On the oscillation and asymptotic behavior of the solutions of a certain system of differential-functional equations of neutral type |
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| Authors: | A F Ivanov P Marusiak |
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| Institution: | 1. Institute of Mathematics, Academy of Sciences of Ukraine, Kiev
2. Institute for Transportation and Communication Engineering, Zilina, Czechoslovakia
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| Abstract: | Conditions for the oscillation of all solutions and for the existence of nonoscillatory solutions with polynomial growth at infinity are given for the system of differential-functional equations of neutral type
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![$$\begin{gathered} \frac{{d^n }}{{dt^n }}x(t) + \lambda _1 x(t - \tau _1 )] = p(t)f(y(\theta _1 (f)),\frac{{d^n }}{{dt^n }}y(t) + \lambda _2 y(t - \tau _2 )]q = (t)g(x(\theta _2 (t)), \hfill \\ 0 \leqslant |\lambda _1 |,|\lambda _2 |< 1. \hfill \\ \end{gathered} $$](/content/GQ9M7373632Q23T3/11253_2005_Article_BF01057113_TeX2GIFE1.gif)