•  
  •  
 

Turkish Journal of Mathematics

DOI

10.3906/mat-2002-115

Abstract

We study the dynamics of a Neumann boundary value problem arising in fluid dynamics. We prove the nonexistence, existence and uniqueness of positive solutions under suitable conditions. At the same time, under stricter conditions, we also obtain the dynamic properties of the Neumann boundary value problem, such as the stability and instability of positive solutions. The methods of proof mainly involve the upper and lower solutions method, eigenvalue theory and some analysis techniques.

First Page

1871

Last Page

1880

Included in

Mathematics Commons

Share

COinS