On the Continuous Dependence on Parameters of Solutions of the Fourth Order Periodic Problem

We consider the fourth order periodic problem with a functional parameter. Some sufficient conditions under which solutions of this problem continuously depend on parameters are given. Proofs of theorems are based on variational methods. Introduction This paper is devoted to the continuous dependence on functional parameters of solutions of the fourth order periodic problem. Sufficient conditions for the existence of solutions of this problem and their continuous dependence on parameters are presented. The question of the existence and uniqueness of solutions for the periodic problem was considered in many monographs and papers [3], [6], [2]. The problem of the continuous dependence on parameters for scalar equations of second order, was investigated in papers [4], [5]. In the case of the 1991 Mathematics Subject Classification. 34C25, 34B15.