A non-local problem with integral conditions for hyperbolic equations. (English) Zbl 0935.35027

Summary: A linear second-order hyperbolic equation with forcing and integral constraints on the solution is converted to a non-local hyperbolic problem. Using the Riesz representation theorem and the Schauder fixed point theorem, we prove the existence and uniqueness of a generalized solution.


35D05 Existence of generalized solutions of PDE (MSC2000)
35L10 Second-order hyperbolic equations
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