Geodesic
Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 519-537

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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.
DOI : 10.21136/CMJ.2019.0388-18
Classification : 26A39, 26A45, 34B24
Keywords: Henstock-Kurzweil integral; Schrödinger operator; ${\rm ACG}_{*}$-function; bounded variation function 
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     title = {Boundary value problems for the {Schr\"odinger} equation involving the {Henstock-Kurzweil} integral},
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Sánchez-Perales, Salvador; Mendoza-Torres, Francisco J. Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 519-537. doi: 10.21136/CMJ.2019.0388-18

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