2019
Том 71
№ 11

# Classification of nonlocal boundary-value problems on a narrow strip

Abstract

For a general linear partial differential equation with constant coefficients, we establish a well-posedness criterion for a boundary-value problem on a strip $Π_y = ℝ × [0,Y]$ with an integral in a boundary condition. A complete classification of such problems based on their asymptotic properties as $Y → 0$ is obtained.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 352-361.

Citation Example: Borok V. M., Kengne E. Classification of nonlocal boundary-value problems on a narrow strip // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 338–346.

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