Existence of multiple positive solutions for a nonlocal boundary value problem

George L. Karakostas, Panagiotis Ch. Tsamatos

DOI: http://dx.doi.org/10.12775/TMNA.2002.007

Abstract


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.

Keywords


Nonlocal boundary value problems; multiple positive solutions; Krasnosel'skiĭ's fixed point theorem

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism