In this study, we consider integral boundary value problems of nonlinear fractional differential equations with finite delay. Existence results of positive solutions for the problems are obtained on the basis of the Guo-Krasnoselskii theorem and the Leggett-Williams fixed point theorem. Comprehensive examples follow the main results in the respective sections.
{"title":"Positive solutions for integral boundary value problems of nonlinear fractional differential equations with delay","authors":"Tawanda Chakuvinga, F. Topal","doi":"10.2298/fil2302567c","DOIUrl":"https://doi.org/10.2298/fil2302567c","url":null,"abstract":"In this study, we consider integral boundary value problems of nonlinear fractional differential equations with finite delay. Existence results of positive solutions for the problems are obtained on the basis of the Guo-Krasnoselskii theorem and the Leggett-Williams fixed point theorem. Comprehensive examples follow the main results in the respective sections.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We prove a number of nonexistence theorems for metrics projectively and holomorphically projectively equivalent to parabolic metrics and metrics of finite volume of complete Riemannian and K?hler manifolds, respectively.
{"title":"On metrics projectively and holomorphically projectively equivalent to metrics of parabolic Riemannian and Kähler manifolds","authors":"J. Mikeš, S. Stepanov, I. Tsyganok","doi":"10.2298/fil2303949m","DOIUrl":"https://doi.org/10.2298/fil2303949m","url":null,"abstract":"We prove a number of nonexistence theorems for metrics projectively and holomorphically projectively equivalent to parabolic metrics and metrics of finite volume of complete Riemannian and K?hler manifolds, respectively.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ricardo Cruz-Castillo, A. Ramírez-Páramo, J. Tenorio
In this paper we continue the study of the characterization of selection principles in the hyperspaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using ??(?)-networks and c?(?)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star Hurewicz, star Hurewicz and absolutely strongly star Hurewicz in these hyperspaces.
{"title":"Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology","authors":"Ricardo Cruz-Castillo, A. Ramírez-Páramo, J. Tenorio","doi":"10.2298/fil2304143c","DOIUrl":"https://doi.org/10.2298/fil2304143c","url":null,"abstract":"In this paper we continue the study of the characterization of selection principles in the hyperspaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using ??(?)-networks and c?(?)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star Hurewicz, star Hurewicz and absolutely strongly star Hurewicz in these hyperspaces.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular ??admissible pairs, are demonstrated in the setting of modular b?metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.
{"title":"On generalized Suzuki-Proinov type (α,Z*E)−contractions in modular b−metric spaces","authors":"Abdurrahman Büyükkaya, Andreea Fulg, Mahpeyker Özturk","doi":"10.2298/fil2304207b","DOIUrl":"https://doi.org/10.2298/fil2304207b","url":null,"abstract":"This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular ??admissible pairs, are demonstrated in the setting of modular b?metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We propose an age-space structured brucellosis model that includes diffusion with heterogeneous coefficients and a general nonlinear incidence rate. The renewal process is used to calculate the next generation operator, and the basic reproduction number R0 is defined by the spectral radius of the next generation operator. We prove that R0 governs the threshold dynamics of the brucellosis model: when R0 < 1 the disease dies out, and when R0 > 1 the disease persists.
{"title":"Threshold dynamics of an age-space structured brucellosis model with nonlinear incidence rate on a heterogeneous environment","authors":"E. Avila-Vales, Ángel G. C. Pérez","doi":"10.2298/fil2304989a","DOIUrl":"https://doi.org/10.2298/fil2304989a","url":null,"abstract":"We propose an age-space structured brucellosis model that includes diffusion with heterogeneous coefficients and a general nonlinear incidence rate. The renewal process is used to calculate the next generation operator, and the basic reproduction number R0 is defined by the spectral radius of the next generation operator. We prove that R0 governs the threshold dynamics of the brucellosis model: when R0 < 1 the disease dies out, and when R0 > 1 the disease persists.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The study of magnetic curves, seen as solutions of Lorentz equation, has been done mainly in 3-dimensional case, motivated by theoretical physics. Then it was extended in higher dimensions, as for instance in K?hlerian or Sasakian frame. This paper deals for the first time in literature with magnetic Frenet curves in higher dimensional paracontact context. Several classifications are provided here for different types of magnetic curves on para-Sasakian manifolds. Some relations between magnetic Frenet curves and Lorenz force are obtained on these spaces and examples of magnetic curves associated to paracontact magnetic fields are constructed. Some explicit equations of the paracontact magnetic curves on the classical para-Sasakian manifold (R2n+1, ?, ?, ?, 1) are given at the end.
{"title":"Magnetic Frenet curves on para-Sasakian manifolds","authors":"C. Bejan, T. Binh, S. Druta-Romaniuc","doi":"10.2298/fil2305479b","DOIUrl":"https://doi.org/10.2298/fil2305479b","url":null,"abstract":"The study of magnetic curves, seen as solutions of Lorentz equation, has been done mainly in 3-dimensional case, motivated by theoretical physics. Then it was extended in higher dimensions, as for instance in K?hlerian or Sasakian frame. This paper deals for the first time in literature with magnetic Frenet curves in higher dimensional paracontact context. Several classifications are provided here for different types of magnetic curves on para-Sasakian manifolds. Some relations between magnetic Frenet curves and Lorenz force are obtained on these spaces and examples of magnetic curves associated to paracontact magnetic fields are constructed. Some explicit equations of the paracontact magnetic curves on the classical para-Sasakian manifold (R2n+1, ?, ?, ?, 1) are given at the end.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we prove the boundedness of generalized fractional integral operators I? in the vanishing generalized weighted Morrey-type spaces, such as vanishing generalized weighted local Morrey spaces and vanishing generalized weighted global Morrey spaces by using weighted Lp estimates over balls. In more detail, we obtain the Spanne-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted local Morrey spaces with wq ? A1+ q/p' for 1 < p < q < ?, and from the vanishing generalized weighted local Morrey spaces to the vanishing generalized weighted weak local Morrey spaces with w A1,q for p = 1, 1 < q < ?. We also prove the Adams-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted global Morrey spaces with w Ap,q for 1 < p < q < ? and from the vanishing generalized weighted global Morrey spaces to the vanishing generalized weighted weak global Morrey spaces with w A1,q for p = 1, 1 < q < ?. The our all weight functions belong to Muckenhoupt-Weeden classes Ap,q.
{"title":"Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces","authors":"A. Kucukaslan","doi":"10.2298/fil2306893k","DOIUrl":"https://doi.org/10.2298/fil2306893k","url":null,"abstract":"In this paper, we prove the boundedness of generalized fractional integral operators I? in the vanishing generalized weighted Morrey-type spaces, such as vanishing generalized weighted local Morrey spaces and vanishing generalized weighted global Morrey spaces by using weighted Lp estimates over balls. In more detail, we obtain the Spanne-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted local Morrey spaces with wq ? A1+ q/p' for 1 < p < q < ?, and from the vanishing generalized weighted local Morrey spaces to the vanishing generalized weighted weak local Morrey spaces with w A1,q for p = 1, 1 < q < ?. We also prove the Adams-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted global Morrey spaces with w Ap,q for 1 < p < q < ? and from the vanishing generalized weighted global Morrey spaces to the vanishing generalized weighted weak global Morrey spaces with w A1,q for p = 1, 1 < q < ?. The our all weight functions belong to Muckenhoupt-Weeden classes Ap,q.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The spectral characteristics of the operator L is studied where L is defined within the Hilbert space L2(R+, CV) given by a finite system of Klein-Gordon type differential equations and boundary condition at general form. The research of the Klein-Gordon type operator continues to be an important topic for researchers due to the range of applicability of them in numerous branches of mathematics and quantum physics. Contrary to the previous works, we take the potential as complex valued and generalize the problem to the matrix Klein-Gordon operator case. The spectrum is derived by determining the Jost function and resolvent operator of the prescribed operator. Further, we provide the conditions that must be met for the certain quantitative properties of the spectrum.
{"title":"Spectral properties of the finite system of Klein-Gordon S-wave equations with general boundary condition","authors":"E. Arpat, N. Yokuş, N. Coskun","doi":"10.2298/fil2306907a","DOIUrl":"https://doi.org/10.2298/fil2306907a","url":null,"abstract":"The spectral characteristics of the operator L is studied where L is defined within the Hilbert space L2(R+, CV) given by a finite system of Klein-Gordon type differential equations and boundary condition at general form. The research of the Klein-Gordon type operator continues to be an important topic for researchers due to the range of applicability of them in numerous branches of mathematics and quantum physics. Contrary to the previous works, we take the potential as complex valued and generalize the problem to the matrix Klein-Gordon operator case. The spectrum is derived by determining the Jost function and resolvent operator of the prescribed operator. Further, we provide the conditions that must be met for the certain quantitative properties of the spectrum.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
While there are many scientific manuscripts devoted to various details of the evolution of curves and their models, there are still many perspectives of the research subject that required comprehensive investigation. In particular, this manuscript is devoted to the search of a new class of time evolution equations of space curves written in the anholonomic coordinates. In this way, we have direct observation and access to form a new class of anholonomic surfaces induced by the given evolution systems. Thus, the proper representation of the evolution equations allows us to obtain useful characteristics of the corresponding evolution dynamics.
{"title":"Anholonomic surfaces via directional motion of curves","authors":"T. Korpinar, R. Demi̇rkol, Z. Korpinar","doi":"10.2298/fil2306777k","DOIUrl":"https://doi.org/10.2298/fil2306777k","url":null,"abstract":"While there are many scientific manuscripts devoted to various details of the evolution of curves and their models, there are still many perspectives of the research subject that required comprehensive investigation. In particular, this manuscript is devoted to the search of a new class of time evolution equations of space curves written in the anholonomic coordinates. In this way, we have direct observation and access to form a new class of anholonomic surfaces induced by the given evolution systems. Thus, the proper representation of the evolution equations allows us to obtain useful characteristics of the corresponding evolution dynamics.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68270941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we give some new characterizations of SEP elements and partial isometries in rings with involution. Especially, we discuss these characterizations from the perspectives of the existence of solutions to certain equations, and the form of the general solutions to some equations.
{"title":"Some studies of SEP elements in a ring with involution","authors":"Shiyin Zhao, Dandan Zhao, Junchao Wei","doi":"10.2298/fil2306815z","DOIUrl":"https://doi.org/10.2298/fil2306815z","url":null,"abstract":"In this paper, we give some new characterizations of SEP elements and partial isometries in rings with involution. Especially, we discuss these characterizations from the perspectives of the existence of solutions to certain equations, and the form of the general solutions to some equations.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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