On the Uniqueness of Solvability of the Volterra Partial Integral Equation with Weak Singularity
摘要
Abstract
The article discusses the conditions of the solvability of the Volterra partial integral equation in the space of continuous functions. Sufficient conditions of the unique solvability of this type of equations are obtained for a separate class of kernels with weak singularity. The solution of the equation is constructed in explicit form.