On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling
Gregory Derfel, Peter J. Grabner, Robert F. Tichy
TL;DR
This paper investigates the long-term behavior of solutions to the pantograph functional-differential equation and derives asymptotic information about the distribution of their zeros.
Contribution
It provides new insights into the asymptotic behavior of solutions and their zeros for the pantograph equation, a class of functional-differential equations with rescaling.
Findings
Asymptotic descriptions of solutions' behavior
Asymptotic distribution of zeros
New theoretical results on pantograph equations
Abstract
We study the asymptotic behaviour of the solutions of a functional- differential equation with rescaling, the so-called pantograph equation. From this we derive asymptotic information about the zeros of these solutions.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Stability and Controllability of Differential Equations · Differential Equations and Numerical Methods