In this paper, sufficient conditions have been obtained under which every solution of$[y(t)?± y(t-e???)]'?±mathcal{Q}(t)G(y(t-e???)) = f(t),quad ta‰¥ 0$,oscillates or tends to zero or to ?± a?? as e?‘? a?’ a??. Usually these conditions are stronger thanegin{equation*}intlimits_0^a??mathcal{Q}(t)dt=a??. ag{*}end{equation*}An example is given to show that the condition $(*)$ is not enough to arrive at the above conclusion. Existence of a positive (or negative) solution of$[y(t)-y(t-e???)]'+mathcal{Q}(t)G(y(t-e???))=f(t)$is considered.
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机译:在本文中,已经获得了足够的条件,其中每个解$ [y(t)?±y(te ???)]'?±mathcal {Q}(t)G(y(te ???)) = f(t),平方ta‰¥ 0 $,振荡或趋向于零或趋于?±a?如e?’一个?’一个??。通常这些条件比inegin {equation *} intlimits_0 ^ a ??数学{Q}(t)dt = a ??更强。 ag {*} end {equation *}给出一个例子,表明条件$(*)$不足以得出上述结论。 $ [y(t)-y(te ???)]'+ mathcal {Q}(t)G(y(te ???))= f(t)$的正(或负)解的存在被认为。
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