Articles with "operator equation" as a keyword



Photo from archive.org

Douglas' + Sebestyén's lemmas = a tool for solving an operator equation problem

Sign Up to like & get
recommendations!
Published in 2020 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.123599

Abstract: Abstract The existence of a positive solution of the equation A X B = C was considered in different settings but only under additional conditions including that of regularity, as well as under certain range… read more here.

Keywords: positive solution; lemmas tool; operator equation; sebesty lemmas ... See more keywords

A Modified Regularization Method for Inverse Problems of Nonhomogeneous Differential Operator Equation

Sign Up to like & get
recommendations!
Published in 2025 at "Journal of Mathematics"

DOI: 10.1155/jom/2641676

Abstract: This paper investigates an abstract nonhomogeneous backward Cauchy problem governed by an unbounded linear operator in a Hilbert space H. The coefficient operator in the equation is assumed to be unbounded, self‐adjoint, positive, and to… read more here.

Keywords: equation; method; problem; operator equation ... See more keywords