| 一类三阶多时滞p-Laplacian方程周期解的存在性; The Existence of Perodic Solutions for a Class of Third-Order p-Laplacian Equations with Delays | |
| 沈钦锐 ; 程立新 ; 周宗福 | |
| 2013-12-24 | |
| 关键词 | 周期解 偏差变元 重合度 p-Laplacian方程 periodic solution deviating argument coincidence degree p-Laplacian equations |
| 英文摘要 | 利用重合度理论中的延拓定理,研究如下一类三阶P-lAPlACIAn微分方程:(φP((X(T)-CX(T-σ))″))′+f1(X(T))X′(T)+f2(X′(T))X″(T)+g(T,X(T),X(T-τ1(T)),X′(T-τ2(T)))=E(T)的T-周期解问题,得到了上述方程存在T-周期解的若干新结果,所得结论与方程多个变滞量有关.; In this paper,using the continuation theorem of coincidence degree,a type of third order p-Laplacian equation with delays(φp((x(t)-cx(t-σ))″))′+f1(x(t))x′(t)+f2(x′(t))x″(t)+g(t,x(t),x(t-τ1(t)),x′(t-τ2(t)))=e(t)is considered.Some new results for T-periodic solutions to such equation are obtained.The conclusions are related to the equation of multiple bariable delays.; 国家自然科学基金(11071201); 高校博士点专项科研基金(20093401110001)资助项目 |
| 语种 | zh_CN |
| 内容类型 | 期刊论文 |
| 源URL | [http://dspace.xmu.edu.cn/handle/2288/119874]  |
| 专题 | 数学科学－已发表论文 |
| 推荐引用方式 GB/T 7714 | 沈钦锐,程立新,周宗福. 一类三阶多时滞p-Laplacian方程周期解的存在性, The Existence of Perodic Solutions for a Class of Third-Order p-Laplacian Equations with Delays[J],2013. |
| APA | 沈钦锐,程立新,&周宗福.(2013).一类三阶多时滞p-Laplacian方程周期解的存在性.. |
| MLA | 沈钦锐,et al."一类三阶多时滞p-Laplacian方程周期解的存在性".(2013). |
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