2 papers
math.CA2026
Theory and Computation of Discrete Sturm--Liouville Problems on Non-Uniform Grids via the Prüfer Transformation
Bailyn Hall, Kimsear Lor
We study a discrete version of the Sturm--Liouville eigenvalue problem on grids whose spacing may vary from point to point, using the discrete Prüfer transformation. We show that a…
math.GM2025
Existence Result for Difference Equations on Non-Uniform Grids via Upper and Lower Solution Method
Shalmali Bandyopadhyay, Kimser Lor
This paper establishes an existence theory for discrete second-order boundary value problems on non-uniform time grids using the upper and lower solution method. We consider differ…