A system of Abel type integral equations
Volume 175 / 2024
Colloquium Mathematicum 175 (2024), 263-276
MSC: Primary 45D05; Secondary 45G10, 45M20
DOI: 10.4064/cm9284-4-2024
Published online: 31 July 2024
Abstract
Coupled nonlinear Abel type integral equations related to combustion problems are considered. The main results provide criteria for the existence of positive solutions. The criteria are expressed in terms of the generalized Osgood condition. The global behaviour of the solutions is also discussed, especially the conditions under which the solutions experience blow up.
