| 非线性积分不等式及在微分方程中的应用 |
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| 引用本文： | 吴世旭.非线性积分不等式及在微分方程中的应用[J].四川理工学院学报(自然科学版),2009,22(4):29-31. |
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| 作者姓名： | 吴世旭 |
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| 作者单位： | 四川工程职业技术学院,四川,德阳,618000 |
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| 基金项目： | 四川省教育厅基金资助项目 |
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| 摘 要： | 讨论一类更广泛的非线性积分不等式,和已有文献中的结果相比,文章中的结果不需要函数单调性的限制,从而使得结果有更大的应用范围,并且将结果应用到证明某些偏微分方程的解的有界性。
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| 关 键 词： | 积分不等式 有界性 非线性 |
Nonlinear Integral Inequalities and Applications in Differential Equations |
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| WU Shi-xu.Nonlinear Integral Inequalities and Applications in Differential Equations[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(4):29-31. |
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| Authors: | WU Shi-xu |
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| Institution: | Sichuan Engineering Technical College;Deyang 621010;China |
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| Abstract: | More general nonlinear integral inequalities are discussed in the paper.Compared to the known results,it has not the restriction of monotonicity of nonlinear functions and an example is also presented to show the boundedness of a partial differential equation. |
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| Keywords: | integral inequalities boundedness nonlinear |
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