Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation

This paper studies the asymptotic growth and decay properties of solutions of the stochastic pantograph equation with multiplicative noise. We give sufficient conditions on the parameters for solutions to grow at a polynomial rate in $p$-th mean and in the almost sure sense. Under stronger condition...

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Bibliographic Details
Main Authors: John Appleby, Evelyn Buckwar
Format: Article
Language:English
Published: University of Szeged 2016-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4269