In the present work 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 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.
Motivation refers to the forces that cause people to behave in certain ways. The students who spend the weekend in the library and the students who cannot wait to get out of class to go to the beach are both motivated, but they have different goals and interests. Of course, motivation is not the only factor in student performance. To perform well, a student must also have the right abilities and resources. Without motivation, however, even the most capable working student with excellent support will accomplish little. Problem Statement Students in today’s high schools feel disconnected from subject matter and the benefits of learning.
In this paper the optimal control problem is considered, when the state of the system is described by the impulsive differential equations with integral boundary conditions. By the help of the Banach contraction principle the existence and uniqueness of solution is proved for the corresponding boundary problem by the fixed admissible control. The first variation of the functional is calculated. Various necessary conditions of optimality of the first order are obtained by the help of the variation of the controls.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.