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Existence of solutions of a class of stochastic Volterra integral equations with applications to chemotherapy

Published online by Cambridge University Press:  17 February 2009

R. Subramaniam  and
K. Balachandran
R. Subramaniam
Affiliation:
Department of Mathematics, Bharathiar University, Coimbatore-641046, Tamil Nadu, India.
K. Balachandran
Affiliation:
Department of Mathematics, Bharathiar University, Coimbatore-641046, Tamil Nadu, India.
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Abstract

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In this paper we establish the existence of solutions of a more general class of stochastic integral equation of Volterra type. The main tools used here are the measure of noncompactness and the fixed point theorem of Darbo. The results generalize the results of Tsokos and Padgett [9] and Szynal and Wedrychowicz [7]. An application to a stochastic model arising in chemotherapy is discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 1 , July 1999 , pp. 93 - 104
Copyright
Copyright © Australian Mathematical Society 1999

References

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