Some integral inequalities on time scales

In this paper, some new integral inequalities on time scales are presented by using elementarily analytic methods in calculus of time scales.Comment: 8 page

Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric

We analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $\sigma$-semi-Hyers-Ulam and Hyers-Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. Those sufficient conditions are obtained based on the use of fixed point arguments within the framework of the Bielecki metric and its generalizations. The results are illustrated by concrete examples

Study of a perturbed boundary optimal control system

AbstractThis article deals with the study of the existence and behaviour of the optimal control and the state of a perturbed boundary control linear system when the space of admissible controls has finite dimension