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Existence of Random Solutions of a General Class of Stochastic Functional Integral Equations
Authors:
R. Subramaniam a;
K. Balachandran b;
J. K. Kim c
| Affiliations: | a Department of Mathematics, K.K. College, Velur (Namakkal), Tamil Nadu, India |
| b Department of Mathematics, Bharathiar University, Coimbatore, India | |
| c Department of Mathematics, Kyungnam University, Masan, Kyungnam, Korea |
DOI:
10.1081/SAP-120024709
Publication Frequency:
6 issues per year
Published in:
Stochastic Analysis and Applications,
Volume
21,
Issue
5
January
2003
, pages 1189
- 1205
Stochastic Analysis and Applications,
Volume
21,
Issue
5
January
2003
, pages 1189
- 1205
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Abstract
In this paper, we establish the existence of solutions of a more general class of stochastic functional integral equations. The main tools here are the measure of noncompactness and the fixed point theorem of Darbo type. The results of this paper generalize the results of Rao-Tsokos [Rao, A.N.V.; Tsokos, C.P. A class of stochastic functional integral equations. Coll. Math. 1976, 35, 141-146.] and Szynal-Wedrychowicz [Szynal, D.; Wedrychowicz, S. On existence and an asymptotic behaviour of random solutions of a class of stochastic functional integral equations. Coll. Math. 1987, 51, 349-364.].
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| Keywords: Random solutions; Measure of noncompactness; Stochastic functional integral equation |
| 2000 Mathematics Subject Classifications: 60 H 20 |
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