We consider the equation where and We assume that this equation is correctly solvable in Lp (R). Under these assumptions, we study the problem of compactness of the resolvent of the maximal continuously invertible Sturm-Liouville operator. Here In the case p = 2, for the compact operator, we obtain two-sided sharp-by-order estimates of the maximal eigenvalue.
|Number of pages||26|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|State||Published - 1 Jun 2016|
- Sturm-Liouville operator
- compactness of resolvent
- estimates of minimal eigenvalues