TY - JOUR
AU - B. I. Ptashnik
AU - I. R. Tymkiv
PY - 2013/03/25
Y2 - 2023/09/24
TI - Multipoint Problem for <i>B</i>-Parabolic Equations
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 65
IS - 3
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2428
AB - We establish conditions for the well-posedness of a problem for one class of parabolic equations with the Bessel operator in one of the space variables in a bounded domain with multipoint conditions in the time variable and some boundary conditions in the space coordinates. A solution of the problem is constructed in the form of a series in a system of orthogonalfunctions. We prove a metric theorem on lower bounds for the small denominators appearing in the solution of the problem.
ER -