By De-Shuang Huang, Kyungsook Han
This ebook - at the side of the double quantity LNCS 9225-9226 - constitutes the refereed court cases of the eleventh overseas convention on clever Computing, ICIC 2015, held in Fuzhou, China, in August 2015.
The eighty four papers of this quantity have been rigorously reviewed and chosen from 671 submissions. unique contributions on the topic of this topic have been specially solicited, together with theories, methodologies, and purposes in technology and know-how. This 12 months, the convention targeted typically on laptop studying concept and techniques, gentle computing, picture processing and computing device imaginative and prescient, wisdom discovery and information mining, ordinary language processing and computational linguistics, clever regulate and automation, clever communique networks and net purposes, bioinformatics concept and strategies, healthcare and scientific tools, and knowledge security.
Read or Download Advanced Intelligent Computing Theories and Applications: 11th International Conference, ICIC 2015, Fuzhou, China, August 20-23, 2015. Proceedings, Part III PDF
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Extra resources for Advanced Intelligent Computing Theories and Applications: 11th International Conference, ICIC 2015, Fuzhou, China, August 20-23, 2015. Proceedings, Part III
Let 1 b0 2 ð1 À 6ðQÀ1Þ ; 1Þ, so l ¼ kðb0 Þ [ 0 and c ¼ wbe [ 0. This completes the proof of claim 1, Next we continue to prove Theorem 1. 1 Step 1. To choose the auxiliary function gðnÞ ¼ q2 cðnÞ [ 0. from Lemma 1, we 1 know there exists c\0 such that A2 c þ cq2 c ! 0, then qÀ2 A2 c þ cq2 c ! 0; 3 1 1 Lg þ cg ¼ Lðq2 cÞ þ cg ¼ qÀ2 A2 c þ cq2 c ! e. & LgðnÞ þ cgðnÞ ! 0; n 2 X; gðnÞ [ 0; n 2 X: 1 32 Z. Wang and X. Yang Step 2. To construct the function r ¼ ug deﬁned in X, which satisﬁes the following equation & Lr þ 2gÀ1 rL r Á rL g þ ðLg þ cgÞgÀ1 r !
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Hence ðÀ R i b 2i wbe þ R m X i¼1 b i w e Þ2 þ bðb À 1ÞwbÀ2 ðR e m X i¼1 b i wbe ai R i¼1 b 2i we þ R bwbÀ1 e i¼1 m X b i we ; bwbÀ1 ai R e i¼1 therefore m X b i w e Þ2 þ bðb À 1ÞwbÀ2 ðR e i¼1 m X b 2i we ¼ k1 hc À R bwbÀ1 e i¼1 m X b i we : bwbÀ1 ai R e i¼1 From (1) we know m X i¼1 b i we ¼ bwebÀ1 ai R m X i¼1 b bwe2 À1 b b i we Á ai we2 R b m X i¼1 ½2ð1 À bÞ b i we Þ2 webÀ2 ðR 2 m m X X a2 wb a2i b i we Þ2 webÀ2 þ þð2ð1 À bÞÞÀ1 i e ¼ bð1 À bÞð R bwbe 2 4ð1 À bÞ i¼1 i¼1 m X b b i we Þ2 wbÀ2 hc; ¼ bð1 À bÞð R þ e 4ð1 À bÞ i¼1 Maximum Principle in the Unbounded Domain 31 here e ¼ 2ð1 À bÞ: Therefore 1 A2 ðcÞ ¼ m X i¼1 b i we Þ2 þ 1 ð1 þ Q À 2Þhc b 2i we þ bðb À 1ÞwbÀ2 ½bwbÀ1 ðR R e e 2 2 ¼ k1 hc À m X i¼1 !