Remarks on coupled Abel type integral equations
Volume 163 / 2021
Colloquium Mathematicum 163 (2021), 223-232
MSC: Primary 45D05; Secondary 45G10, 45M20.
DOI: 10.4064/cm8030-10-2019
Published online: 30 June 2020
Abstract
Coupled nonlinear Abel type integral equations related to combustion problems are considered. The basic results provide criteria for the existence of positive solutions. They are expressed in terms of the generalized Osgood condition. The global behaviour of the solutions, especially the conditions when they experience blow up is also discussed.
