TY  - JOUR
ID  - Liu2011
LB  - Liu2011
AU  - Liu, Ling
AU  - Li, Yongkun
TI  - Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations
ST  - Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 1
SP  - 61
EP  - 74
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.1.61
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.1.61
AB  - 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 \[x^{(n)}(t)=F(t, x_t, x^{(n-1)}_t, x(t), x^{(n-1)}(t), x(t-\tau(t)), x^{(n-1)}(t-\sigma(t))).\]
KW  - anti-periodic solution
KW  - coincidence degree
KW  - nonlinear \(n\)-th-order equation
KW  - delay
SN  - 1232-9274
ER  -