Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00157
Wei Dongyi
Firstly,we give some definitions and properties for the fractional integral and differential. Secondly,some errors in Refs[1]and[13]are corrected by Laplace transform and Hankel integral formula of T function,and general existence and nonexistence theorems of solutions are given.Finally,we obtain the explicit solution of the initial value problem for variable coefficients fractional differential equations with composite fractional derivative operator by Laplace transform and successive approximation method.
{"title":"Solutions for Cauchy Problems of Composite Fractional Differential Equations","authors":"Wei Dongyi","doi":"10.3724/SP.J.1160.2013.00157","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00157","url":null,"abstract":"Firstly,we give some definitions and properties for the fractional integral and differential. Secondly,some errors in Refs[1]and[13]are corrected by Laplace transform and Hankel integral formula of T function,and general existence and nonexistence theorems of solutions are given.Finally,we obtain the explicit solution of the initial value problem for variable coefficients fractional differential equations with composite fractional derivative operator by Laplace transform and successive approximation method.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"157"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838589","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00177
X. Qiao, Lijuan Yang, Wei-yuan Li, Yu-feng Zhang
{"title":"Properties of the System Operator of the M/G/1 Queueing System with Additional Optional Service and No Waiting Capacity","authors":"X. Qiao, Lijuan Yang, Wei-yuan Li, Yu-feng Zhang","doi":"10.3724/SP.J.1160.2013.00177","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00177","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"177"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838604","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00131
Zhang Shen-gui
In this paper,we investigate the existence of periodic solution for nonautonmous second order system with partially periodic potential or sublinear nonlinearity by general saddle point theorem.Some sufficient conditions for the existence of multiple periodic solutions are obtained, and this results improve the existing ones.
{"title":"Multiple Periodic Solutions for a Class of Sublinear Nonautonmous Second Order System","authors":"Zhang Shen-gui","doi":"10.3724/SP.J.1160.2013.00131","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00131","url":null,"abstract":"In this paper,we investigate the existence of periodic solution for nonautonmous second order system with partially periodic potential or sublinear nonlinearity by general saddle point theorem.Some sufficient conditions for the existence of multiple periodic solutions are obtained, and this results improve the existing ones.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"131"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838930","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00253
Dezhou Kong
{"title":"Strong Convergence Theorem for a Generalized Equilibrium Problem and a Family of Infinitely Quasi(φ)-Nonexpansive Mappings in a Banach Space","authors":"Dezhou Kong","doi":"10.3724/SP.J.1160.2013.00253","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00253","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"253"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839440","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00355
Yuxia Li, Xiaoqiu Song, Xiaohong Yu
Based on the perturbation of bi-continuous n-times integrated C-semigroups and α-times integrated C-semigroups,we conclude some perturbations of bi-continuous α-times integrated C-semigroups,and the perturbations of bi-continuous α-times integrated C-semigroups is also proved under the conditions of local Lipschitz continuous.
{"title":"The Perturbation Theory of Exponentially Bounded Bi-continuous α-times Integrated C-semigroups","authors":"Yuxia Li, Xiaoqiu Song, Xiaohong Yu","doi":"10.3724/SP.J.1160.2013.00355","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00355","url":null,"abstract":"Based on the perturbation of bi-continuous n-times integrated C-semigroups and α-times integrated C-semigroups,we conclude some perturbations of bi-continuous α-times integrated C-semigroups,and the perturbations of bi-continuous α-times integrated C-semigroups is also proved under the conditions of local Lipschitz continuous.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"16 1","pages":"355"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69840247","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.1160.2012.00362
Yang An, F. Zhao
{"title":"The Relation between Lipschitz Continuity and Lower Boundness of a Convex Function in Normed Space","authors":"Yang An, F. Zhao","doi":"10.3724/SP.J.1160.2012.00362","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00362","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"363"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837759","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.1160.2012.00356
Li Shi, Xinhua Jiang, Duan Su
For the initial-boundary value problem for the one-dimensional nonlinear beam equation with fixed ends,a first-term approximate solution is constructed via the method of multiple scales and uniform estimate for the error of the approximate solution is estimated by using energy method combining with nonlinear Gronwall inequality.
{"title":"Perturbed Solution of the One-dimensional Nonlinear Beam Equation","authors":"Li Shi, Xinhua Jiang, Duan Su","doi":"10.3724/SP.J.1160.2012.00356","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00356","url":null,"abstract":"For the initial-boundary value problem for the one-dimensional nonlinear beam equation with fixed ends,a first-term approximate solution is constructed via the method of multiple scales and uniform estimate for the error of the approximate solution is estimated by using energy method combining with nonlinear Gronwall inequality.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"26 1","pages":"356"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837872","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.1160.2012.00419
Wayit Zulhumar, Gupur Geni
{"title":"Another Eigenvalue of the M/M/1 Queueing Model with Second Optional Service","authors":"Wayit Zulhumar, Gupur Geni","doi":"10.3724/SP.J.1160.2012.00419","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00419","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"419"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838315","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.1160.2012.00388
Xiaoling Li
{"title":"Convergence Theorems for Fixed Points of Generalized Φ-pseudo-contractive Type Mapping","authors":"Xiaoling Li","doi":"10.3724/SP.J.1160.2012.00388","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00388","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"67 1","pages":"388"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838441","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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