Abstract:
In this article, we study a non-modal two-dimensional Volterra-type integral equation with a strong-singular and a weak-singular line on a strip. A modal two-dimensional Volterra-type integral equation with boundary strong-special and weakly-special lines on the strip was studied earlier in the case when the parameters of the equation are related to each other and are not related. It is considered a non-model type two-dimensional integral equation with a strongly singular and weakly singular line on a strip in this article in the case when the functions present in the kernel are interconnected. Depending on signs of the given functions in special points, in one of the cases the solution of the integral equation contains two arbitrary functions depending on one variable, one arbitrary function depending on one variable, and the case when the solution of the integral equation is unique.
Keywords:non-model integral equation, weakly singular line, strong-singular line, arbitrary
function.
