| Banach空间中的广义Volterra积分方程 |
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| 引用本文： | 胡适耕. Banach空间中的广义Volterra积分方程[J]. 华中科技大学学报(自然科学版), 1994, 0(12) |
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| 作者姓名： | 胡适耕 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 考虑Ｂａｎａｃｈ空间中形如：的广义Ｖｏｌｔｅｒｒａ积分方程，得到了关于此方程的Ｌｐ解的存在性、唯一性及对ｕ的连续依赖性的某些结果。
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| 关 键 词： | 广义Volterra积分方程；压缩映射；Gronwall不等式 |
Generalized Volterra Integral Equations in Banach Space |
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| Hu ShigengDept.of Mathematics,H. U. S.T.,Wuhan ,China.). Generalized Volterra Integral Equations in Banach Space[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1994, 0(12) |
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| Authors: | Hu ShigengDept.of Mathematics H. U. S.T. Wuhan China.) |
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| Affiliation: | Hu ShigengDept.of Mathematics,H. U. S.T.,Wuhan 430074,China.) |
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| Abstract: | The Lp solutions of the generalized VoIterra integral equations in Banach space in theform of ds is studied,where {Gt}is a family of subsets of Gsatisfying certain given conditions,Equations of such a typecontain several particular casesimportant in practice,By introducing a certain equivalent norm and employing the contrac-tion mapping principle,existence and uniqueness results for the solutions of the equation andcertain continuity results concerning the solutions are obtained. |
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| Keywords: | generalized Volterra integral equation contraction mapping Gronwall inequal- ity |
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