Elsevier

Fuzzy Sets and Systems

Volume 159, Issue 16, 16 August 2008, Pages 2077-2089
Fuzzy Sets and Systems

Two-point boundary value problems of undamped uncertain dynamical systems

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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.

References (25)

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This work was supported by the National Natural Science Foundation of China (Grant no. 10776006), the Natural Science Foundation of Heilongjiang Province (A2007-04) and the National 863 Plan (2006 AA 12 Z 305).

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