34K40 
@article{107920,
     author = {Radhanath N. Rath and Laxmi N. Padhy and Niyati Misra},
     title = {Oscillation of solutions of non-linear neutral delay differential equations of higher order for $p(t)=\pm 1$},
     journal = {Archivum Mathematicum},
     volume = {040},
     year = {2004},
     pages = {359-366},
     zbl = {1116.34332},
     mrnumber = {2129958},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107920}
}

Rath, Radhanath N.; Padhy, Laxmi N.; Misra, Niyati. Oscillation of solutions of non-linear neutral delay differential equations of higher order for $p(t)=\pm 1$. Archivum Mathematicum, Tome 040 (2004) pp. 359-366. http://gdmltest.u-ga.fr/item/107920/

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