Two-point boundary value problems of undamped uncertain dynamical systems

Authors:
Minghao Chen;Yongqiang Fu;Xiaoping Xue;Congxin Wu
Affiliations:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

In this paper we study two-point boundary value problems of a class of uncertain dynamical systems, i.e., undamped uncertain dynamical systems. We introduce the concept of large solutions and small solutions for two-point boundary value problems of undamped uncertain dynamical systems, and under some conditions establish the existence and uniqueness of large solutions and small solutions and settle the relationship between large solutions and small solutions.