数学物理学报 ›› 2014, Vol. 34 ›› Issue (6): 1465-1473.

• 论文 • 上一篇    下一篇

一类非线性弱奇性Wendroff型积分不等式

吴宇1|唐敏2|周察金3   

  1. 1.宜宾学院数学研究所 四川 宜宾 644000|2.西南民族大学预科教育学院 |成都 |610041|3.成都职业技术学院 成都 |610041
  • 收稿日期:2013-04-16 修回日期:2014-06-27 出版日期:2014-12-25 发布日期:2014-12-25
  • 基金资助:

    四川省教育厅重点项目(10ZA173)和宜宾学院自然科学重点项目(2012S10)资助

A New Weakly Singular Wendroff Integral Inequalities

 WU Yu1, TANG Min2, ZHOU Cha-Jin3   

  1. 1.Institution of Mathematical Science, Yibin University, Sichuan Yibin 644000;
    2.School of preparatory education, Southwest University for Nationalities, |Chengdu 610041;
    3.Chengdu Vocational &|Technical College, Chengdu 610041
  • Received:2013-04-16 Revised:2014-06-27 Online:2014-12-25 Published:2014-12-25
  • Supported by:

    四川省教育厅重点项目(10ZA173)和宜宾学院自然科学重点项目(2012S10)资助

摘要:

在参数更广的分布下, 讨论了一类含有两项非线性项的弱奇性Wendroff型积分不等式解的估计,所得结果推广了在相应参数不同的分布下已有的相关结果且结果更简洁、更具一般性, 并将结果应用到研究微分方程解的有界性中.

关键词: 非线性, 弱奇异积分不等式,  解的估计,  两个变量

Abstract:

Under a more general parameter distribution, estimates on solutions of a new weakly singular Wendroff integral inequality with two nonlinear terms are discussed. Our results are more concise and also generalize some existing results with different distribution of the parameters. An application example to estimate the bounds of solutions of a differential equation is also given.

Key words: Weakly singular integral inequality, Estimate on solutions,  Two variables

中图分类号: 

  • 26D10