| 一类带积分边界条件的迁移方程的逆问题 |
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| 引用本文： | 高峰.一类带积分边界条件的迁移方程的逆问题[J].系统科学与数学,1992,12(1):041-047. |
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| 作者姓名： | 高峰 |
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| 作者单位： | 南方冶金学院 江西赣州341000 |
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| 摘 要： | 迁移理论中出现的一类积-微分方程逆问题的讨论起源于70年代,至今已取得了较大的进展.在零边界条件下,对于具非均匀介质板几何迁移模型中的逆问题,L(?)utho-ser 和龚东赓分别从物理和数学的角度作了较为系统的研究.然而,实际问题中除零边界外,还大量存在着种种非零边界的情形.因此,对非零边界条件下的这类方程逆问题
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THE INVERSE PROBLEM OF A CLASS OF TRANSPORT EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS |
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| GAO FENG.THE INVERSE PROBLEM OF A CLASS OF TRANSPORT EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS[J].Journal of Systems Science and Mathematical Sciences,1992,12(1):041-047. |
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| Authors: | GAO FENG |
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| Institution: | The South Institute of Metallurgy,Ganzhou,Jiangxi 341000 |
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| Abstract: | In this paper,the inverse problem of a class of integro-differential equations with integralboundary conditions,which arises in transport theory is discussed.The existence,uniquenessand the w~*-stability of the solution of the problem are proved,and the representation formulaof the solution is given by means of eigenfunctions. |
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