Existence of multiple positive solutions for a nonlocal boundary value problem
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Nonlocal boundary value problems, multiple positive solutions, Krasnosel'skiĭ's fixed point theoremAbstrakt
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.Pobrania
Opublikowane
2002-03-01
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1.
KARAKOSTAS, George L. & TSAMATOS, Panagiotis Ch. Existence of multiple positive solutions for a nonlocal boundary value problem. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2002, T. 19, nr 1, s. 109–121. [udostępniono 22.7.2024].
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