The author studied the existence of positive solutions of the delay logistic difference equation Δ y n=p ny n(1-y τ(n) ), n =0,1,2,.... where { p n } is a sequence of positive real numbers, { τ(n) } is a nondecreas...The author studied the existence of positive solutions of the delay logistic difference equation Δ y n=p ny n(1-y τ(n) ), n =0,1,2,.... where { p n } is a sequence of positive real numbers, { τ(n) } is a nondecreasing sequence of integers, τ(n)<n and lim n →∞ τ(n) =∞. A sufficient condition for the existence of positive solutions of the equation was given.展开更多
基金partially supported by the Natural Science Foundation of Hunan Province(No:2019JJ40354)the Degree and Graduate Education Reform Research Project of Hunan Province(No:2020JGYB031)the Graduate Education and Teaching Reform Research Project of Central South University(No:2020JGB020)
基金partially supported by the Natural Science Foundation of China(No.11871475)the Natural Science Foundation of Hunan Province(No.2019JJ40354)+1 种基金the Degree and Graduate Education Reform Research Project of Hunan Province(No.2020JGYB031)the Graduate Education and Teaching Reform Research Project of Central South University(No.2020JGB020)。
文摘The author studied the existence of positive solutions of the delay logistic difference equation Δ y n=p ny n(1-y τ(n) ), n =0,1,2,.... where { p n } is a sequence of positive real numbers, { τ(n) } is a nondecreasing sequence of integers, τ(n)<n and lim n →∞ τ(n) =∞. A sufficient condition for the existence of positive solutions of the equation was given.