2017
Том 69
№ 6

All Issues

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

Kengne E.

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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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 8, pp 1334-1340.

Citation Example: Kengne E. On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators // Ukr. Mat. Zh. - 2005. - 57, № 8. - pp. 1131 – 1136.

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