Geodesic
Existence of solutions to a second order partial differential equation with nonlocal conditions
Electronic journal of differential equations, Tome 2003 (2003)
Using the cosine function theory, we prove the existence of mild and classical solutions for an abstract second-order Cauchy problem with nonlocal conditions.
Classification : 35A05, 34G20, 47D09
Keywords: cosine function, differential equations in abstract spaces, nonlocal condition 
@article{EJDE_2003__2003__a98,
     author = {Hern\'andez M.,  Eduardo},
     title = {Existence of solutions to a second order partial differential equation with nonlocal conditions},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1041.35045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a98/}
}
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Hernández M.,  Eduardo. Existence of solutions to a second order partial differential equation with nonlocal conditions. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a98/