We analyze the existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations, including equations with weakly singular kernels. Of particular interest are those integral equations that can be transformed into cordial Volterra integral equations whose underlying integral operator may be non-compact.
Scopus Subject Areas
- Numerical Analysis
- Applied Mathematics
- Cordial Volterra integral equation
- Existence and regularity of solutions
- Volterra integral equation of the third kind