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Zbl 0645.34014
Guo, Dajun; Lakshmikantham, V.
Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces.
(English)
[J] J. Math. Anal. Appl. 129, No.1, 211-222 (1988). ISSN 0022-247X

This paper deals with the existence of multiple positive solutions of the boundary value problem $-x''=f(t,x)$, $t\in I$, $x(0)=x(1)=\theta$, where $I=<0,1>$ and f is a continuous mapping from $I\times P$ into P (P is a normal cone of the real Banach space E) and $\theta$ is the zero element of E. Some special cases are discussed.
[P.Chocholatý]
MSC 2000:
*34B10 Multipoint boundary value problems
34B15 Nonlinear boundary value problems of ODE

Keywords: multiple positive solutions

Cited in: Zbl 0976.47032

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