We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of . The Borel transformation of power series and residue theory are used as the main methods of investigation.
@article{bwmeta1.element.bwnjournal-article-bcpv33z1p189bwm,
author = {Leinartas, Eugeni},
title = {On the Cauchy problem in a class of entire functions in several variables},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {189-192},
zbl = {0903.32001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p189bwm}
}
Leinartas, Eugeni. On the Cauchy problem in a class of entire functions in several variables. Banach Center Publications, Tome 37 (1996) pp. 189-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p189bwm/
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