Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral
Salvador Sánchez-Perales; Francisco J. Mendoza-Torres
Czechoslovak Mathematical Journal (2020)
- Volume: 70, Issue: 2, page 519-537
- ISSN: 0011-4642
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topSánchez-Perales, Salvador, and Mendoza-Torres, Francisco J.. "Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral." Czechoslovak Mathematical Journal 70.2 (2020): 519-537. <http://eudml.org/doc/297095>.
@article{Sánchez2020,
abstract = {In the present paper, we investigate the existence of solutions to boundary value problems for the one-dimensional Schrödinger equation $-y^\{\prime \prime \}+qy=f$, 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.},
author = {Sánchez-Perales, Salvador, Mendoza-Torres, Francisco J.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Henstock-Kurzweil integral; Schrödinger operator; $\{\rm ACG\}_\{*\}$-function; bounded variation function},
language = {eng},
number = {2},
pages = {519-537},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral},
url = {http://eudml.org/doc/297095},
volume = {70},
year = {2020},
}
TY - JOUR
AU - Sánchez-Perales, Salvador
AU - Mendoza-Torres, Francisco J.
TI - Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 2
SP - 519
EP - 537
AB - In the present paper, we investigate the existence of solutions to boundary value problems for the one-dimensional Schrödinger equation $-y^{\prime \prime }+qy=f$, 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.
LA - eng
KW - Henstock-Kurzweil integral; Schrödinger operator; ${\rm ACG}_{*}$-function; bounded variation function
UR - http://eudml.org/doc/297095
ER -
References
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