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On a class of Volterra and Fredholm non-linear integral equations

Published online by Cambridge University Press:  24 October 2008

P. J. Bushell
P. J. Bushell
Affiliation:
Mathematics Division, University of Sussex
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Extract

This paper concerns the existence and uniqueness of non-negative solutions of non-linear Volterra integral equations of the type

and

where the kernel function k(.,.) is non-negative and sufficiently smooth, and either 0 < p < 1 or – 1 < p < 1. We will consider also the corresponding Fredholm equations

and

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 2 , March 1976 , pp. 329 - 335
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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