| FIXED POINTS OF INCREASING OPERATORS IN ORDERED SPACE WITH APPLICATIONS |
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| 引用本文： | 杨光崇. FIXED POINTS OF INCREASING OPERATORS IN ORDERED SPACE WITH APPLICATIONS[J]. 应用数学和力学(英文版), 2002, 23(3): 341-349. DOI: 10.1007/BF02438341 |
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| 作者姓名： | 杨光崇 |
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| 作者单位： | YANG Guang-chong (Department of Basic Computation Science，Chengdu University of Information Technology，Chengdu 610041，P R China) (Communicated by DING Xie-ping) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｖｅｓｔｉｇａｔｉｎｇｔｈｅｆｏｌｌｏｗｉｎｇｂｏｕｎｄａｒｙｐｒｏｂｌｅｍｉｎｏｒｄｉｎａｒｙｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ :¨ｘ+ｆ(ｔ,ｘ(ｔ) ) =0 ,ａ<ｔ<ｂ,αｘ(ａ) -β ｘ(ａ) =0 ,γｘ(ｂ) +δ ｘ(ｂ) =0 ,( 1 )ｗｈｅｒｅα ,β,γ ,δ≥ 0 ,Δ=(ｂ-ａ)αγ+αδ+ βγ>0 .ｆ(ｔ,ｓ)ｍａｙｂｅｓｉｎｇｕｌａｒｉｎｔ =ａ ,ｂ.Ｉｔｈａｓｂｅｅｎｄｉｒｅｃｔｌｙｖｅｒｉｆｉｅｄｔｈａｔｘ(ｔ)ｉｓｔｈｅｓｏｌｕｔｉｏｎｏｆ( 1 )ｉｎＣ2 [ａ ,ｂ]ｉｆａｎｄｏｎｌｙｉｆｘ(…
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| 收稿时间： | 2001-01-20 |
Fixed points of increasing operators in ordered space with applications |
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| Yang Guang-chong Associate Professor. Fixed points of increasing operators in ordered space with applications[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(3): 341-349. DOI: 10.1007/BF02438341 |
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| Authors: | Yang Guang-chong Associate Professor |
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| Affiliation: | Department of Basic Computation Science, Chengdu University of Information Technology, Chengdu 610041, P R China |
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| Abstract: | The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity, compactness, convexity and concavity. |
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| Keywords: | ordered space supremum and infimum increasing operator and fixed point singular boundary problem |
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