A system of Volterra integral equations with blowing up solutions
systems of nonlinear Volterra integral equations
The author studies a system of nonlinear Volterra integral equations arising in the modeling of combustion processes. The main results are the existence of a unique nontrivial (positive) solution (Theorem 2.1), and respectively, the existence of a blowing up solution (Theorem 2.2). The approach involves the use of monotonicity methods.
scientific article; zbMATH DE number 6654813