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Existence of Nontrivial Solutions for Second Order Impulsive Periodic Boundary Value Problems 二阶脉冲周期边值问题非平凡解的存在性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00360
Jiafa Xu, Zhongli Wei, Youzheng Ding
{"title":"Existence of Nontrivial Solutions for Second Order Impulsive Periodic Boundary Value Problems","authors":"Jiafa Xu, Zhongli Wei, Youzheng Ding","doi":"10.3724/SP.J.1160.2013.00360","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00360","url":null,"abstract":"In this paper,a class of second order periodic boundary value problem with impulsive effects is considered.The existence theorems of nontrivial solutions are obtained by virtue of variational methods and critical point theory.The results here extend the existing study.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"360"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69840383","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 Solutions for Integro-differential Equations of Mixed Type in Banach Spaces Banach空间中混合型积分-微分方程解的存在性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00001
Zhou Wenxue, L. Haizhong
{"title":"Existence of Solutions for Integro-differential Equations of Mixed Type in Banach Spaces","authors":"Zhou Wenxue, L. Haizhong","doi":"10.3724/SP.J.1160.2013.00001","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00001","url":null,"abstract":"The initial value problem of differential equation can be reduced to the equivalent integral equation.Recently,this method is used successfully to discuss the existence of the solution to initial value problem of nonlinear differential equation.Using the fixed point theorem of convexpower condensing operator,we study the existence of solutions to initial value problems for nonlinear second order integro-differential equations of mixed type in Banach spaces.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"1"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838145","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
An Delay Tuberculosis Model with Impulsive Vaccination and Vertical Transmission 具有脉冲接种和垂直传播的延迟结核模型
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00066
Jingen Yang, Xuezhi Li, Xi-lai Zhang
{"title":"An Delay Tuberculosis Model with Impulsive Vaccination and Vertical Transmission","authors":"Jingen Yang, Xuezhi Li, Xi-lai Zhang","doi":"10.3724/SP.J.1160.2013.00066","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00066","url":null,"abstract":"A HBV epidemic model with pulse vaccination and delay is researched,the vertical transmission of disease is considered aslo.The reproductive numbers R_1 and R_2 are defined.We point out,if R_1 1,the infection-free periodic solution of system is global asymptotic stable,while if R_2 1,the infectious persist.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"66"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838498","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
GM(1,1) Model Improvement and Application GM(1,1)模型改进与应用
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00211
Wang Guo-xin
{"title":"GM(1,1) Model Improvement and Application","authors":"Wang Guo-xin","doi":"10.3724/SP.J.1160.2013.00211","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00211","url":null,"abstract":"With the rapid of economic development,the forecast of economic has been a necessary method.We choice the gray model to predict the development of the economy in this paper.However,there are some short coming in the traditional GM(1,1) model.Always,we can't get what we want when the data vary widely,the prediction accuracy is not.Firstly,the GM(1,1)model to do a brief introduction and then improved the smoothness of the initial value and the value of the background value optimization model,and finally we use of the improved model to predict the economic development in the next few years of Lanzhou.We can see that the GDP of Lanzhou will reach 600 bilion in the year of 2020 from the forecast.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"211"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839218","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
Topological Transitivity for Induced Hyperspace Flows 诱导超空间流的拓扑传递性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00243
Yuhu Wu, D. Ji
{"title":"Topological Transitivity for Induced Hyperspace Flows","authors":"Yuhu Wu, D. Ji","doi":"10.3724/SP.J.1160.2013.00243","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00243","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"243"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839048","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
A Class of Random Fixed Point Theorem and Its Special Example 一类随机不动点定理及其特殊例子
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00375
Guojuan Zhang, B. Zheng
{"title":"A Class of Random Fixed Point Theorem and Its Special Example","authors":"Guojuan Zhang, B. Zheng","doi":"10.3724/SP.J.1160.2013.00375","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00375","url":null,"abstract":"In this paper several random fixed point theorem were newly developed when resolving some random fixed point problems on the basis of random topological degree.As special examples of the developed theorem,the boundary fixed point theorem was also given for their according definite operator.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"375"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69840911","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
Couple Integral Boundary Value Problem of Second Order Differential Equations 二阶微分方程的耦合积分边值问题
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00125
Yu-mei Zou, Yujun Cui
{"title":"Couple Integral Boundary Value Problem of Second Order Differential Equations","authors":"Yu-mei Zou, Yujun Cui","doi":"10.3724/SP.J.1160.2013.00125","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00125","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"125"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838880","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 Existence of Positive Solutions of the Singular Higher-order Differential Equation of Eigenvalue Problem 特征值问题奇异高阶微分方程正解的存在性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00259
Jing Xu, Jiaping Gu, Lianggen Hu
{"title":"The Existence of Positive Solutions of the Singular Higher-order Differential Equation of Eigenvalue Problem","authors":"Jing Xu, Jiaping Gu, Lianggen Hu","doi":"10.3724/SP.J.1160.2013.00259","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00259","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"259"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839493","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
p-convex Function and Some Inequalities p-凸函数与若干不等式
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00082
Renjie Shi, Z. Fang
{"title":"p-convex Function and Some Inequalities","authors":"Renjie Shi, Z. Fang","doi":"10.3724/SP.J.1160.2013.00082","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00082","url":null,"abstract":"In this paper,we investigate new properties and criterions of p- convex function,and also establish Jensen,Rado and Hadamard inequalities.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"82"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838554","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 Mond-Weir Duality for Super Efficient Solutions of Set-Valued Optimization 集值优化超高效解的高阶Mond-Weir对偶性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00234
Yihong Xu, Qianqian Han, Xiangqiu Tu
{"title":"Higher Order Mond-Weir Duality for Super Efficient Solutions of Set-Valued Optimization","authors":"Yihong Xu, Qianqian Han, Xiangqiu Tu","doi":"10.3724/SP.J.1160.2013.00234","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00234","url":null,"abstract":"In real normed linear spaces,by virtue of the cone-directed higher order generalized adjacent derivatives,a higher order Mond-Weir dual problem for a constrained set-valued optimization is considered in the sense of super efficient solutions.Under the assumption of generalized cone-convexity,with the help of the properties of cone-directed higher order generalized adjacent derivatives by applying separate theorem for convex sets,a strong duality theorem is established.By taking advantage of the scalarization theorem for a super efficient point,a converse duality theorem is obtained.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"234"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839035","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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