TY - JOUR ID - Henderson2010 LB - Henderson2010 AU - Henderson, Johnny AU - Liu, Xueyan AU - Lyons, Jeffrey W. AU - Neugebauer, Jeffrey T. TI - Right focal boundary value problems for difference equations ST - Right focal boundary value problems for difference equations JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2010 VL - 30 IS - 4 SP - 447 EP - 456 DO - http://dx.doi.org/10.7494/OpMath.2010.30.4.447 UR - http://dx.doi.org/10.7494/OpMath.2010.30.4.447 AB - An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete boundary value problem. In the application of the fixed point theorem, neither the entire lower nor entire upper boundary is required to be mapped inward or outward. A nontrivial example is also provided. KW - difference equation KW - boundary value problem KW - right focal KW - fixed point theorem KW - positive solution SN - 1232-9274 ER -