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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_21136_CMJ_2019_0388_18,
     author = {S\'anchez-Perales, Salvador and Mendoza-Torres, Francisco J.},
     title = {Boundary value problems for the {Schr\"odinger} equation involving the {Henstock-Kurzweil} integral},
     journal = {Czechoslovak Mathematical Journal},
     pages = {519--537},
     publisher = {mathdoc},
     volume = {70},
     number = {2},
     year = {2020},
     doi = {10.21136/CMJ.2019.0388-18},
     mrnumber = {4111857},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0388-18/}
}
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
SP  - 519
EP  - 537
VL  - 70
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0388-18/
DO  - 10.21136/CMJ.2019.0388-18
LA  - en
ID  - 10_21136_CMJ_2019_0388_18
ER  - 
%0 Journal Article
%A Sánchez-Perales, Salvador
%A Mendoza-Torres, Francisco J.
%T Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral
%J Czechoslovak Mathematical Journal
%D 2020
%P 519-537
%V 70
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0388-18/
%R 10.21136/CMJ.2019.0388-18
%G en
%F 10_21136_CMJ_2019_0388_18
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. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0388-18/

Cité par Sources :