Báo Cáo Báo cáo hóa học TRICHOTOMY, STABILITY, AND OSCILLATION OF A FUZZY DIFFERENCE EQUATION

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 in recent years. In addition, nowadays, there is an increasing recognition that for understanding vagueness, a fuzzy approach is required.

The effect is the introdution and the study of the fuzzy difference equations (see [3, 4, 13, 14, 15]). In this paper, we study