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一个Pachpatte积分微分不等式的推广

Some Inequalities Related to Differential Equation
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摘要 给出了几个微分不等式及其离散形式,推广了一些重要不等式的结果,这些不等式在微分方程、积分方程等的研究中具有重要的作用。 In the study of differential equations, some inequalities play an important role. In this paper, some kinds of inequalities related to differential equation are given.Its discretization version is also obtained. These results generalize some important well-known inequalities.
作者 谢茂森
出处 《达县师范高等专科学校学报》 2004年第5期17-19,共3页 Journal of Daxian Teachers College
关键词 Pachpatte微分不等式 离散不等式 Pachpatte积分不等式 连续函数 inequality differential equation discreterization.
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参考文献5

  • 1[1]L.Ou-Iang,The boundedness and solutions of linear differential equations y″+A(t)y=0[J].Shuxue Jinzhan 3(1957):409~417.
  • 2[2]B.G.Pachpatte,On some new Inequalities Related to Certain Inequalities in the Theory of differential Equations [J].J.Math.Anal.Appl.251(2000):736~751.
  • 3[3]B.G.Pachpatte,On some new Inequalities Related to Certain Inequalities in the Theory of differential Equations[J].Math.Anal.Appl.189(1995):128~144.
  • 4[4]B.G.Pachpatte,On a some integral inequalities similar to Bellman-Bihari inequalities[J].J.Math.Anal.Appl.49(1975):794~802.
  • 5[5]B.G.Phchpatte,An integral inequality of Gronwall-bellman[J].Nell.Soc.Math.Grece 15(1974):7~12.

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