Geodesic
Multiplicity and minimality of periodic solutions to delay differential system
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we study periodic solutions of a class of delay differential equations. By restricting our discussion on generalized Nehari Manifold, some sufficient conditions are obtained to guarantee the existence of infinitely many pairs of periodic solutions. Also, there exists at least one periodic solution with prescribed minimal period.
Classification : 34K13, 58E05
Keywords: Nehari manifold, periodic solution, delay differential equation, minimal period 
@article{EJDE_2014__2014__a191,
     author = {Xiao,  Huafeng and Guo,  Zhiming},
     title = {Multiplicity and minimality of periodic solutions to delay differential system},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1370.34126},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a191/}
}
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Xiao,  Huafeng; Guo,  Zhiming. Multiplicity and minimality of periodic solutions to delay differential system. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a191/