TY - JOUR
AU - E. Kengne
PY - 2005/08/25
Y2 - 2024/05/30
TI - On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 57
IS - 8
SE - Short communications
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3671
AB - We investigate the problem of the well-posedness of a boundary-value problem for a system of pseudodifferential equations of arbitrary order with nonlocal conditions. The equation and boundary conditions contain pseudodifferential operators whose symbols are defined and continuous in a certain domain $H ⊂ ℝ_{σ}^m$. A criterion for the existence and uniqueness of solutions and for the continuous dependence of the solution on the boundary function is established.
ER -