Existence principles for second order nonresonant boundary value problems
Donal O'Regan1
Received01 Dec 1993
Revised01 Apr 1994
Abstract
We discuss the two point singular nonresonant boundary value problem
1p(py′)′=f(t,y,py′) a.e. on [0,1] with y satisfying Sturm Liouville, Neumann,
Periodic or Bohr boundary conditions. Here f is an L1-Carathéodory function
and p∈C[0,1]∩C1(0,1) with p>0 on (0,1).