The third-order polynomial bundle and eigenfunctions
| Subject | Spectral theory |
| Title | The third-order polynomial bundle and eigenfunctions |
| Author(s) | Abdizhahan Sarsenbi ,Abdisalam Sarsenbi |
| Keywords | operator bundle, eigenfunctions, basis, differential operator with involution. |
| Abstract | At the space L_2 (-1,1) we consider the bundle [1] of the third order with involution
Au=(α^2-1) u^''' (x)-αλ^2 u^' (-x)+λ^3 u(-x), α≠0,α≠±1
And the corresponding it equation
(α^2-1) u^''' (x)-αλ^2 u^' (-x)+λ^3 u(-x)=0,-1 |