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The initial value problem for the Schrödinger equation involving the Henstock–Kurzweil integral

2017; Unión Matemática Argentina; Volume: 58; Issue: 2 Linguagem: Inglês

ISSN

1669-9637

Autores

Salvador Sánchez-Perales,

Tópico(s)

Numerical methods for differential equations

Resumo

Let L be the one-dimensional Schrodinger operator defined by Ly=−y′′+qy. We investigate the existence of a solution to the initial value problem for the differential equation (L−λ)y=g, when q and g are Henstock–Kurzweil integrable functions on [a,b]. Results presented in this article are generalizations of classical results for the Lebesgue integral.

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