| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774167 | Journal of Differential Equations | 2017 | 12 Pages |
Abstract
We give a simple proof of a fairly flexible comparison theorem for equations of the type â(p(uâ²+su))â²+rp(uâ²+su)+qu=0 on a finite interval where 1/p, r, s, and q are real and integrable. Flexibility is provided by two functions which may be chosen freely (within limits) according to the situation at hand. We illustrate this by presenting some examples and special cases which include Schrödinger equations with distributional potentials as well as Jacobi difference equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ahmed Ghatasheh, Rudi Weikard,