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| 摘要: |
| 利用Mawhin重合度理论及一些分析技巧研究了二阶非线性时滞微分方程的周期解存在的问题：x''(t)+f(t,xt)[x'(t)]n+a(t)x3(t)+b(t)x2(t)+c(t)x(t)=p(t)(n>2)；并给出方程至少存在3个周期性解的充分性定理。 |
| 关键词: 多个周期解 重合度 时滞微分方程 |
| DOI： |
| 分类号: |
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| Existence of Periodic Solutions to a Class of Nonlinear Second-Order Differential Equations with Delays |
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ZHOU Ling,ZHOU Zong-fu
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| Abstract: |
| By using the coincidence degree theory of Mawhin and some analytical skills,this paper studies the existence of periodic solutions to a class of nonlinear second order differential equations with delays as follows,x''(t)+f(t,xt)[x'(t)]n+a(t)x3(t)+b(t)x2(t)+c(t)x(t)=p(t)(n>2),some sufficient theorems for the existence of at least three periodic solutions to this equation are given. |
| Key words: several periodic solutions coincidence degree delayed differential equation |
