TY - JOUR
AU - V. Yu. Slyusarchuk
PY - 2020/01/15
Y2 - 2023/12/03
TI - Equations in a Hilbert space whose solution sets are invariant with respect to a group isomorphic to a one-parameter group of unitary operators
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 1
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/687
AB - We construct classes of equations in a Hilbert space whose sets of solution are invariant with respect to a group isomorphic to a one-parameter group of unitary operators. It is shown that the unbounded solutions of these equations are unstable. The applications of the obtained results to nonlinear mechanics are presented.
ER -