| 变系数三泛函微分议程的周期解 |
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| 引用本文： | 张正球,王志成. 变系数三泛函微分议程的周期解[J]. 高校应用数学学报(英文版), 2002, 17(2): 145-154. DOI: 10.1007/s11766-002-0038-2 |
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| 作者姓名： | 张正球 王志成 |
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| 作者单位： | Dept.ofAppl.Math.,HunanUniv.,Changsha410082.China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(1 9971 0 2 6 ) |
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| 摘 要： | Abstract. The sufficient condition for the existence of 2π-periodic solutions of the following third-order functional differential equations with variable coefficients a(t)x^m(t) bx^2k-1(t) cx^12k-1(t) ∑↑2k-1i=1cix^i(t) g(x(t-τ))=p(t)=p(t 2π)is obtained. The approach is based on the abstract continuation theorem from Mawhin and the a-priori estimate of periodic solutions.
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| 关 键 词： | 三阶微分方程 系数 周期解 泛函分析 |
Periodic solutions of third-order functional differential equations with variable coefficients |
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| Zhengqiu Zhang,Zhicheng Wang. Periodic solutions of third-order functional differential equations with variable coefficients[J]. Applied Mathematics A Journal of Chinese Universities, 2002, 17(2): 145-154. DOI: 10.1007/s11766-002-0038-2 |
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| Authors: | Zhengqiu Zhang Zhicheng Wang |
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| Affiliation: | (1) Dept. of Appl. Math., Hunan Univ., 410082 Changsha, China |
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| Abstract: | The sufficient condition for the existence of 2π-periodic solutions of the following third-order functional differential equations with variable coefficients is obtained. The approach is based on the abstract continuation theorem from Mawhin and the a-priori estimate of periodic solutions. Supported by the National Natural Science Foundation of China (19971026). |
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| Keywords: | periodic solution abstract continuation theorem a- priori estimate coincidence degree functional differential equation |
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