Journal of Applied Mathematics and Stochastic Analysis
Volume 7 (1994), Issue 4, Pages 487-507
doi:10.1155/S1048953394000389
Existence principles for second order nonresonant boundary value problems
University College Galway, Department of Mathematics, Galway, Ireland
Received 1 December 1993; Revised 1 April 1994
Copyright © 1994 Donal O'Regan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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).