University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
5
2
2016
10
01
Carter–Penrose diagrams and differential spaces
47
53
EN
Krzysztof
Drachal
Faculty of Mathematics and Information Science
Warsaw University of Technology, Poland
k.drachal@mini.pw.edu.pl
10.22080/cjms.2017.1630
In this paper it is argued that a Carter–Penrose diagram can be viewed as a differential space.
Carter–Penrose diagram,Conformal diagram,Differential spaces
http://cjms.journals.umz.ac.ir/article_1630.html
http://cjms.journals.umz.ac.ir/article_1630_be06a4b7c8df9de007d8c0757b4aab9c.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
5
2
2016
10
01
Special Bertrand Curves in semi-Euclidean space E4^2 and their Characterizations
54
67
EN
Faik
BABADAG
Kırıkkale Unıversty
faik.babadag@kku.edu.tr
10.22080/cjms.2017.1632
In [14] Matsuda and Yorozu.explained that there is no special Bertrand curves in Eⁿ and they new kind of Bertrand curves called (1,3)-type Bertrand curves Euclidean space. In this paper , by using the similar methods given by Matsuda and Yorozu [14], we obtain that bitorsion of the quaternionic curve is not equal to zero in semi-Euclidean space E4^2. Obtain (N,B2) type quaternionic Bertrand curves by means of the {κ,τ,(σ-ε_{t}ε_{T}ε_{N}κ)} functions of the curves in E4^2.
Semi-Euclidean spaces,Quaternionic frame,Quaternionic,Bertrand curves
http://cjms.journals.umz.ac.ir/article_1632.html
http://cjms.journals.umz.ac.ir/article_1632_2994a402a942b5f3e9e976c8bfc69a0f.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
5
2
2017
01
03
Impulsive integrodifferential Equations and Measure of noncompactness
68
84
EN
Alireza
Valipour Baboli
Department of Mathematics, College of Basic Sciences, Karaj Branch,
Islamic Azad Univercity, Alborz, Iran.
a.valipour@umz.ac.ir
M.B.
Ghaemi
Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad Univercity, Alborz, Iran.
mghaemi@iust.ac.ir
10.22080/cjms.2017.1634
This paper is concerned with the existence of mild solutions for impulsive integro-differential equations with nonlocal conditions. We apply the technique measure of noncompactness in the space of piecewise continuous functions and by using Darbo-Sadovskii's fixed point theorem, we prove reasults about impulsive integro-differential equations for convex-power condensing operators.
Impulsive integrodifferential equations,nonlocal conditions,Hausdorff measure of noncompactness,fixed point theorem,convex-power condensing map
http://cjms.journals.umz.ac.ir/article_1634.html
http://cjms.journals.umz.ac.ir/article_1634_e8eb18b21a9f45fe9124e50b2a6d894c.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
5
2
2016
10
01
Anti-synchronization and synchronization of T-system
85
97
EN
Bashir
Naderi
Department of Mathematics, Payame Noor University, POBOX 19395-3697 Tehran, Iran
b_naderi@pnu.ac.ir
Hossein
Kheiri
University of Tabriz, Tabriz, Iran
h-kheiri@tabrizu.ac.ir
Aghileh
Heydari
Department of Mathematics, Payame Noor University, I. R. of Iran
a_heidari@pnu.ac.ir
10.22080/cjms.2016.1661
In this paper, we discuss the synchronization and anti-synchronization of two identical chaotic T-systems. The adaptive and nonlinear control schemes are used for the synchronization and anti-synchronization. The stability of these schemes is derived by Lyapunov Stability Theorem. Firstly, the synchronization and anti-synchronization are applied to systems with known parameters, then to systems in which the drive and response systems have one unknown parameter. Numerical simulations show the effectiveness and feasibility of the proposed methods.
Lyapunov stability,Chaos,Control,Anti-Synchronization,Synchronization
http://cjms.journals.umz.ac.ir/article_1661.html
http://cjms.journals.umz.ac.ir/article_1661_67c5ef899710d02fd42d5ba6ad0b6a6a.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
5
2
2016
10
01
Some Results for the Jacobi-Dunkl Transform in the Space $L^{p}(mathbb{R},A_{alpha,beta}(x)dx)$
98
105
EN
S.
El ouadih
Department of Mathematics, Faculty of Sciences A¨ın Chock, University Hassan II, Casablanca, Morocco
salahwadih@gmail.com
R.
Daher
Department of Mathematics, Faculty of Sciences A¨ın Chock, University Hassan II, Casablanca, Morocco
10.22080/cjms.2017.1631
In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the Lipschitz Jacobi-Dunkl condition in the space Lp.
Jacobi-Dunkl operator,Jacobi-Dunkl transform,generalized Jacobi- Dunkl translation
http://cjms.journals.umz.ac.ir/article_1631.html
http://cjms.journals.umz.ac.ir/article_1631_77f108f2dc8bdc10d01f80291334a83d.pdf