Nonlocal quasilinear damped differential inclusions
Electronic journal of differential equations, Tome 2002 (2002)
Zbl   EuDML
In this paper we investigate the existence of mild solutions to second order initial value problems for a class of damped differential inclusions with nonlocal conditions. By using suitable fixed point theorems, we study the case when the multivalued map has convex and nonconvex values.
Classification : 34A60, 34G20, 35R10, 47D03
Keywords: initial value problems, multivalued map, damped equations, mild solution, evolution inclusion, nonlocal condition, fixed point
Benchohra,  Mouffak; Gatsori,  Efrosini P.; Ntouyas,  Sotiris K. Nonlocal quasilinear damped differential inclusions. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a83/
@article{EJDE_2002__2002__a83,
     author = {Benchohra,  Mouffak and Gatsori,  Efrosini P. and Ntouyas,  Sotiris K.},
     title = {Nonlocal quasilinear damped differential inclusions},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1003.34012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a83/}
}
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