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二阶非线性微分方程周期解和孤立波的存在性
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O175.13[理学—数学;理学—基础数学]
  • 作者机构：[1]浙江师范大学数理信息与工程学院,金华321004, [2]福州大学数学与计算机学院,福州350002
  • 相关基金：Supported by the National Natural Science Foundation of China under Grant （11271333 and 11171090）; China Postdoctoral Science Foundation （2014M562320）; the Natural Science Foundation of Fujian Province under Grant （2013J01010）; Natural Science Foundation of Zhejiang Province under Grant （LY 15A010007）.
作者： 高敏
关键词： 捕食模型, 避难所, 周期解, predator-prey model, refuge, periodic solution.
中文摘要：

考虑了一类具有避难所的非自治捕食系统, 得到了该模型存在正周期解的新颖充分条件.所使用的方法是把Mawhin重合度理论和算子方程先验界的一些新估计技巧相结合.

英文摘要：

We consider the nonautonomous predator-preymodel with a constant refuge. Some new and interesting sufficient conditions are obtained for the global existence of the positive periodic solutions of such a model. Our method is based on Mawhin’s coincidence degree and novel estimation techniques for the a priori bounds of unknown solutions to Lx = λNx.

同期刊论文项目
非自治微分系统的非一致行为及其稳定性
期刊论文 43
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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
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  • 被引量:4204