Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00360
Jiafa Xu, Zhongli Wei, Youzheng Ding
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.
{"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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00001
Zhou Wenxue, L. Haizhong
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.
{"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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00066
Jingen Yang, Xuezhi Li, Xi-lai Zhang
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.
{"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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00211
Wang Guo-xin
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.
{"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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00375
Guojuan Zhang, B. Zheng
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.
{"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}
Pub Date : 2013-01-01DOI: 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}
Pub Date : 2013-01-01DOI: 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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00007
Xian-Feng Zhou
{"title":"Positive Solutions and Eigenvalue Intervals for a Singular Second-Order Boundary Value Problem with Varying Delay","authors":"Xian-Feng Zhou","doi":"10.3724/SP.J.1160.2013.00007","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00007","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"7"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838179","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.1160.2013.00015
Wang Jian-yong
In this paper we propose three measure conjectures that seem to be right,via some theorems and the construction of A-Cantor set and its complementary set,we obtain the negative answers to the three conjectures.
{"title":"The Negation of Three Measure Conjectures","authors":"Wang Jian-yong","doi":"10.3724/SP.J.1160.2013.00015","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00015","url":null,"abstract":"In this paper we propose three measure conjectures that seem to be right,via some theorems and the construction of A-Cantor set and its complementary set,we obtain the negative answers to the three conjectures.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"15"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838199","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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