COUPLED VOLTERRA INTEGRAL EQUATIONS WITH BLOWING UP SOLUTIONS

In this paper, a system of nonlinear integral equations related to combustion problems is considered. Necessary and sufficient conditions for the existence and explosion of positive solutions are given. In addition, the uniqueness of the positive solutions is shown. The main results are obtained by...

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Bibliographic Details
Published in:The Journal of integral equations and applications 2018-04, Vol.30 (1), p.147-166
Main Author: MYDLARCZYK, WOJCIECH
Format: Article
Language:English
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Summary:In this paper, a system of nonlinear integral equations related to combustion problems is considered. Necessary and sufficient conditions for the existence and explosion of positive solutions are given. In addition, the uniqueness of the positive solutions is shown. The main results are obtained by monotonicity methods.
ISSN:0897-3962
1938-2626
DOI:10.1216/JIE-2018-30-1-147