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

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

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.

Bibliographic Details
Main Authors: Mohamed Jleli, Bessem Samet
Format: Article
Language:English
Published: Vilnius University Press 2014-04-01
Series:Nonlinear Analysis
Subjects:
random positive solution
Polish space
τ–ϕ-concave
complete measure space
stochastic integral equation
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13684
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spelling doaj-780d8674736e47a0bbdfd008e2e2211a2020-11-25T02:04:07ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-04-0119210.15388/NA.2014.2.7Positive solutions to a class of random operator equations and applications to stochastic integral equationsMohamed Jleli0Bessem Samet1King Saud University, Saudi ArabiaKing Saud University, Saudi Arabia 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. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13684random positive solutionPolish spaceτ–ϕ-concavecomplete measure spacestochastic integral equation
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Jleli
Bessem Samet
spellingShingle Mohamed Jleli
Bessem Samet
Positive solutions to a class of random operator equations and applications to stochastic integral equations
Nonlinear Analysis
random positive solution
Polish space
τ–ϕ-concave
complete measure space
stochastic integral equation
author_facet Mohamed Jleli
Bessem Samet
author_sort Mohamed Jleli
title Positive solutions to a class of random operator equations and applications to stochastic integral equations
title_short Positive solutions to a class of random operator equations and applications to stochastic integral equations
title_full Positive solutions to a class of random operator equations and applications to stochastic integral equations
title_fullStr Positive solutions to a class of random operator equations and applications to stochastic integral equations
title_full_unstemmed Positive solutions to a class of random operator equations and applications to stochastic integral equations
title_sort positive solutions to a class of random operator equations and applications to stochastic integral equations
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2014-04-01
description 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.
topic random positive solution
Polish space
τ–ϕ-concave
complete measure space
stochastic integral equation
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13684
work_keys_str_mv AT mohamedjleli positivesolutionstoaclassofrandomoperatorequationsandapplicationstostochasticintegralequations
AT bessemsamet positivesolutionstoaclassofrandomoperatorequationsandapplicationstostochasticintegralequations
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