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Solutions for Cauchy Problems of Composite Fractional Differential Equations 复合分数阶微分方程Cauchy问题的解
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00157
Wei Dongyi
{"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}
引用次数: 0
Properties of the System Operator of the M/G/1 Queueing System with Additional Optional Service and No Waiting Capacity 具有附加可选服务且无等待容量的M/G/1排队系统算子的性质
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 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}
引用次数: 1
Multiple Periodic Solutions for a Class of Sublinear Nonautonmous Second Order System 一类次线性非自治二阶系统的多周期解
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00131
Zhang Shen-gui
{"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}
引用次数: 1
Strong Convergence Theorem for a Generalized Equilibrium Problem and a Family of Infinitely Quasi(φ)-Nonexpansive Mappings in a Banach Space Banach空间中一类广义平衡问题和无限拟(φ)-非扩张映射的强收敛定理
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 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}
引用次数: 0
The Perturbation Theory of Exponentially Bounded Bi-continuous α-times Integrated C-semigroups 指数有界双连续α-次积分c -半群的微扰理论
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00355
Yuxia Li, Xiaoqiu Song, Xiaohong Yu
{"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}
引用次数: 0
Stability of Stong Efficient Solutions for Vector Equilibrium Problems 向量平衡问题强有效解的稳定性
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00125
Jun Song, Fengyun Xu
{"title":"Stability of Stong Efficient Solutions for Vector Equilibrium Problems","authors":"Jun Song, Fengyun Xu","doi":"10.3724/SP.J.1160.2012.00125","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00125","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"125"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836534","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 Relation between Lipschitz Continuity and Lower Boundness of a Convex Function in Normed Space 赋范空间中凸函数的Lipschitz连续性与下界的关系
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 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}
引用次数: 0
Perturbed Solution of the One-dimensional Nonlinear Beam Equation 一维非线性梁方程的摄动解
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00356
Li Shi, Xinhua Jiang, Duan Su
{"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}
引用次数: 0
Another Eigenvalue of the M/M/1 Queueing Model with Second Optional Service 具有第二个可选服务的M/M/1队列模型的另一个特征值
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 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}
引用次数: 4
Convergence Theorems for Fixed Points of Generalized Φ-pseudo-contractive Type Mapping 广义Φ-pseudo-contractive类型映射不动点的收敛定理
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 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}
引用次数: 0
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