We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics. AMS Subject Classification: 49J99, 91B55, 91B62
{"title":"Structure of solutions of nonautonomous optimal control problems in metric spaces","authors":"A. Zaslavski","doi":"10.7862/RF.2015.12","DOIUrl":"https://doi.org/10.7862/RF.2015.12","url":null,"abstract":"We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics. AMS Subject Classification: 49J99, 91B55, 91B62","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128523580","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}
In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are dened by the Hadamard product. Using the univalence criterions, we obtain new sucient conditions for these operators to be univalent in the open unit disk. We give some applications of the main results.
{"title":"New univalence criterions for special general integral operators","authors":"A. Ebadian, J. Sokół","doi":"10.7862/RF.2013.5","DOIUrl":"https://doi.org/10.7862/RF.2013.5","url":null,"abstract":"In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are dened by the Hadamard product. Using the univalence criterions, we obtain new sucient conditions for these operators to be univalent in the open unit disk. We give some applications of the main results.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116478822","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}
{"title":"Solvability of a Quadratic Integral Equation of Fredholm Type Via a Modified Argument","authors":"İlyas Dal, Ö. Temizer","doi":"10.7862/rf.2020.3","DOIUrl":"https://doi.org/10.7862/rf.2020.3","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125426952","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}
{"title":"Some inequalities for the polar derivative of a polynomial with restricted zeros","authors":"A. Zireh, S. Hosseini","doi":"10.7862/RF.2014.11","DOIUrl":"https://doi.org/10.7862/RF.2014.11","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133547075","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}
{"title":"Close-to-convexity properties of basic hypergeometric functions using their Taylor coefficients","authors":"K. Raghavendar, A. Swaminathan","doi":"10.7862/RF.2012.5","DOIUrl":"https://doi.org/10.7862/RF.2012.5","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128281780","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}
In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces. AMS Subject Classification: 40A05, 46A45, 46B70.
{"title":"Some strongly almost summable sequence spaces","authors":"S. Sharma, A. Esi","doi":"10.7862/RF.2017.12","DOIUrl":"https://doi.org/10.7862/RF.2017.12","url":null,"abstract":"In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces. AMS Subject Classification: 40A05, 46A45, 46B70.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123850911","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}
The main purpose of this paper is to give two instability theorems to fourth order nonlinear differential equations with a variable deviating argument. AMS Subject Classification: 34K20
{"title":"Instability to differential equations of fourth order with a variable deviating argument","authors":"C. Tunç","doi":"10.7862/RF.2013.10","DOIUrl":"https://doi.org/10.7862/RF.2013.10","url":null,"abstract":"The main purpose of this paper is to give two instability theorems to fourth order nonlinear differential equations with a variable deviating argument. AMS Subject Classification: 34K20","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124494072","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}
This paper focuses on the problem concerning the location and the number of zeros of polynomials in a specific region when their coefficients are restricted with special conditions. We obtain extensions of some classical results concerning the number of zeros of polynomials in a prescribed region by imposing the restrictions on the moduli of the coefficients, the real parts(only) of the coefficients, and the real and imaginary parts of the coefficients. AMS Subject Classification: 30A99, 30E10, 41A10.
{"title":"Number of Zeros of a Polynomial in a Specific Region with Restricted Coefficients","authors":"A. Mir, Abrar Ahmad, A. Malik","doi":"10.7862/rf.2019.9","DOIUrl":"https://doi.org/10.7862/rf.2019.9","url":null,"abstract":"This paper focuses on the problem concerning the location and the number of zeros of polynomials in a specific region when their coefficients are restricted with special conditions. We obtain extensions of some classical results concerning the number of zeros of polynomials in a prescribed region by imposing the restrictions on the moduli of the coefficients, the real parts(only) of the coefficients, and the real and imaginary parts of the coefficients. AMS Subject Classification: 30A99, 30E10, 41A10.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124555479","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}
{"title":"A Sandwich Type Hahn-Banach Theorem for Convex and Concave Functionals","authors":"Jingshi Xu","doi":"10.7862/rf.2021.9","DOIUrl":"https://doi.org/10.7862/rf.2021.9","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114443874","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}
We investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shelllike curves and connected with Fibonacci numbers. For this, firstly, we prove a conjecture, posed in [17], for sharp upper bound of second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions. AMS Subject Classification: 30C45, 30C50.
{"title":"An upper bound for third Hankel determinant of starlike functions related to shell-like curves connected with Fibonacci numbers","authors":"Janusz Sokół, S. Ilhan, H. Özlem Güney","doi":"10.7862/RF.2018.14","DOIUrl":"https://doi.org/10.7862/RF.2018.14","url":null,"abstract":"We investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shelllike curves and connected with Fibonacci numbers. For this, firstly, we prove a conjecture, posed in [17], for sharp upper bound of second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions. AMS Subject Classification: 30C45, 30C50.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127777716","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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