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.
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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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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