ABSTRACT
The property of the continuous dependence of the trajectories of the differential inclusion with a measurable pseudo-Lipschitz unbounded right-hand side on the initial approximations in Euclidean space is proved. This property is an important part of the direct method of obtaining the necessary optimality conditions in the extremal problems with constraints in the form of a differential inclusion.
Acknowledgments
The author is grateful to the anonymous referee for his/her valuable suggestions and remarks that allowed me to improve the original presentation.
Disclosure statement
No potential conflict of interest was reported by the author.