Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 46, pp. 1-15.

Title: Positive solutions for a nonlocal boundary-value problem 
       with vector-valued response
   
Authors: Andrzej Nowakowski (Univ. of Lodz, Poland)
 Aleksandra Orpel (Univ. of Lodz, Poland)
         
Abstract: 
  Using variational methods, we study the existence of positive 
  solutions for a nonlocal boundary-value problem with vector-valued
  response. We develop duality and variational principles for this 
  problem and present a numerical version which enables the 
  approximation of solutions and gives a measure of a duality gap
  between primal and dual functional for approximate solutions
  for this problem.

Submitted February 27, 2002. Published May 28, 2002.
Math Subject Classifications: 34B18.
Key Words: Nonlocal boundary-value problems; positive
           solutions; duality method; variational method.