Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00008
Y. Qing-liu
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.
{"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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00395
He Lijuan, Wang Qi-lin
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.
{"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}
Pub Date : 2012-01-01DOI: 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}
Pub Date : 2012-01-01DOI: 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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00292
Wen Kai-ting
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.
{"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}
Pub Date : 2012-01-01DOI: 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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00071
D. Hou, Shumei Zhang, Juan Hu
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.
{"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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00023
Zeng Xiao-lin
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.
{"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}
Pub Date : 2012-01-01DOI: 10.3724/sp.j.1160.2012.00219
Rong Zhen
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.
{"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}
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