We obtain sufficient conditions for the existence of periodic solutions ofthe following second order nonlinear differential equation: ax(t) + bx^(2k-1)(t) + cx^(2k-1)9t) +g(x(t - τ_1), x(t - τ_2)) = p(t) = p(t + 2π...We obtain sufficient conditions for the existence of periodic solutions ofthe following second order nonlinear differential equation: ax(t) + bx^(2k-1)(t) + cx^(2k-1)9t) +g(x(t - τ_1), x(t - τ_2)) = p(t) = p(t + 2π). Our approach is based on the continuation theoremof the coincidence degree, and the priori estimate of periodic solutions.展开更多
文摘We obtain sufficient conditions for the existence of periodic solutions ofthe following second order nonlinear differential equation: ax(t) + bx^(2k-1)(t) + cx^(2k-1)9t) +g(x(t - τ_1), x(t - τ_2)) = p(t) = p(t + 2π). Our approach is based on the continuation theoremof the coincidence degree, and the priori estimate of periodic solutions.