On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators

  • E. Kengne

Abstract

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.
Published
25.08.2005
How to Cite
KengneE. “On the Well-Posedness of a Two-Point Boundary-Value Problem for a System With Pseudodifferential Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 8, Aug. 2005, pp. 1131 -, https://umj.imath.kiev.ua/index.php/umj/article/view/3671.
Section
Short communications