A coupled system of boundary value problems

Abstract

In this paper we establish the existence of a pair of nonnegative functions to a coupled system of boundary value problems

Keywords:

• Coupled system
• existence of positive solutions
• Carathédory function
• Sobolev class
• nonlinear alternative

¹Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 0511

²Department of Mathematics, National University of Ireland, Galway, Ireland

¹Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 0511

²Department of Mathematics, National University of Ireland, Galway, Ireland

Notes

¹Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 0511

²Department of Mathematics, National University of Ireland, Galway, Ireland