Second order differential inequalities in Banach spaces

Gerd Herzog, and Roland Lemmert. "Second order differential inequalities in Banach spaces." Annales Polonici Mathematici 77.1 (2001): 69-78. <http://eudml.org/doc/280435>.

@article{GerdHerzog2001,
abstract = {We derive monotonicity results for solutions of ordinary differential inequalities of second order in ordered normed spaces with respect to the boundary values. As a consequence, we get an existence theorem for the Dirichlet boundary value problem by means of a variant of Tarski's Fixed Point Theorem.},
author = {Gerd Herzog, Roland Lemmert},
journal = {Annales Polonici Mathematici},
keywords = {differential inequality; ordered normed space; Tarski's fixed-point theorem},
language = {eng},
number = {1},
pages = {69-78},
title = {Second order differential inequalities in Banach spaces},
url = {http://eudml.org/doc/280435},
volume = {77},
year = {2001},
}

TY - JOUR
AU - Gerd Herzog
AU - Roland Lemmert
TI - Second order differential inequalities in Banach spaces
JO - Annales Polonici Mathematici
PY - 2001
VL - 77
IS - 1
SP - 69
EP - 78
AB - We derive monotonicity results for solutions of ordinary differential inequalities of second order in ordered normed spaces with respect to the boundary values. As a consequence, we get an existence theorem for the Dirichlet boundary value problem by means of a variant of Tarski's Fixed Point Theorem.
LA - eng
KW - differential inequality; ordered normed space; Tarski's fixed-point theorem
UR - http://eudml.org/doc/280435
ER -