Existence of slow oscillations in functional equations. (English) Zbl 0704.34077
For the equation \(L_ ny(t)+H(t,y(t))=f(t)\) sufficient conditions are found to ensure that all proper solutions are slowly oscillating. The operator \(L_ n\) has the form
\[
L_ n=\frac{1}{p_ n(t)}\frac{d}{dt}\frac{1}{p_{n-1}(t)}...\frac{d}{dt}\frac{1}{p_ 1(t)}\frac{d}{dt}\frac{\cdot}{p_ 0(t)}.
\]
Reviewer: B.Singh
MSC:
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
| 34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |
Keywords:
conjugate canonical formReferences:
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