| 一类具有非齐次边界条件的迁移方程的适应性及谱特征 |
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| 引用本文： | 张显文 梁本中. 一类具有非齐次边界条件的迁移方程的适应性及谱特征[J]. 信阳师范学院学报(自然科学版), 1993, 6(4): 359-365 |
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| 作者姓名： | 张显文 梁本中 |
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| 作者单位： | 信阳师院数学系 464000(张显文)，信阳师院数学系 464000(梁本中) |
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| 基金项目： | 河南省科委自然科学基金 |
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| 摘 要： | 本文讨论了一类具有一般边界条件的中子迁移方程的适定性.利用Banach空间的锥理论和积分半群理论证明了该方程的具有物理意义的正解的存在唯一性,并且,我们还讨论了相应的迁移算子的本征值的一系列性质.
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| 关 键 词： | 迁移方程 积分半群 边界条件 |
Well-posedness and Spectrum Property for a Class of Neutron Transport Equation With Inhomogenecus Bondary Gonditions |
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| Zhang Xianwen Liang Benzhong. Well-posedness and Spectrum Property for a Class of Neutron Transport Equation With Inhomogenecus Bondary Gonditions[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1993, 6(4): 359-365 |
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| Authors: | Zhang Xianwen Liang Benzhong |
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| Affiliation: | Dept of Math Xinyang Teachers College |
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| Abstract: | In this paper,the well-posedness for a class of neutron transport equation with general boundary conditions is discussed. The existence and uniqueness of the positive solution for the equation is proved by means of the positive cone theory and integrated semigrorp theory in Banach spaces. Besides,a series of properties of the eigenvalues for the transport operator is also discussed. |
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| Keywords: | Neutron transport equation Transport operator Positive operator Eigen-value Integrated semigroup |
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