## Integral Equations and Transforms

Department:
MATH
Course Number:
6583
Hours - Lecture:
3
Hours - Lab:
0
Hours - Recitation:
0
Hours - Total Credit:
3
Typical Scheduling:
Every odd summer

Volterra and Fredholm linear integral equations, relation to differential equations, solution methods, Fourier, Laplace and Mellin transforms, applications to boundary value problems and integral equations.

Prerequisites:
Course Text:

No text

Topic Outline:
• Hilbert spaces, Fredholm alternative
• Fixed point theorems
• Volterra equations of the first and second kind
• Fredholm equations with L kernels
• Compact operators
• Integral operators with kernels of finite rank