应用泛函分析学报Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2GI2.00245
F. Luo, Lin Yu, Hongping Guo
{"title":"Martingale Rransforms between Hardy-Orlicz Spaces of LΦPredictable Martingales","authors":"F. Luo, Lin Yu, Hongping Guo","doi":"10.3724/SP.J.1160.2GI2.00245","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2GI2.00245","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"245"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69840554","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}
应用泛函分析学报Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00161
Hailong Qiu, R. An
{"title":"Existence of the Solution to Semilinear Biharmonic Equation","authors":"Hailong Qiu, R. An","doi":"10.3724/SP.J.1160.2012.00161","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00161","url":null,"abstract":"A class of semilinear bihaxmonic problem in a bounded convex domainΩR~d,d = 2,3,is considered.The nonlinear termφ(|▽u|) grows with |▽u|~p.In terms of Schaefer's fixed pointtheorem,as d = 2(or d = 3) and p satisfies 2≤p +∞(or 2≤p≤6),the solution exists and islocal uniqueness.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"161"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836619","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}
应用泛函分析学报Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00315
Jingfeng Tian
{"title":"Positive Solutions of Multiple Point Boundary Value Problems for Second-order Impulsive Differential Equations","authors":"Jingfeng Tian","doi":"10.3724/SP.J.1160.2012.00315","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00315","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"315"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837670","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}
应用泛函分析学报Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00061
Qiuping Xing, Qiru Wang, Zhiming Guo
{"title":"Existence of Periodic Solutions to Nonlinear Difference Equations with Delay","authors":"Qiuping Xing, Qiru Wang, Zhiming Guo","doi":"10.3724/SP.J.1160.2012.00061","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00061","url":null,"abstract":"This paper deals with the existence and multiplicity of nontrivial periodic solutions to the first order nonlinear difference equation with delay of the form△x(n)=-f(x(n-T)) By applying the critical point theory,several sufficient conditions are obtained for the periodic solutions to the equation above under the assumption that f satisfies certain growth conditions both at zero and at infinity.Some examples are given to illustrate the feasibility of the main results.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"61"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835801","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}
应用泛函分析学报Pub Date : 2011-02-13DOI: 10.3724/SP.J.1160.2010.00274
Z. Pan, Zhilin Pu, Wei Chen
{"title":"Positive Radial Solutions to an Elliptic Boundary Valued Problem in Exterior Domains of Ball: Positive Radial Solutions to an Elliptic Boundary Valued Problem in Exterior Domains of Ball","authors":"Z. Pan, Zhilin Pu, Wei Chen","doi":"10.3724/SP.J.1160.2010.00274","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2010.00274","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"50 1","pages":"274-278"},"PeriodicalIF":0.0,"publicationDate":"2011-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835730","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}
应用泛函分析学报Pub Date : 2011-02-13DOI: 10.3724/SP.J.1160.2010.00210
Gao-Deh Chang, Zifei Shen, Xiaoli Cheng
{"title":"Existence of Solutions for a Class of Quasilinear Elliptic Variational Inequality: Existence of Solutions for a Class of Quasilinear Elliptic Variational Inequality","authors":"Gao-Deh Chang, Zifei Shen, Xiaoli Cheng","doi":"10.3724/SP.J.1160.2010.00210","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2010.00210","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"12 1","pages":"210-215"},"PeriodicalIF":0.0,"publicationDate":"2011-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69834669","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}
应用泛函分析学报Pub Date : 2011-02-13DOI: 10.3724/SP.J.1160.2010.00234
Chengyue Li
{"title":"Existence and Multiplicity of Nontrivial odd Periodic Solutions of Second order Hamiltonian Systems with Bi-even Subquadratic Potentials: Existence and Multiplicity of Nontrivial odd Periodic Solutions of Second order Hamiltonian Systems with Bi-even Subquadratic Potentials","authors":"Chengyue Li","doi":"10.3724/SP.J.1160.2010.00234","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2010.00234","url":null,"abstract":"Existence and multiplicity of nontrivial odd periodic solutions of second order Hamiltonian systems(x|¨)(t) + V_x(t,x(t)) = 0 with bi-even subquadratic potentials are discussed by Clark Theorem in variational methods.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"12 1","pages":"234-238"},"PeriodicalIF":0.0,"publicationDate":"2011-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835146","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}
应用泛函分析学报Pub Date : 2011-02-13DOI: 10.3724/SP.J.1160.2010.00193
F. Gao, G. Xu
{"title":"Riesz Basis Property and Exponential Stability of Composite Thin-walled Beams Torsion Coupled Effect: Riesz Basis Property and Exponential Stability of Composite Thin-walled Beams Torsion Coupled Effect","authors":"F. Gao, G. Xu","doi":"10.3724/SP.J.1160.2010.00193","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2010.00193","url":null,"abstract":"In this paper we study Riesz basis property and exponential stability of a composite thin wall beam with torsion coupled effect.Firstly we show that the operator determined by the system is of compact resolvent and generates a C_0 group.Second,by the asymptotic analysis of spectrum of the system operator,we shown that the spectrum of the operator are separated and simple except at most finite number of eigenvalues.As a special case,we obtain the asymptotic expression of frequencies of the free system,and hence applying Keldysh theorem,we prove that the generalized eigenfunctions of the operator is complete in the state Hilbert space.In addition,applying an obtained result,we get that there is a sequence of generalized eigenfunctions of the operator that forms a Riesz basis for state Hilbert space.Finally,from the Riesz basis property and the distribution of spectrum of the operator we assert the exponential stability of the system.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"12 1","pages":"193-209"},"PeriodicalIF":0.0,"publicationDate":"2011-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69834614","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}