摘要
We obtain that linear equation x'(t) =p(t) C(t-s)x(s)ds and x(t) = ax(t-h) + p(t)C(t-s)x(s)ds, |a|<1, have unique T-periodic solutions if p(t+ T) = p(t), and C'(t) ≥ 0, where h is a constant. A similar discussion can be given for nonlinear case: x iis replaced by g(x) in their integrands.
We obtain that linear equation x'(t) =p(t) C(t-s)x(s)ds and x(t) = ax(t-h) + p(t)C(t-s)x(s)ds, |a|<1, have unique T-periodic solutions if p(t+ T) = p(t), and C'(t) ≥ 0, where h is a constant. A similar discussion can be given for nonlinear case: x iis replaced by g(x) in their integrands.
