Geodesic
A three-point boundary-value problem for a hyperbolic equation with a non-local condition
Electronic journal of differential equations, Tome 2002 (2002)
We use an energy method to solve a three-point boundary-value problem for a hyperbolic equation with a Bessel operator and an integral condition. The proof is based on an energy inequality and on the fact that the range of the operator generated is dense.
Classification : 35L20, 35L67, 34B15
Keywords: wave equation, Bessel operator, nonlocal condition 
@article{EJDE_2002__2002__a275,
     author = {Mesloub,  Said and Messaoudi,  Salim A.},
     title = {A three-point boundary-value problem for a hyperbolic equation with a non-local condition},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {0996.35041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a275/}
}
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Mesloub,  Said; Messaoudi,  Salim A. A three-point boundary-value problem for a hyperbolic equation with a non-local condition. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a275/