CAJ | 학술논문

研究了一类分数阶差分方程解的吸引性.首先给出该问题的解的表达式,将该问题转化为一个算子的不动点问题.其次利用Schauder不动点定理,证明了解的存在性,并建立了该差分方程具有吸引性的充分性条件.最后将主要结果推广到中立型分数阶差分方程上.
연구료일류분수계차분방정해적흡인성.수선급출해문제적해적표체식,장해문제전화위일개산자적불동점문제.기차이용Schauder불동점정리,증명료해적존재성,병건립료해차분방정구유흡인성적충분성조건.최후장주요결과추엄도중립형분수계차분방정상.
We study attractivity of a class Of fractional difference equations. Firstly we give a expression of the solution of fractional difference equations. And, this solution is converted into a discussion about fixed points {or a operator. Secondly, we prove existence of solutions by using Schauder fixed point theorem. And we establish the suffi-cient conditions that proves attractivity of fractional order difference equations. Finally, the main results are extended to fractional neutral difference equtions.