... the stability of periodic solutions of first order difference equations lying between lower and upper solutions, J.Comput. Appl. Math. 176 (2005), no. 1, 45–57.[4] E.N.Dancer ,Upper and lower stability ... = 0forallξ ∈ V¯ξ. STABILITY OF PERIODIC SOLUTIONS OF FIRST-ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER SOLUTIONS ALBERTO CABADA, VICTORIA OTERO-ESPINAR, AND DOLORES RODR´IGUEZ-VIVEROReceived ... solutions of this problem, it is not asymptotically stablefrom above.Note that α ≡− 1and ≡ 2 is a pair of lower and upper solutions that are no solutions of this problem and conditions (H )and( Hf)holdin[α,β]forN...