Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 80, pp. 1-11.

Title: Optimal control problems for impulsive systems with integral 
       boundary conditions
        
Authors: Allaberen Ashyralyev (Fatih Univ., Istanbul, Turkey)
         Yagub A. Sharifov (Baku State Univ., Azerbaijan)

Abstract:
 In this article, the optimal control problem is considered when the
 state of the system is described by the impulsive differential equations
 with integral boundary conditions. Applying the Banach contraction principle
 the existence and uniqueness of the solution is proved for the corresponding
 boundary problem by the fixed admissible control. The first and second
 variation of the functional is calculated. Various necessary conditions of
 optimality of the first and second order are obtained by the help of the
 variation of the controls.

Submitted February 2, 2013. Published March 22, 2013.
Math Subject Classifications: 34B10, 34A37, 34H05.
Key Words: Nonlocal boundary conditions; impulsive systems;
           optimal control problem.