A class of singular Sturm–Liouville problems with discrete spectrum

Key Points

• The spectrum consists of discrete eigenvalues, demonstrating clear behavior in singular eigenvalue problems.
• Key findings confirm the presence of distinct eigenvalues when coefficients exhibit singular behavior near interval ends.
• Analysis employs an original method to address the Sturm–Liouville equation across a finite interval with specific conditions.
• Results imply potential implications for solving singular Sturm–Liouville problems in various mathematical applications.

Abstract