Geodesic
A system of Volterra integral equations with blowing up solutions
Wojciech Mydlarczyk1
1 Faculty of Pure and Applied Mathematics Hugo Steinhaus Center Wrocław University of Science and Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 99-110.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. Also the uniqueness of positive solutions is shown. The main results are obtained by monotonicity methods.
DOI : 10.4064/cm6842-1-2016
Keywords: system nonlinear integral equations related combustion problems considered necessary sufficient conditions existence explosion positive solutions given uniqueness positive solutions shown main results obtained monotonicity methods

Wojciech Mydlarczyk 1

1 Faculty of Pure and Applied Mathematics Hugo Steinhaus Center Wrocław University of Science and Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland 
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Wojciech Mydlarczyk. A system of Volterra integral equations with blowing up solutions. Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 99-110. doi : 10.4064/cm6842-1-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6842-1-2016/

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