【摘要】 利用重合度理论获得二阶非线性多时滞泛函微分方程x″(t)+f(t,x(t-τ1(t),x(t-τ2(t))(x′(t))n+g(x(t))x′(t)+a(t)x2(t-τ3(t))+b(t)x(t-τ3(t))=p(t)(n≥2)多个周期解的存在性问题,得到这类方程至少存在两个周期解的结论.更多还原

【Abstract】 The existence of multiple periodic solutions to a second order differential equations with multi-delay functional: x″(t)+f(t,x(t-τ1(t)),x(t-τ2(t))(x′(t))n+g(x(t))x′(t)+a(t)x2(t-τ3(t))+b(t)×x(t-τ3(t))=p(t)(n≥2) was studied with coincidence degree theory and a conclusion was obtained: there would be at least two periodic solutions to this class of equations.更多还原