Elsevier

Fuzzy Sets and Systems

Volume 179, Issue 1, 16 September 2011, Pages 50-61
Fuzzy Sets and Systems

Two-point boundary value problems of uncertain dynamical systems

https://doi.org/10.1016/j.fss.2011.05.012Get rights and content

Abstract

Recent research shows that in many cases there are no solutions (periodic solutions, etc.) to fuzzy two-point boundary value problems in the sense of H-derivatives. To overcome the disadvantage of H-derivatives in studying fuzzy two-point boundary value problems, in this paper we study fuzzy two-point boundary value problems in the sense of differential inclusions, i.e., two-point boundary value problems of uncertain dynamical systems. We obtain the existence and uniqueness of solutions and the existence of periodic solutions to two-point boundary value problems of uncertain dynamical systems. After introducing the concept of big solutions to two-point boundary value problems of undamped uncertain dynamical systems, we establish the existence and uniqueness of big solutions, discuss the relationship between solutions and big solutions and further get a conclusion concerning the solutions of two-point boundary value problems of uncertain dynamical systems.

References (13)

There are more references available in the full text version of this article.

Cited by (0)

This work was supported by the National Natural Science Foundation of China (Grant nos. 10776006 and 10971043), RFDP, China (Grant no. 20070213010) and the Program of Excellent Team in Harbin Institute of Technology.

View full text