Evolution differential equations in Fréchet sequence spaces

Oleg Zubelevich

Colloquium Mathematicae (2016)

  • Volume: 143, Issue: 2, page 251-264
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Oleg Zubelevich. "Evolution differential equations in Fréchet sequence spaces." Colloquium Mathematicae 143.2 (2016): 251-264. <http://eudml.org/doc/284034>.

@article{OlegZubelevich2016,
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.},
author = {Oleg Zubelevich},
journal = {Colloquium Mathematicae},
keywords = {Cauchy-Kovalevskaya problem; infinite-dimensional evolution equations; infinite-order system of ODEs; countable system of ODEs},
language = {eng},
number = {2},
pages = {251-264},
title = {Evolution differential equations in Fréchet sequence spaces},
url = {http://eudml.org/doc/284034},
volume = {143},
year = {2016},
}

TY - JOUR
AU - Oleg Zubelevich
TI - Evolution differential equations in Fréchet sequence spaces
JO - Colloquium Mathematicae
PY - 2016
VL - 143
IS - 2
SP - 251
EP - 264
AB - 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.
LA - eng
KW - Cauchy-Kovalevskaya problem; infinite-dimensional evolution equations; infinite-order system of ODEs; countable system of ODEs
UR - http://eudml.org/doc/284034
ER -

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