On BVPs in l∞(A).

Gerd Herzog; Roland Lemmert

Extracta Mathematicae (2005)

  • Volume: 20, Issue: 1, page 13-23
  • ISSN: 0213-8743

Abstract

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We prove the existence of extremal solutions of Dirichlet boundary value problems for u''a + fa(t,u,u'a) = 0 in l∞(A) between a generalized pair of upper and lower functions with respect to the coordinatewise ordering, and for f quasimonotone increasing in its second variable.

How to cite

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Herzog, Gerd, and Lemmert, Roland. "On BVPs in l∞(A).." Extracta Mathematicae 20.1 (2005): 13-23. <http://eudml.org/doc/38775>.

@article{Herzog2005,
abstract = {We prove the existence of extremal solutions of Dirichlet boundary value problems for u''a + fa(t,u,u'a) = 0 in l∞(A) between a generalized pair of upper and lower functions with respect to the coordinatewise ordering, and for f quasimonotone increasing in its second variable.},
author = {Herzog, Gerd, Lemmert, Roland},
journal = {Extracta Mathematicae},
keywords = {boundary value problem; extremal solution; cone},
language = {eng},
number = {1},
pages = {13-23},
title = {On BVPs in l∞(A).},
url = {http://eudml.org/doc/38775},
volume = {20},
year = {2005},
}

TY - JOUR
AU - Herzog, Gerd
AU - Lemmert, Roland
TI - On BVPs in l∞(A).
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 1
SP - 13
EP - 23
AB - We prove the existence of extremal solutions of Dirichlet boundary value problems for u''a + fa(t,u,u'a) = 0 in l∞(A) between a generalized pair of upper and lower functions with respect to the coordinatewise ordering, and for f quasimonotone increasing in its second variable.
LA - eng
KW - boundary value problem; extremal solution; cone
UR - http://eudml.org/doc/38775
ER -

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