Opuscula Math. 31, no. 1 (2011), 61-74
Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations
Ling Liu
Yongkun Li
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.
Mathematics Subject Classification:
34K13.
About the authors ▼
Ling Liu
Yunnan University, Department of Mathematics, Kunming, Yunnan 650091, P.R. China
Yongkun Li
Yunnan University, Department of Mathematics, Kunming, Yunnan 650091, P.R. China
About the article ▼
Received: 2010-04-18.
Revised: 2010-06-03.
Accepted: 2010-06-07.
Cite this article as ▼
Ling Liu, Yongkun Li, Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations, Opuscula Math. 31, no. 1 (2011), 61-74,
http://dx.doi.org/10.7494/OpMath.2011.31.1.61.
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