Geodesic
Positive periodic solutions for third-order nonlinear differential equations
Electronic journal of differential equations, Tome 2011 (2011)
For several classes of third-order constant coefficient linear differential equations we obtain existence and uniqueness of periodic solutions utilizing explicit Green's functions. We discuss an iteration method for constant coefficient nonlinear differential equations and provide new conditions for the existence of periodic positive solutions for third-order time-varying nonlinear and neutral differential equations.
Classification : 34B18, 34B27, 35B10
Keywords: Green's function, positive periodic solution, third-order differential equation 
@article{EJDE_2011__2011__a87,
     author = {Ren,  Jingli and Siegmund,  Stefan and Chen,  Yueli},
     title = {Positive periodic solutions for third-order nonlinear differential equations},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1364.34060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a87/}
}
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AU  - Chen,  Yueli
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Ren,  Jingli; Siegmund,  Stefan; Chen,  Yueli. Positive periodic solutions for third-order nonlinear differential equations. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a87/