Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral

• DOI: 10.21136/cmj.2019.0388-18
• Publication Date: 2019-12-13T08:23:59Z
• Authors: Salvador Sánchez-...; Francisco J. Mend...
• Keywords: Value (mathematics)

In the present paper, we investigate the existence of solutions to boundary value problems for the one-dimensional Schrodinger equation $-y''+qy=f$, where $q$ and $f$ are Henstock-Kurzweil integrable functions on $[a,b]$. Results presented in this article are generalizations of the classical results for the Lebesgue integral.