| Code |
Course Name |
Language |
Type |
| MAT 447 |
Integral Equations |
Turkish |
Elective |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 201 MIN DD
or MAT 201E MIN DD
or MAT 232 MIN DD
or MAT 232E MIN DD
or MAT 210 MIN DD
or MAT 210E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Introduction; the classification of integral equations. Fredholm alternative in finite dimensional
spaces. Hilbert spaces. Volterra integral equations. Integral equations with weak kernel.
Degenerate kernels and Fredholm’s alternative. Integral Equation with L_2 Kernels; compact
and self-adjoint compact operators (Hilbert-Schmidt operators) . Positive operators. The upper
and lower boundaries for Eigen-values. Fredholm equations with self-adjoint compact operator.
Fredholm’s alternative. Fredholm’s theory. Some singular integral equations; the solutions with
Fourier and Laplace transformations. Projection method. Weiner-Hopf method. |
|
