A Non-Local Problem with Integral Conditions for Hyperbolic Equations
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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.
CitationPulkina, L. S. (1999). A non-local problem with integral conditions for hyperbolic equations. Electronic Journal of Differential Equations, 1999(45), pp. 1-6.
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