2007 / September Volume 2 No.3
Existence of nonoscillatory solution of second order neutral differential equation
Published Date |
2007 / September
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Title | Existence of nonoscillatory solution of second order neutral differential equation |
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Pagination | 785-795 |
Abstract | Consider the neutral delay differential equation with positive and negative coefficients:
$(r(t)(x(t) + px(t - \gamma)')' + Q_1(t)x(t-\sigma_1) - Q_2(t)x(t - \sigma_{2}) = 0,$ where $p \in R$ and $\gamma \in (0,\infty), \sigma_1, \sigma_2 \in [0,\infty)$ and $Q_1(t), Q_2(t), r(t) \in C([t_0, \infty),R^+)$ . Some sufficient conditions for the existence of a nonoscillatory solution of the above equation in terms of $\int^\infty R(s)Q_ids < \infty, i = 1, 2$ are obtained. |
AMS Subject Classification |
39A10, 34K11, 34K40
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Received |
2007-02-12
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