Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 52, pp. 1-9.

Title: Existence and uniqueness of strong solutions
       to nonlinear nonlocal functional differential equations
       
Authors: Shruti Agarwal (Indian Inst. of Technology, Kanpur, India)
 Dhirendra Bahuguna (Indian Inst. of Technology, Kanpur, India)

Abstract: 
  In the present work we consider  a nonlinear nonlocal functional
  differential equations in a real reflexive Banach space.
  We apply the method of lines  to establish the existence and
  uniqueness of a strong solution.  We consider also some
  applications of the abstract results.
  
Submitted October 6, 2003. Published April 8, 2004.
Math Subject Classifications: 34K30, 34G20, 47H06.
Key Words: Nonlocal problem; accretive operator; strong solution; 
           method of lines