2017-11-23T05:09:42Z
http://cjms.journals.umz.ac.ir/?_action=export&rf=summon&issue=147
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY
A.
Ardjouni
A.
Djoudi
Fixed point
large contraction
periodic solutions
totally nonlinear neutral differential equations
2014
06
30
1
14
http://cjms.journals.umz.ac.ir/article_287_25302cc99192d5f15528d454589a4ff4.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
B-FOCAL CURVES OF BIHARMONIC B-GENERAL HELICES IN Heis
T.
KÖRPINAR
E.
TURHAN
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
2014
06
30
15
23
http://cjms.journals.umz.ac.ir/article_426_2532ab9f6c4ad19ed8884a3d68866407.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
Numerical solution of nonlinear Hammerstein integral equations by using Legendre-Bernstein basis
F.
Mirzaee
S.
Fathi
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
2014
06
30
25
37
http://cjms.journals.umz.ac.ir/article_477_9fe4fa2b02bfbf39e4a3749fea67fbd2.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
ψ-pseudomonotone generalized strong vector variational inequalities with application
A
Amini Harandi
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
2014
06
30
39
45
http://cjms.journals.umz.ac.ir/article_485_faafffc5533e60965c05a5785ecebf95.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
Vertex Removable Cycles of Graphs and Digraphs
A. B.
Attar
A. A.
Sangoor
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
2014
06
30
47
55
http://cjms.journals.umz.ac.ir/article_486_19839960a1aaed2f2a08003d87e3483e.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
Application of Daubechies wavelets for solving Kuramoto-Sivashinsky type equations
A.
Davari
M.
Torabi
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
2014
06
30
57
66
http://cjms.journals.umz.ac.ir/article_489_09003ad2b2c235b24b1d86b41dbc85e1.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS
M.
Heydari
G.B.
Loghmani
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
2014
06
30
67
85
http://cjms.journals.umz.ac.ir/article_492_1b9fbf2ca8662e25f3a6b0d5e7db4d04.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
A RESULT ON FIXED POINTS FOR WEAKLY QUASI-CONTRACTION MAPS IN METRIC SPACES
F.
Kiany
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
2014
06
30
87
90
http://cjms.journals.umz.ac.ir/article_497_424997fe33dc1b4b3110d6be3364d9b4.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
Parallel Transport Frame in 4 -dimensional Euclidean Space
F.
GÖKÇELIK
Z.
BOZKURT
I.
GÖK
N.
EKMEKCI
Y.
YAYLI
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
2014
06
30
91
103
http://cjms.journals.umz.ac.ir/article_498_73f8d022f61f4fd6d31bc0c4b0d8bfb2.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations
M.
Mahmoudi
H.
Jafari
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
2014
06
30
105
113
http://cjms.journals.umz.ac.ir/article_502_22afc105cabcea4b795365e4413a3280.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
On quasi-catenary modules
S.
Asgari
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
2014
06
30
115
121
http://cjms.journals.umz.ac.ir/article_504_a6e0beabc2cc7a5bb342ec847d81b29f.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations
H.
Esmaeili
M.
Rostami
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
2014
06
30
123
130
http://cjms.journals.umz.ac.ir/article_514_c160a8d4b7e0a92911cd3b1d4faaaca0.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations
M. H.
Rahmani Doust
F.
Haghighifar
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
2014
06
30
131
139
http://cjms.journals.umz.ac.ir/article_515_8976ae6d43ff79c22f8cafb9beeba1dd.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2014
3
1
Sufficient Conditions for Density in Extended Lipschitz Algebras
D.
Alimohammadi
S.
Moradi
Banach function algebra
Dense subspace
Extended Lipschitz algebra
Separation property
2014
06
30
141
151
http://cjms.journals.umz.ac.ir/article_556_6a239a3405764d2b32544feae8b5e37e.pdf