This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra
integral equations (VIEs), ranging from Volterra's fundamental contributions and the …

In this work, we will consider piecewise polynomial collocation methods for a new class of
integral–algebraic equations of index-3. An analysis of the global convergence properties of …

This paper develops a well-conditioned Jacobi spectral Galerkin method for the analysis of
Volterra-Hammerstein integral equations with weakly singular kernels and proportional …

In this article, we study the piecewise multistep collocation method for a class of functional
integral equations with non-vanishing delays. Based on the notions of the tractability index …

In this paper, we consider product integration method based on orthogonal polynomials to
solve mixed system of Volterra integral equations of the first and second kind with weakly …

This paper mainly focuses on the integral-algebraic equations (IAEs) of Hessenberg type.
The tractability index is investigated. The existence, uniqueness, and regularity are …

It is known that the coupled system consisting of Volterra integral equations of the first and
second kind belongs to the class of moderately ill-posed problems. In the present paper, we …

This paper aims to present a product integration approach based on the first kind of
Chebyshev polynomials to solve the weakly singular integral-algebraic equations of index-1 …

Исследуется система линейных интегральных уравнений Вольтерра с тождественно
вырож денной матрицей перед главной частью (интегроалгебраические уравнения) …

We describe a method for analyzing the structure of a system of nonlinear integro-differential–
algebraic equations (IDAEs) that generalizes the Σ-method for the structural analysis of …