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On solutions of a stochastic integral equation of the volterra type with applications for chemotherapy

Published online by Cambridge University Press:  14 July 2016

D. Szynal  and
S. Wedrychowicz
D. Szynal*
Affiliation:
Maria Curie Sklodowska University, Lublin
S. Wedrychowicz*
Affiliation:
Maria Curie Sklodowska University, Lublin
*
∗Postal address: Instytut Mathematyki UMCS, ul. Nowotki 10, 20-031 Lublin, Poland.
∗Postal address: Instytut Mathematyki UMCS, ul. Nowotki 10, 20-031 Lublin, Poland.
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Abstract

This paper deals with the existence of solutions of a stochastic integral equation of the Volterra type and their asymptotic behaviour. Investigations of this paper use the concept of a measure of non-compactness in Banach space and fixed-point theorem of Darbo type. An application to a stochastic model for chemotherapy is also presented.

Keywords

MEASURE OF NONCOMPACTNESSTEMPERED FUNCTIONSUBLINEAR MEASUREASYMPTOTIC STABILITYSTOCHASTIC MODEL FOR CHEMOTHERAPY
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 2 , June 1988 , pp. 257 - 267
Copyright
Copyright © Applied Probability Trust 1988 

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