Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 103, pp. 1-11.

Title: On non-absolute functional Volterra integral equations
       and impulsive differential equations in ordered Banach spaces
  
Authors: Seppo Heikkila (Univ. of Oulu, Finland)
         Seppo Seikkala (Univ. of Oulu, Finland)
 
Abstract: 
 In this article we derive existence and comparison results for
 discontinuous non-absolute functional integral equations of
 Volterra type in an ordered Banach space which has a regular order cone.
 The obtained results are then applied to first-order impulsive
 differential equations.
 
Submitted April 24, 2008. Published August 06, 2008.
Math Subject Classifications: 26A39, 28B15, 34G20, 34K45, 45N05, 46E40, 47H07.
Key Words: HL integrability; Bochner integrability; ordered Banach space;
           dominated convergence; monotone convergence; integral equation;
           boundary value problem