In several mathematical models of physical or technical processes there are non-local boundary-value problems in terms of partial differential equations with integral conditions. In this article we consider hyperbolic differential equations of second order in the rectangle with some integral conditions and their relationship to boundary-value problems for some certain type of loaded equations.
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Elena Klimova, Some Non-Local Boundary-Value Problems and their Relationship to Problems for Loaded Equations. Z. Anal. Anwend. 30 (2011), no. 1, pp. 71–81DOI 10.4171/ZAA/1424