SBS方程有界解的研究
PDF下载 (408)赵 虹,肖海滨 *.SBS方程有界解的研究[J].宁波大学学报(理工版),2013,26(02):114-116.DOI:
ZHAO Hong,XIAO Hai-bin *.A Bit Description of Bounded Solutions to the SBS Equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(02):114-116.DOI:
| Title: | A Bit Description of Bounded Solutions to the SBS Equation |
| 作者: | 赵 虹, 肖海滨 * |
| Author(s): | ZHAO Hong, XIAO Hai-bin * |
| 关键词: | SBS方程; 参数; 有界解; 极限 |
| Keywords: | SBS equation; parameters; bounded solutions; limit |
| 分类号: | O193 |
| 文献标识码: | A |
| 摘要: | 对于SBS方程(双稳态方程) , 当参数 时, 若该方程的1个解在 上有界, 且在该范围内, 定号, 那么此解有1个无限数量的极值. 文中仅对参数 的范围进行了改变, 将SBS方程解的极值控制在了3个常数上, 由此得到了一个更精确的结论, 并同时给出相应的证明. |
| Abstract: | For the SBS equations (bistable equation) , when the parameters , and one of the equation’s solution is bounded on , and in this range, is definite. As a result, the solution has an infinite number of extremes. In this paper, on the condition that only the range of parameters change, the SBS equations in the extreme can be controlled in three constants. From the proposed solution, a more accurate result can be obtained. |
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| 备注/Memo: | 收稿日期: 2012－11－07. 第一作者: 赵 虹（1989－）, 女, 湖北黄冈人, 在读硕士研究生, 主要研究方向: 微分动力系统. E-mail: fengjiezhaohong@163.com *通信作者: 肖海滨（1973－）, 男, 江西南康人, 副教授, 主要研究方向: 微分动力系统. E-mail: xiaohaibin@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
