Existence of positive solutions for a nonlinear fourth order boundary value problem
Ruyun Ma
Annales Polonici Mathematici, Tome 81 (2003), p. 79-84 / Harvested from The Polish Digital Mathematics Library
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We study the existence of positive solutions of the nonlinear fourth order problem u(4)(x)=λa(x)f(u(x)), u(0) = u’(0) = u”(1) = u”’(1) = 0, where a: [0,1] → ℝ may change sign, f(0) < 0, and λ < 0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:286260 
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Ruyun Ma. Existence of positive solutions for a nonlinear fourth order boundary value problem. Annales Polonici Mathematici, Tome 81 (2003) pp. 79-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-7/