The University of Queensland

Department of Mathematics
Analysis Seminar

**Multi-Point Boundary Value Problems of Ordinary Differential
Equations
**

Professor Ruyun Ma

Northwest Normal University, P. R. China

2pm on Wednesday 1 September 2004

Room
641, Priestley (Mathematics) Building

### Abstract

We show the existence of positive
solutions and the global behavior of positive solutions of
nonlinear multi-point boundary value problem

u''+f(t,u)=0, (1)
u(0)=0, u(1)=a u(b),
(2)

where b belongs to (0,1) . This is achieved by Fixed-Point Index and
Global Continuation Principle of Leray-Schauder. Boundary
condition (2) will reduce to Direchlet boundary condition
u(0)=0 and u(1)=0
if a=0, and to Robin boundary condition
u(0)=0 and u'(1)=0
if a=1 and b tends to 1.

All interested are invited to attend.

Enquires to Min-Chun Hong on 3346 9036 or hong@maths.uq.edu.au