University of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801On category of co-coveringsدر باب رسته ی هم پوشش ها8490205510.22080/cjms.2019.15257.1360ENHamidTorabiDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.MehdiAbdullahiDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.Journal Article20181203In this article, we introduce the concept of co-covering which is the dual of covering concept. Then, we prove several theorems being similar to the theorems that have been de-veloped for the covering concept. For example, we provide the lifting criterion for co-coverings of a topological space X, which helps us to classify them by subgroups of the group of all homeomorphisms of X.http://cjms.journals.umz.ac.ir/article_2055_b5fd14bf937317e322185b0ef1a90108.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Eigenfunction expansion in the singular case for q-Sturm-Liouville operators.91102183210.22080/cjms.2018.13943.1339ENBilenderAllahverdievDepartment of Mathematics, Suleyman Demirel University, 32260 Isparta, TurkeyHuseyinTunaDepartment of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, TurkeyJournal Article20180411In this work, we prove the existence of a spectral function for singular q-Sturm-Liouville operator. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.http://cjms.journals.umz.ac.ir/article_1832_112389ce5fbc7ff05ca99c9fbc9c6710.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation.103119200710.22080/cjms.2018.14486.1346ENOlufemi ElijahIgeDepartment of Mathematics and Physics, School of Engineering science, Lappeenranta University of Technology, Lappeenranta, Finland.Razak AdekolaOderinuDepartment of Pure and Applied Mathematics, Ladoke Akintola University
of Technology, P.M.B 4000, Oyo state, Nigeria.Tarig MohyeldinElzakiMathematics Department, Faculty of Science and Arts -Alkamil, University of Jeddah, Jeddah, Saudi ArabiaJournal Article20180719Elzaki transform and Adomian polynomial is used to obtain the exact solutions of nonlinear fifth order Korteweg-de Vries (KdV) equations. In order to investigate the effectiveness of the method, three fifth order KdV equations were considered. Adomian polynomial is introduced as an essential tool to linearize all the nonlinear terms in any given equation because Elzaki transform cannot handle nonlinear functions on its own. In all the three problems considered, the series solutions obtained converges to the exact solutions. Three dimensional graphs were also plotted to give the shape of the solutions of some KdV equations considered. Hence, Elzaki transform and Adomian polynomial together gives a very powerful and ffective method for solving nonlinear partial differential equations.http://cjms.journals.umz.ac.ir/article_2007_cad14ef1482ba482942092d05c63aa2f.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Controlled *-G-Frames and their *-G-Multipliers IN Hilbert C*-Modules*-G - قابهای کنترل شده و *-G- ضربهایشان در فضای هیلبرت C* -مدولها120136227610.22080/cjms.2019.16669.1401ENZahraAhmadimoosaviDepartment of Pure Mathematics, Faculty of Mathematics and Computer Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran.AkbarNazariDepartment of Pure Mathematics, Faculty of Mathematics and Computer Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran.Journal Article20190702In this paper we introduce controlled *-g-frame and *-g-multipliers in Hilbert C*-modules and investigate the properties. We demonstrate that any controlled *-g-frame is equivalent to a *-g-frame and define multipliers for (C,C')- controlled*-g-frames<br /> .http://cjms.journals.umz.ac.ir/article_2276_a1571ff17c8b8af829175b20f6ee4eb4.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Endpoints of generalized $phi$-contractive multivalued mappings of integral typeنقاط انتهایی نگاشت های مجموعه مقداری $phi$-انقباظی تعمیم یافته ازنوع انتگرالی137144189910.22080/cjms.2018.9207.1265ENBabakMohammadiDepartment of Mathematics, Marand Branch, Islamic Azad University, Marand, IranEsmaeilAlizadehDepartment of Mathematics, Marand Branch, Islamic Azad University, Marand, IranJournal Article20160109Recently, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha-psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractive multifunctions satisfing property (BS). In this paper, we prove existence and uniqueness of endpoint for multivalued mappings satisfing the weaker conditions generalized $phi$-contractivity of integral type and property (HS). This result generalize and improve Mohammadi and Rezapour's result. Also, we give an example to illustrate the usability of the result.http://cjms.journals.umz.ac.ir/article_1899_b19789f04257e3f76383b389566c407e.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Recovering Sturm-Liouville operators with a discontinuous weight functionبازیابی عملگرهای استورم-لیوویل با یک تابع وزن ناپیوسته145153215110.22080/cjms.2019.15118.1359ENYasserKhaliliSari Agricultural Sciences and Natural Resources UniversityJournal Article20181112In this study, we investigate the inverse problem for Sturm-Liouville differential operators on a finite interval having a discontinuous weight function. We give properties of the spectral characteristics and prove the uniqueness theorem for the inverse problem of recovering operators.http://cjms.journals.umz.ac.ir/article_2151_6c155d5a42372aa2987dd76045512d48.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Adams completion and exterior algebra.154161190010.22080/cjms.2018.6846.1222ENMitaliRoutarayNIT Rourkela, Odisha, IndiaAkrurBeheraNIT Rourkela, Odisha, IndiaJournal Article20150223Deleanu, Frei and Hilton have developed the notion of generalized Adams completion in a categorical context. In this note, it is shown that given an algebra, its exterior algebra is isomorphic to the Adams completion of the algebra with respect to a chosen set of morphisms in a suitable category.http://cjms.journals.umz.ac.ir/article_1900_8d219dc1feb81bfc19a70fe153a65cf7.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Fundamental commutative (m, n)-rings obtained from (m, n)-hyperringsحلقه های (m,n)-تایی تعویض پذیر اساسی بدست آمده از ابرحلقه های (m, n)-تایی162177215610.22080/cjms.2019.15921.1379ENMortezaNorouziDepartment of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran0000-0001-9850-1126RezaAmeriSchool of Mathematics, Statistics and
Computer Science, College of Science, University of Tehran0000-0001-5760-1788Journal Article20190325We introduce the fundamental relation, $alpha^{*}$, on an $(m,n)$-hyperring $R$ and indicate that this relation is the smallest strongly regular equivalence relation on $R$ such that $R/alpha^{*}$ is an commutative $(m, n)$-ring. We use $alpha^{*}$-relation to construct the fundamental functor from category of $(m, n)$-hyperrings to the category of commutative $(m,n)$-rings. Finally, some necessary and sufficient conditions for transitivity of $alpha$ are given.http://cjms.journals.umz.ac.ir/article_2156_5662c6921a0324c06101824e208c518d.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801The Generalization of Helices.178195221510.22080/cjms.2019.14595.1356ENTakeshiTakahashiMeitoku High School, Nagaoka Niigata, JapanJournal Article20181022We defined new special curves in Euclidean 3-space which refer to clad helices and found the geometric invariants of clad helices [17]. These notions are generalizations of the notion of cylindrical helices and slant helices. Using the geometric invariants of clad helices in this article, we proposed approaches to construct examples of clad helices in E3 and on S2. Moreover, we obtained the classication of special developable surfaces under the condition of the existence of clad helices as a geodesic and existence of slant helices as a line of curvature.http://cjms.journals.umz.ac.ir/article_2215_bb1fe5cb9197ae3010da64b0aecbb184.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72608220190801Spherical Indicatrices of Admissible Curves in pseudo-Galilean Space.196205230010.22080/cjms.2018.5401.1196ENHulyaGun BozokOsmaniye Korkut Ata University, Department of mathematics, Osmaniye, TURKEY.HandanOztekinFırat University, Department of mathematics, Elazığ, TURKEY.Journal Article20140819In this study, position vectors of admissible curve in the natural representation and spherical indicatrices for tangent, normal and binormal vectors of a general helix in the pseudo-Galilean space are researched. Moreover some examples are given.http://cjms.journals.umz.ac.ir/article_2300_dbe20ad1b19f1133fac9f2e41cd1ada0.pdf