Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations | Zendy

Ling Liu | Zendy; Yongkun Li | Zendy

Open Access

Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations

Author(s) -

Ling Liu,

Yongkun Li

Publication year - 2011

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2011.31.1.61

Subject(s) - mathematics , uniqueness , class (philosophy) , nonlinear system , order (exchange) , mathematical analysis , differential equation , pure mathematics , physics , finance , quantum mechanics , artificial intelligence , computer science , economics

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))).\

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research