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

Salvador Sánchez-PeralesFrancisco J. Mendoza-Torres — 2020

Czechoslovak Mathematical Journal

In the present paper, we investigate the existence of solutions to boundary value problems for the one-dimensional Schrödinger equation - y ' ' + q y = 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.

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