Classification of nonlocal boundary-value problems on a narrow strip
For a general linear partial differential equation with constant coefficients, we establish a well-posedness criterion for a boundary-value problem on a strip ?y=? × [0,Y] with an integral in a boundary condition. A complete classification of such problems based on their asymptotic properties asY ? 0 is obtained.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 352-361.
Citation Example: Borok V. M. Classification of nonlocal boundary-value problems on a narrow strip // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 338–346.