Countably many solutions of a fourth order boundary value problem

We apply fixed point theorems to obtain sufficient conditions for existence of infinitely many solutions of a nonlinear fourth order boundary value problem $$\displaylines{ u^{(4)}(t) = a(t)f(u(t)), \quad 0 < t < 1, \cr u(0) = u(1) = u'(0) = u'(1) = 0, }$$ where $a(t)$ is $L^p$-integ...

Full description

Bibliographic Details
Main Author: Nickolai Kosmatov
Format: Article
Language:English
Published: University of Szeged 2004-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=188