Geodesic
A~Nonlocal Problem for a~Loaded Hyperbolic Equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 298-303

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A nonlocal problem for a hyperbolic equation is considered with integral conditions defined on a part of the domain. The existence of a unique generalized solution is proved. For this purpose, the problem is reduced to a problem for a loaded equation with homogeneous integral conditions defined on the whole domain. 
@article{TM_2002_236_a29,
     author = {L. S. Pulkina},
     title = {A~Nonlocal {Problem} for {a~Loaded} {Hyperbolic} {Equation}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {298--303},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a29/}
}
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L. S. Pulkina. A~Nonlocal Problem for a~Loaded Hyperbolic Equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 298-303. http://geodesic.mathdoc.fr/item/TM_2002_236_a29/