On the Zeros of Functions in the Bers Space
A. Fletcher, V. Marković (2004)
Publications de l'Institut Mathématique
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Displaying similar documents to “Zeros of derivatives of solutions to singular conjugate BVPs”
On the Zeros of Functions in the Bers Space
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The lower bounds of the spacings b-a or a’-a of two consecutive zeros or three consecutive zeros of solutions of third order differential equations of the form y”’ + q(t)y’ + p(t)y = 0 (*) are derived under very general assumptions on p and q. These results are then used to show that or as n → ∞ under suitable assumptions on p and q, where ⟨tₙ⟩ is a sequence of zeros of an oscillatory solution of (*). The Opial-type inequalities are used to derive lower bounds of the spacings d-a...
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