Existence Theorems for a Fourth Order Boundary Value Problem
A. El-Haffaf
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009), p. 135-148 / Harvested from The Polish Digital Mathematics Library
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This paper treats the question of the existence of solutions of a fourth order boundary value problem having the following form: x(4)(t)+f(t,x(t),x''(t))=0, 0 < t < 1, x(0) = x’(0) = 0, x”(1) = 0, x(3)(1)=0. Boundary value problems of very similar type are also considered. It is assumed that f is a function from the space C([0,1]×ℝ²,ℝ). The main tool used in the proof is the Leray-Schauder nonlinear alternative.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:286604 
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A. El-Haffaf. Existence Theorems for a Fourth Order Boundary Value Problem. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 135-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-2-7/