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Positive Solutions to a Class of Second-Order Nonlinear Dirichlet Problems with Time Singularity 一类具有时间奇点的二阶非线性Dirichlet问题的正解
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00008
Y. Qing-liu
{"title":"Positive Solutions to a Class of Second-Order Nonlinear Dirichlet Problems with Time Singularity","authors":"Y. Qing-liu","doi":"10.3724/SP.J.1160.2012.00008","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00008","url":null,"abstract":"Three local existence theorems are established for a second-order nonlinear Dirichlet problem with time singularity by using Hammastein integral equation and fixed point theorem on cone.Main results show that the problem has n positive solutions provided the heights of principal part of nonlinear term on some bounded sets are appropriate,where n is an arbitrary positive integer.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"8"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher-Order Scalarization Theorems for Strictly Efficient Solutions of Set-Valued Optimization Problems 集值优化问题严格有效解的高阶标量化定理
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00395
He Lijuan, Wang Qi-lin
{"title":"Higher-Order Scalarization Theorems for Strictly Efficient Solutions of Set-Valued Optimization Problems","authors":"He Lijuan, Wang Qi-lin","doi":"10.3724/SP.J.1160.2012.00395","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00395","url":null,"abstract":"In this paper,higher-order derivatives type scalarization theorems are discussed for strictly efficient solutions of set-valued optimization problems.Firstly,we obtain a generalized higherorder derivatives type necessary optimality condition for strictly efficient solutions of a set-valued optimization problem.Secondly,scalarization necessary conditions and sufficient conditions are derived for strictly efficient solutions of set-valued optimization problems by employing generalized higher-order epiderivatives.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"395"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of Multiple Positive Solutions for Singular Semipositone Boundary Value Problem of Impulsive Differential Equations with the First Derivative in the Nonlinear Term 非线性项一阶脉冲微分方程奇异半正子边值问题多个正解的存在性
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00298
Min Huang, Huiqin Lu
{"title":"Existence of Multiple Positive Solutions for Singular Semipositone Boundary Value Problem of Impulsive Differential Equations with the First Derivative in the Nonlinear Term","authors":"Min Huang, Huiqin Lu","doi":"10.3724/SP.J.1160.2012.00298","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00298","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"43 1","pages":"298"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Representation ofA-function by Weyl Function m 用Weyl函数表示a函数
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00239
Li Li, Zhen-you Huang
{"title":"The Representation ofA-function by Weyl Function m","authors":"Li Li, Zhen-you Huang","doi":"10.3724/SP.J.1160.2012.00239","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00239","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"239"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of Positive Solution to m-point Boundary Value Problem of Nonlinear Fractional Differential Equations 非线性分数阶微分方程m点边值问题正解的存在性
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00274
Yuansheng Tian
{"title":"Existence of Positive Solution to m-point Boundary Value Problem of Nonlinear Fractional Differential Equations","authors":"Yuansheng Tian","doi":"10.3724/SP.J.1160.2012.00274","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00274","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"274"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
KKM Theorems in GFC-Spaces and the Application to the System of General Quasiequilibrium Problems gfc -空间中的KKM定理及其在一般拟平衡问题系统中的应用
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00292
Wen Kai-ting
{"title":"KKM Theorems in GFC-Spaces and the Application to the System of General Quasiequilibrium Problems","authors":"Wen Kai-ting","doi":"10.3724/SP.J.1160.2012.00292","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00292","url":null,"abstract":"In this paper,new KKM theorems and a Browder type fixed point theorem are established for GFC-spaces.As applications,equilibrium existence theorems for the system of general quasiequilibrium problems and the system of quasiequilibrium problems are obtained in GFC-spaces.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"292"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Theorems of Solvability for a Class of g-Comparable Operator Equations 一类g可比算子方程的可解性定理
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00338
Jiandong Yin, Ting Guo
{"title":"Some Theorems of Solvability for a Class of g-Comparable Operator Equations","authors":"Jiandong Yin, Ting Guo","doi":"10.3724/SP.J.1160.2012.00338","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00338","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"338"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems 非自治二阶哈密顿系统的周期解
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00071
D. Hou, Shumei Zhang, Juan Hu
{"title":"Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems","authors":"D. Hou, Shumei Zhang, Juan Hu","doi":"10.3724/SP.J.1160.2012.00071","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00071","url":null,"abstract":"By making use of the least action principle and the minimax methods,we study the existence of periodic solutions for some non-autonomous second order Hamiltonian systems in the cases of the sublinear growth and linear growth.Some new solvability conditions are obtained.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"71"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Random Uniform Convexity 关于随机一致凸性
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00023
Zeng Xiao-lin
{"title":"On Random Uniform Convexity","authors":"Zeng Xiao-lin","doi":"10.3724/SP.J.1160.2012.00023","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00023","url":null,"abstract":"The paper is devoted to a further discussion about the notion of random uniform convexity.First,we point out that modulus of random convexity is well defined for an arbitrary random normed module via a special stratification partition.Consequently,many known results in recent literature are improved.Then a new property closely related to random uniform convexity is proposed and studied,which elucidates the complication of random uniform convexity from a new angle.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"23"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Some Fixed Point Theorems in Metric Spaces and Cone Metric Spaces 度量空间和锥度量空间中的不动点定理
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/sp.j.1160.2012.00219
Rong Zhen
{"title":"Some Fixed Point Theorems in Metric Spaces and Cone Metric Spaces","authors":"Rong Zhen","doi":"10.3724/sp.j.1160.2012.00219","DOIUrl":"https://doi.org/10.3724/sp.j.1160.2012.00219","url":null,"abstract":"In this paper,some fixed point theorems in metric spaces and cone metric spaces are established.Prom these,we unified and generalized some classic fixed point theorems in metric spaces and cone metric spaces.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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