A symmetric spectral method is applied to investigate the two-dimensional Volterra integral equation with weakly singular kernels and delays. In this work, solution of we considered assumed be sufficiently smooth so that can naturally. Employing three couples variable transformations, apply Gauss quadrature rule approximate delays obtain discretization. Then derive convergence results proposed ...

Abstract In this work we study the Ulam–Hyers stability of a differential equation. Its proof is based on Banach fixed point theorem in some space continuous functions equipped with norm $\|\cdot \|_{\infty }$ ∥ ⋅ ∞ . Moreover, ge...