Evolution differential equations in Fréchet sequence spaces
Oleg Zubelevich
Colloquium Mathematicae, Tome 144 (2016), p. 251-264 / Harvested from The Polish Digital Mathematics Library
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We consider evolution differential equations in Fréchet spaces with unconditional Schauder basis, and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE are also considered.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:284034 
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     author = {Oleg Zubelevich},
     title = {Evolution differential equations in Fr\'echet sequence spaces},
     journal = {Colloquium Mathematicae},
     volume = {144},
     year = {2016},
     pages = {251-264},
     zbl = {06574985},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6710-1-2016}
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Oleg Zubelevich. Evolution differential equations in Fréchet sequence spaces. Colloquium Mathematicae, Tome 144 (2016) pp. 251-264. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6710-1-2016/