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Asymptotic properties of differential equations with advanced argument

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Abstract

The paper discusses the asymptotic properties of solutions of the scalar functional differential equation

$$y\prime \left( x \right) = ay\left( {{\tau }\left( x \right)} \right) + by\left( x \right), x \in \left[ {x_{0} ,\infty } \right)$$

of the advanced type. We show that, given a specific asymptotic behaviour, there is a (unique) solution y(x) which behaves in this way.

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Brno, Technická 2, 616 69, Brno, Czech Republic

    Jan Čermák

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  1. Jan Čermák
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Čermák, J. Asymptotic properties of differential equations with advanced argument. Czechoslovak Mathematical Journal 50, 825–837 (2000). https://doi.org/10.1023/A:1022468713283

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