L2-transforms for boundary value problems

Document Type : Research Paper


Department of applied mathematics, faculty of mathematical sciences, University of Guilan, Rasht-Iran, P. O. Box 1841


In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.