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On the Asymptotic Behaviour of the Zeros of the Solutions of a Functional-differential Equation with Rescaling

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Book cover Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

Part of the book series: Operator Theory: Advances and Applications ((LOLS,volume 263))

Abstract

We study the asymptotic behaviour of the solutions of a functionaldifferential equation with rescaling, the so-called pantograph equation. From this we derive asymptotic information about the zeros of these solutions.

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Correspondence to Gregory Derfel .

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Derfel, G., Grabner, P.J., Tichy, R.F. (2018). On the Asymptotic Behaviour of the Zeros of the Solutions of a Functional-differential Equation with Rescaling. In: Alpay, D., Kirstein, B. (eds) Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations. Operator Theory: Advances and Applications(), vol 263. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-68849-7_10

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