University of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Category of $H$-groups.123225310.22080/cjms.2019.16307.1390ENAliPakdamanGolestan UniversityHamidTorabiDepartment of Pure Mathematics
Ferdowsi University of MashhadBehroozMashayekhyDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.Journal Article20190515This paper develops a basic theory of $H$-groups. We introduce a special quotient of $H$-groups and extend some algebraic constructions of topological groups to the category of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups.http://cjms.journals.umz.ac.ir/article_2253_4a75d26e380cf60c3eb4aae5e15b7763.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Weighted composition operators on weighted Bergman spaces and weighted Bloch spacesعملگرهای ترکیبی وزن دار روی فضاهای برگمن و بلاک وزن دار2438247910.22080/cjms.2020.12119.1316ENMostafaHassanlouKhoy Faculty of Engineering, Urmia University, Urmia, IranHamidVaeziDepatment of Pure Mathematics, Faculty of Mathematical Sciences,
University of Tabriz, Tabriz, Iran.Journal Article20170427In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.http://cjms.journals.umz.ac.ir/article_2479_1d5c5461556054393d321630716ea508.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101A new idea for exact solving of the complex interval linear systemsایده جدیدی برای حل دقیق دستگاههای بازه ای مختلط3955232410.22080/cjms.2019.16389.1393ENMojtabaGhanbariDepartment of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran0000-0003-4790-769XJournal Article20190601In this paper, the aim is to find a complex interval vector [Z] such that satisfies the complex interval linear system C[Z]=[W]. For this, we present a new method by restricting the general solution set via applying some parameters. The numerical examples are given to show ability and reliability of the proposed method.http://cjms.journals.umz.ac.ir/article_2324_031a9efae9d2b383066650a5b96ce7d8.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Translation surfaces according to a new frameرویه های انتقالی نسبت به یک قاب جدید5667248010.22080/cjms.2020.14987.1354ENHaticeTozakOsmangazi universityMustafaDedeDepartment of Mathematics, Kilis 7 Aralık University,
Kilis-TurkeyCumaliEkiciOsmangazi universityJournal Article20181021In this paper we studied the translation surfaces according to a new<br /> frame called q-frame in three dimensional Euclidean space. The curvatures<br /> of the translation surface are obtained in terms of q-frame curvatures.<br /> Finally some special cases are investigated for these surfaces.http://cjms.journals.umz.ac.ir/article_2480_5b55d6db36e0b314344e4f7884e3bfec.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Mathematical modeling of dynamics behavior of terrorism and controlمدلسازی ریاضی دینامیک رفتار تروریسم و کنترل6885247610.22080/cjms.2020.17348.1426ENAdamuGamboDepartment of Mathematics, University of Ilorin, Nigeria.Journal Article20191011Terrorism is generally understood to be the use of threat or extra normal violence to gain ideological reasons and personal benefit. In this paper, a mathematical modelling of terrorism with military strategies and rehabilitation of terrorists was constructed. The model is developed to control the spread of terrorist ideologies in the society and suitable to describe terrorist group. The population is divided into six compartments: $S(t)$, $I(t)$, $T(t)$, $T_L(t)$, $T_S(t)$ and $Q_T(t)$. Furthermore, the basic reproduction number, $R_0$ is also calculated if $R_0 < 1$ means the terror-organization is nearly eradicated and if $R_0 > 1$ means the number of terrorists are high where the terrorist are endemic to the population. The result of the sensitivity analysis shows that the most sensitive parameters is the recruitment pool of the terrorist from susceptible to moderate $(beta_{1})$ and terrorist move to detention facilities due to counter-terrorist activities $(b)$. The least parameter is the probability at which terrorist become militancy leaders $(kalpha)$. $(beta_{1})$ and $(b)$ are parameters counter terrorist need to be target. The finding shows that the military/dialogue strategies are to be used while military strategies alone should not be used if the number of terrorists is below a certain reproduction numberhttp://cjms.journals.umz.ac.ir/article_2476_72fa1b6bb38d7fe8ec7b8564d872a650.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Normal Fermi-Walker Derivative in $E_{1}^{3}$مشتقگیری فرمی-واکر نرمال در $E_{1}^{3}$8699249010.22080/cjms.2020.10693.1295ENOzgurKeskinAnkara UniversityYusufYayliAnkara UniversityJournal Article13950520In this paper, firstly, in $E_1^3$, we defined normal Fermi-Walker derivative and applied for the adapted frame. Normal Fermi-Walker parallelism, normal non-rotating frame, and Darboux vector expressions of normal Fermi-Walker derivative by normal Fermi-Walker derivative are given for adapted frame. Being conditions of normal Fermi-Walker derivative and normal non-rotating frame are examined for frames throughout spacelike, timelike, lightlike curves. It is shown that the vector field which takes part in [17] is normal Fermi-Walker parallel by the normal Fermi-Walker derivative throughout the spacelike, timelike, and lightlike general helix. Also, we show that the Frenet frame is a normal non-rotating frame using the normal Fermi-Walker derivative. Afterward, we testified that the adapted frame is a normal non-rotating frame throughout the spacelike, timelike, and lightlike general helix.http://cjms.journals.umz.ac.ir/article_2490_bf6090cca725e6f23c4d635166e9aebd.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Weighted composition operators between Lipschitz algebras of complex-valued bounded functionsعملگرهای ترکیبی موزون بین جبرهای لیپشیتس توابع کراندار مختلط-مقدار100123233710.22080/cjms.2019.16978.1409ENDavoodAlimohammadiDepartment of Mathematics, Faculty of Science, Arak UniversitySafouraDaneshmandDepartment of Mathematics, Faculty of Science, Arak UniversityJournal Article20190819In this paper, we study weighted composition operators between Lipschitz algebras of complex-valued bounded functions on metric spaces, not necessarily compact. We give necessary and sufficient conditions for the injectivity and the surjectivity of these operators. We also obtain sufficient and necessary conditions for a weighted composition operator between these spaces to be compact.http://cjms.journals.umz.ac.ir/article_2337_33b72caabbcfd7592a4f99ddaf4b3e3b.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101A Novel Successive Approximation Method for Solving a Class of Optimal Control Problemsیک روش تقریبی تکراری برای حل رده ای از مسائل کنترل بهینه124136233810.22080/cjms.2019.17346.1430ENMohammadShirazianDepartment of mathematics, Faculty of basic sciences, University of Neyshabur, Neyshabur, IRAN.SohrabEffatiDepartment of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.Journal Article20191015This paper presents a successive approximation method (SAM) for solving a large class of optimal control problems. The proposed analytical-approximate method, successively solves the Two-Point Boundary Value Problem (TPBVP), obtained from the Pontryagin's Maximum Principle (PMP). The convergence of this method is proved and a control design algorithm with low computational complexity is presented. Through the finite number of algorithm iterations, a suboptimal control law is obtained for the optimal control problem. An illustrative example is given to demonstrate the efficiency of the proposed method.http://cjms.journals.umz.ac.ir/article_2338_8a984bc82c508dfd01b36b9d00b5b1f1.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Weighted slant Toep-Hank Operatorsعملگرهای توپلیتز-هنک وزندار137150247810.22080/cjms.2020.13482.1331ENGopalDattDepartment of Mathematics,
PGDAV College, University of Delhi
Delhi-110065AnshikaMittalDepartment of Mathematics, University of Delhi, Delhi-110007, India.Journal Article20180117A $it{weighted~slant~Toep}$-$it{Hank}$ operator $L_{phi}^{beta}$ with symbol $phiin L^{infty}(beta)$ is an operator on $L^2(beta)$ whose representing matrix consists of all even (odd) columns from a weighted slant Hankel (slant weighted Toeplitz) matrix, $beta={beta_n}_{nin mathbb{Z}}$ be a sequence of positive numbers with $beta_0=1$. A matrix characterization for an operator to be $it{weighted~slant~Toep}$-$it{Hank}$ operator is also obtained.http://cjms.journals.umz.ac.ir/article_2478_a701bec85a2c904bea3f6460c2d40d5e.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72609120200101Starlike Functions of order $alpha$ With Respect To $2(j,k)$-Symmetric Conjugate Pointsتوابع ستاره گون از مرتبه $alpha$ نسبت به نقاط مزدوج $2(j,k)$-متقارن151158232310.22080/cjms.2019.12848.1324ENEbrahimAminiDepartment of Mathematics, Payme Noor University, P. O. Box 19395-4697 Tehran, IRANJournal Article20170904In this paper, we introduced and investigated starlike and convex functions of order α with respect to 2(j,k)-symmetric conjugate points and coefficient inequality for function belonging to these classes are provided . Also we obtain some convolution condition for functions belonging to this class.http://cjms.journals.umz.ac.ir/article_2323_8beabac4c13a036cbf903adb283e96e6.pdf