Geodesic
A non-local problem with integral conditions for hyperbolic equations
Electronic journal of differential equations, Tome 1999 (1999)
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__a41,
     author = {Pulkina,  L.S.},
     title = {A non-local problem with integral conditions for hyperbolic equations},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0935.35027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a41/}
}
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AU  - Pulkina,  L.S.
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JO  - Electronic journal of differential equations
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%A Pulkina,  L.S.
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%J Electronic journal of differential equations
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%F EJDE_1999__1999__a41
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__a41/