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Keywords:
Henstock-Kurzweil integral; Schrödinger operator; ${\rm ACG}_{*}$-function; bounded variation function
Henstock-Kurzweil integral; Schrödinger operator; ${\rm ACG}_{*}$-function; bounded variation function
Summary:
In the present paper, we investigate the existence of solutions to boundary value problems for the one-dimensional Schrödinger 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.
References:
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