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
Keywords: cosine function, differential equations in abstract spaces, nonlocal condition
@article{EJDE_2003__2003__a198,
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__a198/}
}
TY - JOUR AU - Hernández M., Eduardo TI - Existence of solutions to a second order partial differential equation with nonlocal conditions JO - Electronic journal of differential equations PY - 2003 VL - 2003 UR - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a198/ LA - en ID - EJDE_2003__2003__a198 ER -
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__a198/