Positive solutions to a class of random operator equations and applications to stochastic integral equations

Mohamed Jleli; Bessem Samet

doi:10.15388/NA.2014.2.7

Articles

Mohamed Jleli

King Saud University, Saudi Arabia

Bessem Samet

King Saud University, Saudi Arabia

Published 2014-04-10

https://doi.org/10.15388/NA.2014.2.7

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Keywords

random positive solution
Polish space
τ–ϕ-concave
complete measure space
stochastic integral equation

How to Cite

Jleli M. and Samet B. (2014) “Positive solutions to a class of random operator equations and applications to stochastic integral equations”, Nonlinear Analysis: Modelling and Control, 19(2), pp. 241-255. doi: 10.15388/NA.2014.2.7.

Abstract

We study the existence of random positive solutions to a random operator equation on ordered Polish spaces. We apply the results obtained in this paper to study the existence of random positive solutions to some classes of stochastic integral equations.

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