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非线性常微分方程的解在无穷处的渐近行为
  • ISSN号：1000-5641
  • 期刊名称：《华东师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]维特伯斯克州立大学数学系,白俄罗斯维特伯斯克210038, [2]华东师范大学数学系,上海200241
  • 相关基金：国家自然科基金（11471118,30921064,90820307）;中科院创新项目;上海PMMP重点实验室
作者： SERGEY Prokhozhiy, 倪明康[2]
关键词： 常微分方程, 渐近行为, 非线性, ordinary differential equations, asymptotic behavior, nonlinear
中文摘要：

本文研究了非线性常微分方程v”-c1（v^n）＇-c2v^p=0解的渐近行为.考虑了所有参数间的相互关系.确立了第一渐近项以及在第二渐近项下存在的诸多情形.同时研究了正负值下的柯西问题.

英文摘要：

In this paper we investigate the asymptotic behavior of solutions of the Cauchy problem for nonlinear ordinary differential equation v＂-c1（v^n）＇-c2v^p=0. All interrelations of parameters are considered. The first asymptotic term and in a number of cases the second asymptotic term is found. The Cauchy problem is investigated both for positive and negative values of argument.

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期刊信息
  • 《华东师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:华东师范大学
  • 主编：郑伟安
  • 地址：上海中山北路3663号
  • 邮编：200062
  • 邮箱：xblk@xb.ecnu.edu.cn
  • 电话：021-62233703
  • 国际标准刊号：ISSN：1000-5641
  • 国内统一刊号：ISSN：31-1298/N
  • 邮发代号:4-359
  • 获奖情况:
  • 中国综合性科技类核心期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6600