Anti-periodic solutions for second order differential inclusions
Electronic journal of differential equations, Tome 2004 (2004)
In this paper, we extend the existence results presented in [9] for $L^{p}$ spaces to operator inclusions of Hammerstein type in $W^{1,p}$ spaces. We also show an application of our results to anti-periodic boundary-value problems of second-order differential equations with nonlinearities depending on $u'$.
Classification :
45N05, 47J35, 34G25
Keywords: anti-periodic solution, nonlinear boundary-value problem, dissipative operator, multivalued mapping, fixed point
Keywords: anti-periodic solution, nonlinear boundary-value problem, dissipative operator, multivalued mapping, fixed point
@article{EJDE_2004__2004__a81,
author = {Couchouron, Jean-Francois and Precup, Radu},
title = {Anti-periodic solutions for second order differential inclusions},
journal = {Electronic journal of differential equations},
year = {2004},
volume = {2004},
zbl = {1073.45514},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a81/}
}
Couchouron, Jean-Francois; Precup, Radu. Anti-periodic solutions for second order differential inclusions. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a81/