Boundedness and asymptotic behavior of the solutions of a fuzzy difference equation

Trichotomy, stability, and oscillation of a fuzzy difference equation

“…Arguing as in [13,14,15], we can easily prove the following proposition which concerns the existence and the uniqueness of the positive solutions of (1.1). Let x n be a positive solution of (1.1) such that (2.14) hold and the initial values x i , i = −π, −π + 1,...,0, are positive fuzzy numbers which satisfy…”

“…Then from (3.69), (3.71), and arguing as in [13,14,15], we can easily prove that L a ,R a determine a fuzzy number…”

“…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]). …”

Solution of second order linear fuzzy difference equation by Lagrange's multiplier method

“…Papaschinopoulos and Schinas [16] discuss the behavior and solution of some different type of fuzzy difference equations. Papaschinopoulos and Stefanidou [17] give a description on boundedness and asymptotic behavior of the solutions of a fuzzy difference equation. Umekkan et.al.…”

Behavior of the positive solutions of fuzzy max-difference equations

“…The increasing interest in applications of these two scientific fields contributed to the appearance of fuzzy difference equations (see [4,5,10,13,14,15,16]). …”