## Topological Methods in Nonlinear Analysis

### Multiplicity of solutions for asymptotically linear $n$-th order boundary value problems

Francesca Dalbono

#### Abstract

In this paper we investigate existence and multiplicity of solutions, with prescribed nodal properties, to a two-point boundary value problem of asymptotically linear $n$-th order equations. The proof follows a shooting approach and it is based on the weighted eigenvalue theory for linear $n$-th order boundary value problems.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 30, Number 1 (2007), 67-85.

Dates
First available in Project Euclid: 13 May 2016

https://projecteuclid.org/euclid.tmna/1463150074

Mathematical Reviews number (MathSciNet)
MR2363655

Zentralblatt MATH identifier
1144.34008

#### Citation

Dalbono, Francesca. Multiplicity of solutions for asymptotically linear $n$-th order boundary value problems. Topol. Methods Nonlinear Anal. 30 (2007), no. 1, 67--85. https://projecteuclid.org/euclid.tmna/1463150074

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