@Article{Liu2011, author = "Liu, Ling and Li, Yongkun", title = "Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations", journal = "Opuscula Math.", year = "2011", volume = "31", number = "1", pages = "61--74", doi = "http://dx.doi.org/10.7494/OpMath.2011.31.1.61", url = "http://dx.doi.org/10.7494/OpMath.2011.31.1.61", abstract = "In this paper, we use the method of coincide degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear \(n\)-th order functional differential equations of the form \[x^{(n)}(t)=F(t, x_t, x^{(n-1)}_t, x(t), x^{(n-1)}(t), x(t-\tau(t)), x^{(n-1)}(t-\sigma(t))).\]", keywords = "anti-periodic solution, coincidence degree, nonlinear \(n\)-th-order equation, delay", issn = "1232-9274" }