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- W3099224815 abstract "An interrelationship is found between the accumulation points of zeros of non-trivial solutions of $$f''+Af=0$$ and the boundary behavior of the analytic coefficient A in the unit disc $$mathbb {D}$$ of the complex plane $$mathbb {C}$$ . It is also shown that the geometric distribution of zeros of any non-trivial solution of $$f''+Af=0$$ is severely restricted if * $$begin{aligned} |A(z)| left( 1-|z|^2right) ^2 le 1 + C left( 1-|z|right) , quad zin mathbb {D}, end{aligned}$$ for any constant $$0<C<infty $$ . These considerations are related to the open problem of whether (*) implies finite oscillation for all non-trivial solutions." @default.
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- W3099224815 date "2016-03-14" @default.
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- W3099224815 title "On Oscillation of Solutions of Linear Differential Equations" @default.
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- W3099224815 doi "https://doi.org/10.1007/s12220-016-9701-3" @default.
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