# On Two-Point Right Focal Eigenvalue Problems

### Patricia J.Y. Wong

Nanyang Technological University, Singapore, Singapore### R.P. Agarwal

National University of Singapore, Singapore

## Abstract

We consider the boundary value problem

$(–1)_{n–p}y_{(n}=λF(t,y,y_{′},…,y_{(p)}(n≥2,t∈(0,1))$

$y_{(i)}(0)=0(0≤i≤p–1)$

$y_{(i)}(1)=0(p≤i≤n–1)$

where $λ>0$ and $1≤p≤n–1$ are fixed. The values of $λ$ are characterized so that the boundary value problem has a positive solution. We also establish explicit intervals of $λ$. Examples are included to dwell upon the importance of the results obtained.

## Cite this article

Patricia J.Y. Wong, R.P. Agarwal, On Two-Point Right Focal Eigenvalue Problems. Z. Anal. Anwend. 17 (1998), no. 3, pp. 691–713

DOI 10.4171/ZAA/845