On the existence of solutions for a class of second-order differential inclusions and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:385

Article

Nguyen Van Loi²  Obukhovskii, Valeri¹ 

[1] Voronezh State Univ, Fac Math, Voronezh 394006, Russia

[2] Bac Ha Int Univ, Fac Informat & Commun Technol, Hanoi, Vietnam

关键词: Second-order differential inclusion;    Partial differential inclusion;    Boundary value problem;    Guiding function;    Feedback control system;    Schrondinger equations;   

DOI  :  10.1016/j.jmaa.2011.06.069

来源: Elsevier

【 摘 要 】

In this paper, by extending the method of guiding functions, we give sufficient conditions for the existence of solutions to the problem u '' is an element of Q(u), u(0) = u(1) = 0, (1.1) where Q is a multivalued map whose values are not necessarily convex. It is shown how abstract results can be applied to study feedback control systems and to describe a motion of a particle in a 1-D potential. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free