Evolution differential equations in Fréchet sequence spaces
Volume 143 / 2016
Colloquium Mathematicum 143 (2016), 251-264
MSC: 58D25, 34G20.
DOI: 10.4064/cm6710-1-2016
Published online: 15 January 2016
Abstract
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.