Existence and Comparison Results for First Order Periodic Implicit Difference Equations with Maxima
Articles > Article · 2002
Authors: F. Merdivenci Atici, Alberto Cabada, Juan B. Ferreiro
Journal of Difference Equations and Applications, International, WoS, 2002, vol 8, pp 357-370
Summary
In this paper, we establish comparison results (maximum principles) which allow us to use the monotone method and the method of upper and lower solutions in order to build convergent sequences to the solutions of difference equations of the type j u k = f k , u k +1 , max l ] { k m h +1,…, k +1} u l , k ] I , u 0 = u T , with j u k = u k +1 m u k , I ={0,1,…, T m 1} and f ] C ( I 2 R 2 R , R ).