Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems

Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems

碩士 === 國立中正大學 === 應用數學研究所 === 95 === In this thesis, we study the applications of fixed point theorems for solving some boundary value problems. In addition to the famous Schauder and Leray-Schauder theorems, the existence of nonnegative solutions of boundary layer equations arising from the product...

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Main Authors: Hui-Chun Teng, 鄧慧君
Other Authors: Ching-An Wang
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/20774573181071999420
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spelling ndltd-TW-095CCU055070052015-10-13T14:08:36Z http://ndltd.ncl.edu.tw/handle/20774573181071999420 Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems 固定點定理在邊界層問題上的應用 Hui-Chun Teng 鄧慧君 碩士 國立中正大學 應用數學研究所 95 In this thesis, we study the applications of fixed point theorems for solving some boundary value problems. In addition to the famous Schauder and Leray-Schauder theorems, the existence of nonnegative solutions of boundary layer equations arising from the production of silicon rods are again verified by using the Krasnosel’skii fixed point theorem. Our results give more delicate apriori estimate of the obtained solutions. Ching-An Wang 王慶安 2007 學位論文 ; thesis 42 en_US
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language en_US
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description 碩士 === 國立中正大學 === 應用數學研究所 === 95 === In this thesis, we study the applications of fixed point theorems for solving some boundary value problems. In addition to the famous Schauder and Leray-Schauder theorems, the existence of nonnegative solutions of boundary layer equations arising from the production of silicon rods are again verified by using the Krasnosel’skii fixed point theorem. Our results give more delicate apriori estimate of the obtained solutions.
author2 Ching-An Wang
author_facet Ching-An Wang
Hui-Chun Teng
鄧慧君
author Hui-Chun Teng
鄧慧君
spellingShingle Hui-Chun Teng
鄧慧君
Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems
author_sort Hui-Chun Teng
title Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems
title_short Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems
title_full Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems
title_fullStr Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems
title_full_unstemmed Remarks on Application of Fixed Point Theorems to Some Boundary Layer Problems
title_sort remarks on application of fixed point theorems to some boundary layer problems
publishDate 2007
url http://ndltd.ncl.edu.tw/handle/20774573181071999420
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AT dènghuìjūn gùdìngdiǎndìnglǐzàibiānjiècéngwèntíshàngdeyīngyòng
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