Geodesic
A nonlocal mixed semilinear problem for second-order hyperbolic equations
Electronic journal of differential equations, Tome 2003 (2003)
In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.
Classification : 35L20, 35L67
Keywords: semilinear hyperbolic equation, integral condition, strong solution, existnece, uniqueness, blow up, decay 
@article{EJDE_2003__2003__a77,
     author = {Mesloub,  Said and Messaoudi,  Salim A.},
     title = {A nonlocal mixed semilinear problem for second-order hyperbolic equations},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1012.35007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a77/}
}
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%A Messaoudi,  Salim A.
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Mesloub,  Said; Messaoudi,  Salim A. A nonlocal mixed semilinear problem for second-order hyperbolic equations. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a77/