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.
Keywords:
derive monotonicity results solutions ordinary differential inequalities second order ordered normed spaces respect boundary values consequence get existence theorem dirichlet boundary value problem means variant tarskis fixed point theorem
Affiliations des auteurs :
Gerd Herzog
1
;
Roland Lemmert
1
1
Math. Institut I Universität Karlsruhe Englerstr. 2 76128 Karlsruhe, Germany
@article{10_4064_ap77_1_6,
author = {Gerd Herzog and Roland Lemmert},
title = {Second order differential inequalities in {Banach} spaces},
journal = {Annales Polonici Mathematici},
pages = {69--78},
year = {2001},
volume = {77},
number = {1},
doi = {10.4064/ap77-1-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap77-1-6/}
}
TY - JOUR
AU - Gerd Herzog
AU - Roland Lemmert
TI - Second order differential inequalities in Banach spaces
JO - Annales Polonici Mathematici
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Gerd Herzog; Roland Lemmert. Second order differential inequalities in Banach spaces. Annales Polonici Mathematici, Tome 77 (2001) no. 1, pp. 69-78. doi: 10.4064/ap77-1-6
