Geodesic
A non-local problem with integral conditions for hyperbolic equations
Electronic Journal of Differential Equations, Tome 1999 (1999).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 35L99, 35D05
Keywords: non-local problem, generalized solution 
@article{EJDE_1999__1999__a90,
     author = {Pulkina, L.S.},
     title = {A non-local problem with integral conditions for hyperbolic equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a90/}
}
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Pulkina, L.S. A non-local problem with integral conditions for hyperbolic equations. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a90/