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EXISTENCE OF SOLUTIONS OF A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS IN L^2-SPACES 被引量:11
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作者 WeiLi ZhouHaiyun 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第2期175-182,共8页
By using the perturbation results of sums of ranges of accretive mappings of Calvert and Gupta(1978),the abstract results on the existence of solutions of a family of nonlinear boundary value problems in L2(Ω) are st... By using the perturbation results of sums of ranges of accretive mappings of Calvert and Gupta(1978),the abstract results on the existence of solutions of a family of nonlinear boundary value problems in L2(Ω) are studied.The equation discussed in this paper and the methods used here are extension and complement to the corresponding results of Wei Li and He Zhen's previous papers.Especially,some new techniques are used in this paper. 展开更多
关键词 maximal monotone operator accretive mapping hemi-continuous mapping strictly convex space.
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Perturbation of the Moore–Penrose Metric Generalized Inverse in Reflexive Strictly Convex Banach Spaces 被引量:1
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作者 Jian Bing CAO Wan Qin ZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第6期725-735,共11页
Let X, Y be reflexive strictly convex Banach spaces, let T, δT : X → Y be bounded linear operators with closed range R(T). Put T= T + δT. In this paper, by using the concept of quasiadditivity and the so called... Let X, Y be reflexive strictly convex Banach spaces, let T, δT : X → Y be bounded linear operators with closed range R(T). Put T= T + δT. In this paper, by using the concept of quasiadditivity and the so called generalized Neumman lemma, we will give some error estimates of the bounds of ||T^M||. By using a relation between the concepts of the reduced minimum module and the gap of two subspaces, some new existence characterization of the Moore-Penrose metric generalized inverse T^M of the perturbed operator T will be also given. 展开更多
关键词 Metric generalized inverse PERTURBATION reflexive strictly convex Banach space
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