TRICHOTOMY, STABILITY, AND OSCILLATION OF A FUZZY DIFFERENCE EQUATION G. STEFANIDOU AND G.

TRICHOTOMY, STABILITY, AND OSCILLATION OF A FUZZY DIFFERENCE EQUATION G. STEFANIDOU AND G. PAPASCHINOPOULOS Received 10 November 2003 We study the trichotomy character, the stability, and the oscillatory behavior of the positive solutions of a fuzzy difference equation. 1. Introduction Difference equations have already been successfully applied in a number of sciences (for a detailed study of the theory of difference equations and their applications, see [1, 2, 7, 8, 11]. The problem of identifying, modeling, and solving a nonlinear difference equation concerning a real-world phenomenon from experimental input-output data, which is uncertain, incomplete, imprecise, or vague, has been attracting increasing attention...