Abstract By coincidence degree, the existence of solution to the periodic boundary value problem of functional differential equations with perturbation (t)=b(t,x t)+G(t,x t),\ 0≤t≤T, x(0)=x(T). is proved, where ...Abstract By coincidence degree, the existence of solution to the periodic boundary value problem of functional differential equations with perturbation (t)=b(t,x t)+G(t,x t),\ 0≤t≤T, x(0)=x(T). is proved, where x(t) ∈R n,x t∈BC(R,R n) are given by x t(s)=x(t+s), b and G are continuous mappings from ×BC (R,R n ) into R n and take bounded sets into bounded sets, b(t,φ) is linear with respect to φ∈BC (R,R n ). Furthermore, a similar result to the periodic boundary value problem of functional differential equations with infinite delay is established.展开更多
文摘Abstract By coincidence degree, the existence of solution to the periodic boundary value problem of functional differential equations with perturbation (t)=b(t,x t)+G(t,x t),\ 0≤t≤T, x(0)=x(T). is proved, where x(t) ∈R n,x t∈BC(R,R n) are given by x t(s)=x(t+s), b and G are continuous mappings from ×BC (R,R n ) into R n and take bounded sets into bounded sets, b(t,φ) is linear with respect to φ∈BC (R,R n ). Furthermore, a similar result to the periodic boundary value problem of functional differential equations with infinite delay is established.
