OSCILLATIONS AND ASYMPTOTIC STABILITY OF ENTIRE SOLUTIONS OF LINEAR DELAY DIFFERENTIAL EQUATIONS
2021 ◽
Vol 10
(4)
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pp. 2069-2076
Keyword(s):
Think about the linear delay differential equation, \begin{equation}\label{1} y'(q) + \sum_{n=1}^{m} P_{n}(q) y(q-\tau_{n})=0,\quad q\geq q_{0}, \end{equation} where $P_{n}\in C([q_{0},\infty),R)$ and $\tau_{n}\geq0$ for $n=1,2,\ldots,m$. By investigating the oscillatory solutions of the linear delay differential equations, we offer new adequate condition for the asymptotic stability of the solutions of \eqref{1}. We also produce comparison result and stability of \eqref{1}.
2019 ◽
Vol 39
(4)
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pp. 483-495
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1998 ◽
Vol 41
(2)
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pp. 207-213
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1990 ◽
Vol 33
(4)
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pp. 442-451
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2020 ◽
Vol 2020
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pp. 1-6
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Remarks concerning the asymptotic stability and stabilization of linear delay differential equations
1985 ◽
Vol 111
(2)
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pp. 571-584
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2011 ◽
Vol 48
(1)
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pp. 117-123
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