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On the distance between adjacent zeros of solutions of first order differential equations with distributed delays
Journal article   Open access  Peer reviewed

On the distance between adjacent zeros of solutions of first order differential equations with distributed delays

Hassan A. El-Morshedy and Emad R. Attia
Electronic journal of qualitative theory of differential equations, Vol.2016(8), pp.1-14
01/01/2016
DOI: https://doi.org/10.14232/ejqtde.2016.1.8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We estimate the distance between adjacent zeros of all solutions of the first order differential equation x '(t) + integral(t)(h(t)) x(s)d(s)R(t, s) + 0. This form makes it possible to study equations with both discrete and continuous distributions of the delays. The obtained results are new and improve several known estimations. Some illustrative examples are given to show the advantages of our results over the known ones.
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https://doi.org/10.14232/ejqtde.2016.1.8View
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