Caspian Journal of Mathematical Sciences (CJMS)Caspian Journal of Mathematical Sciences (CJMS)
http://iranjournals.nlai.ir/1954/
Tue, 25 Feb 2020 12:23:31 +0100FeedCreatorCaspian Journal of Mathematical Sciences (CJMS)
http://iranjournals.nlai.ir/1954/
Feed provided by Caspian Journal of Mathematical Sciences (CJMS). Click to visit.Category of $H$-groups
http://iranjournals.nlai.ir/1954/article_666933_88107.html
This 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.Tue, 31 Dec 2019 20:30:00 +0100Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces
http://iranjournals.nlai.ir/1954/article_666934_88107.html
In 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 $mathbb{C}^n$.Tue, 31 Dec 2019 20:30:00 +0100A new idea for exact solving of the complex interval linear systems
http://iranjournals.nlai.ir/1954/article_666935_88107.html
In 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.Tue, 31 Dec 2019 20:30:00 +0100Translation surfaces according to a new frame
http://iranjournals.nlai.ir/1954/article_666936_88107.html
In this paper we studied the translation surfaces according to a new frame called q-frame in three dimensional Euclidean space. The curvatures of the translation surface are obtained in terms of q-frame curvatures. Finally some special cases are investigated for these surfaces.Tue, 31 Dec 2019 20:30:00 +0100Mathematical modeling of dynamics behavior of terrorism and control
http://iranjournals.nlai.ir/1954/article_666937_88107.html
Terrorism 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 numberTue, 31 Dec 2019 20:30:00 +0100Normal Fermi-Walker Derivative in E_{1}^{3}
http://iranjournals.nlai.ir/1954/article_666938_88107.html
In 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 cite {Beyhan(2016)} 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.Tue, 31 Dec 2019 20:30:00 +0100Weighted composition operators between Lipschitz algebras of complex-valued bounded functions
http://iranjournals.nlai.ir/1954/article_666939_88107.html
In 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.Tue, 31 Dec 2019 20:30:00 +0100A Novel Successive Approximation Method for Solving a Class of Optimal Control Problems
http://iranjournals.nlai.ir/1954/article_666940_88107.html
This 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.Tue, 31 Dec 2019 20:30:00 +0100Weighted slant Toep-Hank Operators
http://iranjournals.nlai.ir/1954/article_666941_88107.html
A $it{weighted~slant~Toep}$-$it{Hank}$ 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.Tue, 31 Dec 2019 20:30:00 +0100Starlike Functions of order α With Respect To 2(j,k)-Symmetric Conjugate Points
http://iranjournals.nlai.ir/1954/article_666942_88107.html
In 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.Tue, 31 Dec 2019 20:30:00 +0100