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.
"Coupled Volterra integral equations with blowing up solutions." J. Integral Equations Applications 30 (1) 147 - 166, 2018. https://doi.org/10.1216/JIE-2018-30-1-147