Geodesic
Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative
Electronic journal of differential equations, Tome 2000 (2000)
We present sufficient conditions for the existence of solutions to Neumann and periodic boundary-value problems for some class of quasilinear ordinary differential equations. We also show that this condition is necessary for certain nonlinearities. Our results involve the p-Laplacian, the mean-curvature operator and nonlinearities blowing up.
Classification : 34B15, 47H12
Keywords: p-Laplacian, Leray-Schauder degree, landesmann-lazer condition 
@article{EJDE_2000__2000__a91,
     author = {Girg,  Petr},
     title = {Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0974.34018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a91/}
}
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Girg,  Petr. Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a91/