# Multiple Solutions for a System of $(n_i, p_i) Boundary Value Problems

### Patricia J.Y. Wong

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

National University of Singapore, Singapore

## Abstract

We consider the system of boundary value problems

$u_1^{n_i}(t)+f_i(t,u_1(t),...,u_m(t))=0$

$u_i^{(j)}(0)=0$

$u_i^{(p_i)}(1)=0$

for $t \in [0, 1], i = 1, ..., m$ and $0 ≤ j ≤ n_j$ where $n_i ≥ 2$ and $1 ≤ p_i ≤n_i – 1$. Several criteria are offered for the existence of single and twin solutions of the system that are of fixed signs.

## Cite this article

Patricia J.Y. Wong, R.P. Agarwal, Multiple Solutions for a System of $(n_i, p_i) Boundary Value Problems. Z. Anal. Anwend. 19 (2000), no. 2, pp. 511–528

DOI 10.4171/ZAA/964