Eigenvalues of Volterra Operator

Abstract

Integral equations frequently appear in many mechanics problems. Several of them are grouped based on the location of an unknown function or the integration interval. Here we have a boundary problem that will be rearranged into Volterra integral equation. From this equation, the integral operator (namely the Volterra operator) will be developed by determining the kernel. Then the eigenvalues of this operator will be sought.

Keywords

• volterra integral equation
• kernel
• volterra operator
• eigenvalues