Laplace transform of functions defined on a bounded interval
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 40 (2015), p. 99
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Laplace transform $\dot{\mathcal L}$ for functions belonging to $L[0,b], \; 0 b \infty$ is defined. This definition is given by using the idea of H. Komatsu $[$J. Fac. Sci. Univ. Tokyo, IA, {\bf34} {\rm(1987), 805--820]} and $[$Structure of solutions of differential equations $($Katata/Kyoto, $1995)$, pp. {\rm 227--252}, World Sci. Publishing, River Edge, NJ, {\rm1996]}.
for Laplace hyperfunctions. As an application of $\dot{\mathcal L}$ we solve an equation with fractional derivative and an integral equation of the first kind of convolution type.
Classification :
46F12
Keywords: space of locally integrable functions, Laplace transform of functions belonging to $L[0;b];\;0
Keywords: space of locally integrable functions, Laplace transform of functions belonging to $L[0;b];\;0
Bogoljub Stanković. Laplace transform of functions defined on a bounded interval. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 40 (2015), p. 99 . http://geodesic.mathdoc.fr/item/BASS_2015_40_a6/
@article{BASS_2015_40_a6,
author = {Bogoljub Stankovi\'c},
title = {Laplace transform of functions defined on a bounded interval},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {99 },
year = {2015},
volume = {40},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2015_40_a6/}
}
TY - JOUR AU - Bogoljub Stanković TI - Laplace transform of functions defined on a bounded interval JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2015 SP - 99 VL - 40 UR - http://geodesic.mathdoc.fr/item/BASS_2015_40_a6/ LA - en ID - BASS_2015_40_a6 ER -