Electron. J. Diff. Eqns., Vol. 2002(2002), No. 80, pp. 1-10.
### A note on the singular Sturm-Liouville problem with infinitely
many solutions

Nickolai Kosmatov

**Abstract:**

We consider the Sturm-Liouville nonlinear boundary-value problem

where
,
,
,
,
and
is in a class of singular functions. Using a fixed point
theorem we show that under certain growth conditions
imposed on
the problem admits infinitely many solutions.
Submitted November 13, 2001. Published September 27, 2002.

Math Subject Classifications: 34B16, 34B18.

Key Words: Sturm-Liouville problem, Green's function,
fixed point theorem, Holder's inequality,
multiple solutions.

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Nickolai Kosmatov

Department of Mathematics and Statistics

University of Arkansas at Little Rock

Little Rock, Arkansas 72204-1099, USA

e-mail: nxkosmatov@ualr.edu

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