2017
Том 69
№ 12

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

Gorodnii M. F.

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 $B$.

Citation Example: Gorodnii M. F. $l_p$-Solutions of One Difference Equation in a Banach Space // Ukr. Mat. Zh. - 2003. - 55, № 3. - pp. 425-430.

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