Pulkina, L. S. A non-local problem with integral conditions for hyperbolic equations. (English) Zbl 0935.35027 Electron. J. Differ. Equ. 1999, Paper No. 45, 6 p. (1999). 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. Cited in 50 Documents MSC: 35D05 Existence of generalized solutions of PDE (MSC2000) 35L10 Second-order hyperbolic equations Keywords:generalized solutions; second-order hyperbolic equation with forcing; Riesz representation theorem; Schauder fixed point theorem PDFBibTeX XMLCite \textit{L. S. Pulkina}, Electron. J. Differ. Equ. 1999, Paper No. 45, 6 p. (1999; Zbl 0935.35027) Full Text: EuDML EMIS