On the Existence of Solutions of Some Stochastic Functional Integral Equations

Monika Pasławska-Południak

Commentationes Mathematicae (2010)

  • Volume: 50, Issue: 1
  • ISSN: 2080-1211

Abstract

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The integral equation of Urysohn type is considered, for the deterministic and stochastic cases. We show, using the fixed point theorem of Darbo type that under some assumptions the equations have solutions belonging to the space of continuous functions. The main tool used in our paper is the technique associated with measures of noncompactness.

How to cite

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Monika Pasławska-Południak. "On the Existence of Solutions of Some Stochastic Functional Integral Equations." Commentationes Mathematicae 50.1 (2010): null. <http://eudml.org/doc/291843>.

@article{MonikaPasławska2010,
abstract = {The integral equation of Urysohn type is considered, for the deterministic and stochastic cases. We show, using the fixed point theorem of Darbo type that under some assumptions the equations have solutions belonging to the space of continuous functions. The main tool used in our paper is the technique associated with measures of noncompactness.},
author = {Monika Pasławska-Południak},
journal = {Commentationes Mathematicae},
keywords = {measures of noncompactness; functional integral equations; stochastic functional integral equations},
language = {eng},
number = {1},
pages = {null},
title = {On the Existence of Solutions of Some Stochastic Functional Integral Equations},
url = {http://eudml.org/doc/291843},
volume = {50},
year = {2010},
}

TY - JOUR
AU - Monika Pasławska-Południak
TI - On the Existence of Solutions of Some Stochastic Functional Integral Equations
JO - Commentationes Mathematicae
PY - 2010
VL - 50
IS - 1
SP - null
AB - The integral equation of Urysohn type is considered, for the deterministic and stochastic cases. We show, using the fixed point theorem of Darbo type that under some assumptions the equations have solutions belonging to the space of continuous functions. The main tool used in our paper is the technique associated with measures of noncompactness.
LA - eng
KW - measures of noncompactness; functional integral equations; stochastic functional integral equations
UR - http://eudml.org/doc/291843
ER -

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