$l_p$-Solutions of One Difference Equation in a Banach Space

  • M. F. Gorodnii

Abstract

We establish a criterion for the existence and uniqueness of solutions of a linear difference equation with an unbounded operator coefficient belonging to the space $l_p(B)$ of sequences of elements of a Banach space $B$.
Published
25.03.2003
How to Cite
GorodniiM. F. “$l_p$-Solutions of One Difference Equation in a Banach Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 3, Mar. 2003, pp. 425-30, https://umj.imath.kiev.ua/index.php/umj/article/view/3916.
Section
Short communications