Second order differential inequalities in Banach spaces
Gerd Herzog ; Roland Lemmert
Annales Polonici Mathematici, Tome 77 (2001), p. 69-78 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:280435 
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Gerd Herzog; Roland Lemmert. Second order differential inequalities in Banach spaces. Annales Polonici Mathematici, Tome 77 (2001) pp. 69-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-1-6/