Existence of multiple positive solutions for a nonlocal boundary value problem
Keywords
Nonlocal boundary value problems, multiple positive solutions, Krasnosel'skiĭ's fixed point theoremAbstract
Sufficient conditions are given for the existence of multiple positive solutions of a boundary value problem of the form $x''(t)+q(t)f(x(t))=0$, $t\in [0,1]$, $x(0)=0$ and $x(1)=\int_{\alpha}^{\beta}x(s)dg(s)$, where $0< \alpha < \beta < 1$. A weaker boundary value problem is used to get information on the corresponding integral operator. Then the results follow by applying the Krasnosel'skiĭ fixed point theorem on a suitable cone.Downloads
Published
2002-03-01
How to Cite
1.
KARAKOSTAS, George L. and TSAMATOS, Panagiotis Ch. Existence of multiple positive solutions for a nonlocal boundary value problem. Topological Methods in Nonlinear Analysis. Online. 1 March 2002. Vol. 19, no. 1, pp. 109 - 121. [Accessed 23 April 2024].
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