| Linear Volterra Integral Equations |
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| 引用本文： | M.Federson,R.Bianconi,L.Barbanti. Linear Volterra Integral Equations[J]. 应用数学学报(英文版), 2002, 18(4): 553-560. DOI: 10.1007/s102550200057 |
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| 作者姓名： | M.Federson R.Bianconi L.Barbanti |
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| 作者单位： | Department of Mathematics，University of Sao Paulo，CP 668，13560-970 SP，Brazil，Department of Mathematics，University of Sao Paulo，CP 66281，05315-970 SP，Brazil，Department of Mathematics，University of Sao Paulo，CP 66281，05315-970 SP，Brazil |
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| 摘 要： | The Kurzweil-Henstock integral formalism is applied to establish the existence of solutions to the linear integral equations of Volterra-typewhere the functions are Banach-space valued. Special theorems on existence of solutions concerning the Lebesgu3 integral setting are obtained. These sharpen earlier results.
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Linear Volterra Integral Equations |
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| M. Federson,R. Bianconi,L. Barbanti. Linear Volterra Integral Equations[J]. Acta Mathematicae Applicatae Sinica, 2002, 18(4): 553-560. DOI: 10.1007/s102550200057 |
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| Authors: | M. Federson R. Bianconi L. Barbanti |
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| Affiliation: | 1. Department of Mathematics, University of S?o Paulo, CP 668, 13560-970 SP, S?o Paulo, Brazil
2. Department of Mathematics, University of S?o Paulo, CP 66281, 05315-970 SP, S?o Paulo, Brazil
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| Abstract: | The Kurzweil-Henstock integral formalism is applied to establish the existence of solutions to the linear integral equations of Volterra-typewhere the functions are Banach-space valued. Special theorems on existence of solutions concerning the Lebesgu3 integral setting are obtained. These sharpen earlier results. |
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| Keywords: | Linear Volterra integral equations Kurzweil-Henstock integrals |
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