For a general linear partial differential equation with constant coefficients, we establish a well-posedness criterion for a boundary-value problem on a strip Πy=ℝ × [0,Y] with an integral in a boundary condition. A complete classification of such problems based on their asymptotic properties asY → 0 is obtained.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 338–346, April, 1994.
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Borok, V.M., Kengne, E. Classification of nonlocal boundary-value problems on a narrow strip. Ukr Math J 46, 352–361 (1994). https://doi.org/10.1007/BF01060405
- Boundary Condition
- Differential Equation
- Partial Differential Equation
- Asymptotic Property
- Constant Coefficient