University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY
1
14
EN
A.
Ardjouni
Department of Mathematics, Faculty of Sciences, University of Annaba, P.O. Box 12
Annaba, Algeria
abd_ardjouni@yahoo.fr
A.
Djoudi
Department of Mathematics, Faculty of Sciences, University of Annaba, P.O. Box 12
Annaba, Algeria
Fixed point,large contraction,periodic solutions,totally nonlinear neutral differential equations
http://cjms.journals.umz.ac.ir/article_287.html
http://cjms.journals.umz.ac.ir/article_287_25302cc99192d5f15528d454589a4ff4.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
B-FOCAL CURVES OF BIHARMONIC B-GENERAL HELICES IN Heis
15
23
EN
T.
KÖRPINAR
Mus Alparslan University, Department of Mathematics
49250, Mus, TURKEY
talatkorpinar@gmail.com
E.
TURHAN
Firat University, Department of Mathematics
23119, Elazig, TURKEY
essin.turhan@gmail.com
In this paper, we study B-focal curves of biharmonic B -general helices according to Bishop frame in the Heisenberg group Heis Finally, we characterize the B-focal curves of biharmonic B- general helices in terms of Bishop frame in the Heisenberg group Heis
Biharmonic curve,Bishop frame,Heisenberg group,Parallel transport,Helix
http://cjms.journals.umz.ac.ir/article_426.html
http://cjms.journals.umz.ac.ir/article_426_2532ab9f6c4ad19ed8884a3d68866407.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
Numerical solution of nonlinear Hammerstein integral equations by using Legendre-Bernstein basis
25
37
EN
F.
Mirzaee
Department of Mathematics, Faculty of Science, Malayer University
fa_mirzaee@yahoo.com
S.
Fathi
Department of Mathematics, Faculty of Science, Malayer University
s@yahoo.com
In this study a numerical method is developed to solve the Hammerstein integral equations. To this end the kernel has been approximated using the leastsquares approximation schemes based on Legender-Bernstein basis. The Legender polynomials are orthogonal and these properties improve the accuracy of the approximations. Also the nonlinear unknown function has been approximated by using the Bernstein basis. The useful properties of Bernstein polynomials help us to transform Hammerstein integral equation to solve a system of nonlinear algebraic equations.
Nonlinear Hammerstein integral equations,Bernstein basis,Legendre basis,Orthogonal polynomials
http://cjms.journals.umz.ac.ir/article_477.html
http://cjms.journals.umz.ac.ir/article_477_9fe4fa2b02bfbf39e4a3749fea67fbd2.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
ψ-pseudomonotone generalized strong vector variational inequalities with application
39
45
EN
A
Amini Harandi
Department of Pure Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran
a.amini@sci.ui.ac.ir
In this paper, we establish an existence result of the solution for an generalized strong vector variational inequality already considered in the literature and as applications we obtain a new coincidence point theorem in Hilbert spaces.
Generalized strong vector variational inequality,-psedomonotone,Coincidence point,Nonexpansive mappings
http://cjms.journals.umz.ac.ir/article_485.html
http://cjms.journals.umz.ac.ir/article_485_faafffc5533e60965c05a5785ecebf95.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
Vertex Removable Cycles of Graphs and Digraphs
47
55
EN
A. B.
Attar
University of Thi-qar
College of Education for Pure Sciences
akramattar70@yahoo.com
A. A.
Sangoor
University of Thi-qar\
College of Education for Pure Sciences
In this paper we defined the vertex removable cycle in respect of the following, if $F$ is a class of graphs(digraphs) satisfying certain property, $G in F $, the cycle $C$ in $G$ is called vertex removable if $G-V(C)in in F $. The vertex removable cycles of eulerian graphs are studied. We also characterize the edge removable cycles of regular graphs(digraphs).
Vertex removable cycle,connected graph,Eulerian graph and regular graph
http://cjms.journals.umz.ac.ir/article_486.html
http://cjms.journals.umz.ac.ir/article_486_19839960a1aaed2f2a08003d87e3483e.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
Application of Daubechies wavelets for solving Kuramoto-Sivashinsky type equations
57
66
EN
A.
Davari
Department of Mathematics, University of Isfahan, Isfahan, Iran.
a_davari@sci.ui.ac.ir
M.
Torabi
Department of Mathematics, University of Isfahan, Isfahan, Iran.
orabi.mina521@gmail.com
We show how Daubechies wavelets are used to solve Kuramoto-Sivashinsky type equations with periodic boundary condition. Wavelet bases are used for numerical solution of the Kuramoto-Sivashinsky type equations by Galerkin method. The numerical results in comparison with the exact solution prove the efficiency and accuracy of our method.
Daubechies wavelets,Connection coefficients,Kuramoto-Sivashinsky type equations
http://cjms.journals.umz.ac.ir/article_489.html
http://cjms.journals.umz.ac.ir/article_489_09003ad2b2c235b24b1d86b41dbc85e1.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS
67
85
EN
M.
Heydari
Department of Mathematics,
Yazd University, Yazd-IRAN.
m.heydari85@gmail.com
G.B.
Loghmani
Yazd Univ
In this paper, we present two new families of third-order and fourth-order methods for finding multiple roots of nonlinear equations. Each of them requires one evaluation of the function and two of its first derivative per iteration. Several numerical examples are given to illustrate the performance of the presented methods.
Newtons method,Multiple roots,Iterative methods,Nonlinear equations,Order of
convergence,Root-finding
http://cjms.journals.umz.ac.ir/article_492.html
http://cjms.journals.umz.ac.ir/article_492_1b9fbf2ca8662e25f3a6b0d5e7db4d04.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
A RESULT ON FIXED POINTS FOR WEAKLY QUASI-CONTRACTION MAPS IN METRIC SPACES
87
90
EN
F.
Kiany
Faculty of Science, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
kiany@iauahvaz.ac.ir
In this paper, we give a new fixed point theorem forWeakly quasi-contraction maps in metric spaces. Our results extend and improve some fixed point and theorems in literature.
Fixed points,Weakly quasi- contraction maps
http://cjms.journals.umz.ac.ir/article_497.html
http://cjms.journals.umz.ac.ir/article_497_424997fe33dc1b4b3110d6be3364d9b4.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
Parallel Transport Frame in 4 -dimensional Euclidean Space
91
103
EN
F.
GÖKÇELIK
Department of Mathematics, Faculty of Science, University of Ankara Tandogan,
Ankara, TURKEY
fgokcelik@ankara.edu.tr
Z.
BOZKURT
Department of Mathematics, Faculty of Science, University of Ankara Tandogan,
Ankara, TURKEY
zbozkurt@ankara.edu.tr
I.
GÖK
Department of Mathematics, Faculty of Science, University of Ankara Tandogan,
Ankara, TURKEY
igok@science.ankara.edu.tr
N.
EKMEKCI
Department of Mathematics, Faculty of Science, University of Ankara Tandogan,
Ankara, TURKEY
ekmekci@science.ankara.edu.tr
Y.
YAYLI
Department of Mathematics, Faculty of Science, University of Ankara Tandogan,
Ankara, TURKEY
yyayli@science.ankara.edu.tr
In this work, we give parallel transport frame of a curve and we introduce the relations between the frame and Frenet frame of the curve in 4-dimensional Euclidean space. The relation which is well known in Euclidean 3-space is generalized for the
rst time in 4-dimensional Euclidean space. Then we obtain the condition for spherical curves using the parallel transport frame of them. The condition in terms of { and is so complicated but in terms of k1 and k2 is simple. So, parallel transport frame is important to make easy some complicated characterizations. Moreover, we characterize curves whose position vectors lie in their nor- mal, rectifying and osculating planes in 4-dimensional Euclidean space E4:
Euclidean 4-space,Parallel transport frame,Bishop frame,Normal
curve,Rectifying curve,Osculating curve
http://cjms.journals.umz.ac.ir/article_498.html
http://cjms.journals.umz.ac.ir/article_498_73f8d022f61f4fd6d31bc0c4b0d8bfb2.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations
105
113
EN
M.
Mahmoudi
1Institute for Higher Education Pooyandegandanesh, Chalus, Iran
2Islamic Azad University, Nowshahr, Iran
math.mahmoudi@yahoo.com
H.
Jafari
Department of Mathematics, University of Mazandaran, Babolsar, Iran
In this paper, we use modified Laplace decomposition method to solving initial value problems (IVP) of the second order ordinary differential equations. Theproposed method can be applied to linear and nonlinearproblems
Singular initial value problems,Laplace decomposition method,Adomian decomposition method
http://cjms.journals.umz.ac.ir/article_502.html
http://cjms.journals.umz.ac.ir/article_502_22afc105cabcea4b795365e4413a3280.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
On quasi-catenary modules
115
121
EN
S.
Asgari
Islamic Azad University, Mobarakeh Branch
Mobarakeh, Iran
samira.asgari.a@gmail.com
samira.asgari.a@gmail.com
We call a module M , quasi-catenary if for each pair of quasi-prime submodules K and L of M with K L all saturated chains of quasi-prime submodules of M from K to L have a common finite length. We show that any homomorphic image of a quasi-catenary module is quasi-catenary. We prove that if M is a module with following properties: (i) Every quasi-prime submodule of M has finite quasi-height; (ii) For every pair of K L of quasi-prime submodules ofM, q−height(L/K ) = q− height(L) − q − height(K); then M is quasi-catenary.
catenary module,quasi-prime submodule,quasi-catenary module
http://cjms.journals.umz.ac.ir/article_504.html
http://cjms.journals.umz.ac.ir/article_504_a6e0beabc2cc7a5bb342ec847d81b29f.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations
123
130
EN
H.
Esmaeili
Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
M.
Rostami
Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
m.rostami@basu.ac.ir
In this paper, we present a new modification of Chebyshev-Halley method, free from second derivatives, to solve nonlinear equations. The convergence analysis shows that our modification is third-order convergent. Every iteration of this method requires one function and two first derivative evaluations. So, its efficiency index is $3^{1/3}=1.442$ that is better than that of Newton method. Several numerical examples are given to illustrate the performance of the presented method.
Chebyshev-Halley method,Newton method,Nonlinear equations,Third-
order convergence
http://cjms.journals.umz.ac.ir/article_514.html
http://cjms.journals.umz.ac.ir/article_514_c160a8d4b7e0a92911cd3b1d4faaaca0.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations
131
139
EN
M. H.
Rahmani Doust
Department of Mathematics, University of Neyshabur, Neyshabur, Iran.
mh.rahmanidoust@neyshabur.ac.ir
F.
Haghighifar
Department of Mathematics, Qom University, Qom, Iran
f.haghighifar@yahoo.com
Some scientists are interesting to study in area of harvested ecological modelling. The harvested population dynamics is more realistic than other ecological models. In the present paper, some of the Lotka-Volterra predator-prey models have been considered. In the said models, existing species are harvested by constant or variable growth rates. The behavior of their solutions has been analyzed in the stability sense. The employed methods are linearization and Lyapunove function.
Harvested Factor,Lotka-Volterra model,Lyapunove Function,Stability
http://cjms.journals.umz.ac.ir/article_515.html
http://cjms.journals.umz.ac.ir/article_515_8976ae6d43ff79c22f8cafb9beeba1dd.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
3
1
2014
06
30
Sufficient Conditions for Density in Extended Lipschitz Algebras
141
151
EN
D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University,
Arak, 38156-8-8349, Iran
d-alimohammadi@araku.ac.ir
S.
Moradi
Department of Mathematics, Faculty of Science, Arak University,
Arak, 38156-8-8349, Iran
s-moradi@araku.ac.ir
Banach function algebra,Dense subspace,Extended Lipschitz algebra,Separation property
http://cjms.journals.umz.ac.ir/article_556.html
http://cjms.journals.umz.ac.ir/article_556_6a239a3405764d2b32544feae8b5e37e.pdf