A system of Volterra integral equations with blowing up solutions
Volume 146 / 2017
Colloquium Mathematicum 146 (2017), 99-110
MSC: Primary 45G15; Secondary 45D05, 45M20.
DOI: 10.4064/cm6842-1-2016
Published online: 26 August 2016
Abstract
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.
