| 一类含时滞的非线性抛物型方程组的周期解 |
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| 引用本文： | 宿娟,李树勇.一类含时滞的非线性抛物型方程组的周期解[J].四川师范大学学报(自然科学版),2005,28(6):650-654. |
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| 作者姓名： | 宿娟 李树勇 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金(10371083)，四川省应用基础研究基金资助项目 |
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| 摘 要： | 应用上下解及迭代方法研究了一类含时滞的非线性抛物型方程组的周期解,证明了在反应函数与边值函数都是混拟单调的条件下,若方程组存在一对周期上下解,则方程一定存在一对周期拟解,且在一定条件下,周期拟解恰好是方程的周期解.最后以一个生态模型为例,说明了所得结果的意义.
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| 关 键 词： | 时滞 上下解 周期拟解 周期解 |
| 文章编号： | 1001-8395（2005）06-0650-05 |
| 收稿时间： | 2005-02-22 |
| 修稿时间： | 2005年2月22日 |
Periodic Solutions of a Class of Nonlinear Parabolic Systems with Time Delays |
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| SU Juan,LI Shu-yong.Periodic Solutions of a Class of Nonlinear Parabolic Systems with Time Delays[J].Journal of Sichuan Normal University(Natural Science),2005,28(6):650-654. |
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| Authors: | SU Juan LI Shu-yong |
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| Institution: | College of Mathomatics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | Periodic solution of a nonlinear parabolic system with time delays is investigated by using of iteration method and upper and lower solutions.It is shown that if the system has a pair of upper and lower solutions and the reaction function and the boundary function possess the mixed quasimonotone property,then the system has a pair of periodic quasisolutions.Under some additional condition the periodic quasisolutions are exactly the periodic solutions of the parabolic system.An application is given to an ecological model which consists of a coupled system of three reaction-diffusion equation with delays. |
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| Keywords: | Time delays Upper and lower solutions Periodic quasisolutions Periodic solution |
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