Nontrivial solutions for a class of fractional difference boundary value problems and fixed-point problems  

作　　者：Jiafa XU Wei DONG 

机构地区：[1]School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China [2]Department of Mathematics,Hebei University of Engineering,Handan 056038,China

出　　处：《Frontiers of Mathematics in China》2023年第3期175-185,共11页中国高等学校学术文摘·数学（英文）

摘　　要：In this work,we use the variant fountain theorem to study the existence of nontrivial solutions for the superquadratic fractional difference boundary value problem:{T△^(v)_(t-1)(t△^(v)_(v-1)x(t))=f(x(t+v-1)),t∈[0,T]N_(0),x(v-2)=[tΔ^(v)_(v-1)x(t)]_(t=T=0.The existence of nontrivial solutions is obtained in the case of super quadratic growth of the nonlinear term f by change of fountain theorem.

关 键 词：Fractional difference boundary value problem fountain theorem nontrivial solution 

分 类 号：O17[理学—数学]