On one-sided estimates for row-finite systems of ordinary differential equations

Gerd Herzog

Mathematica Bohemica (1999)

  • Volume: 124, Issue: 1, page 67-76
  • ISSN: 0862-7959

Abstract

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We prove an existence and uniqueness theorem for row-finite initial value problems. The right-hand side of the differential equation is supposed to satisfy a one-sided matrix Lipschitz condition with a quasimonotone row-finite matrix which has an at most countable spectrum.

How to cite

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Herzog, Gerd. "On one-sided estimates for row-finite systems of ordinary differential equations." Mathematica Bohemica 124.1 (1999): 67-76. <http://eudml.org/doc/248467>.

@article{Herzog1999,
abstract = {We prove an existence and uniqueness theorem for row-finite initial value problems. The right-hand side of the differential equation is supposed to satisfy a one-sided matrix Lipschitz condition with a quasimonotone row-finite matrix which has an at most countable spectrum.},
author = {Herzog, Gerd},
journal = {Mathematica Bohemica},
keywords = {Fréchet spaces; row-finite systems; one-sided estimates; row-finite matrices; Fréchet spaces; row-finite systems; one-sided estimates; row-finite matrices},
language = {eng},
number = {1},
pages = {67-76},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On one-sided estimates for row-finite systems of ordinary differential equations},
url = {http://eudml.org/doc/248467},
volume = {124},
year = {1999},
}

TY - JOUR
AU - Herzog, Gerd
TI - On one-sided estimates for row-finite systems of ordinary differential equations
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 1
SP - 67
EP - 76
AB - We prove an existence and uniqueness theorem for row-finite initial value problems. The right-hand side of the differential equation is supposed to satisfy a one-sided matrix Lipschitz condition with a quasimonotone row-finite matrix which has an at most countable spectrum.
LA - eng
KW - Fréchet spaces; row-finite systems; one-sided estimates; row-finite matrices; Fréchet spaces; row-finite systems; one-sided estimates; row-finite matrices
UR - http://eudml.org/doc/248467
ER -

References

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