2017-11-23T05:07:33Z
http://cjms.journals.umz.ac.ir/?_action=export&rf=summon&issue=221
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Approximate mixed additive and quadratic functional in 2-Banach spaces
S.
Eivani
S.
Ostadbashi
In the paper we establish the general solution of the function equation f(2x+y)+f(2x-y) = f(x+y)+f(x-y)+2f(2x)-2f(x) and investigate the Hyers-Ulam-Rassias stability of this equation in 2-Banach spaces.
Linear 2-normed space
Hyers-Ulam-Rassias
Quadratic function
Additive function
2015
12
01
167
173
http://cjms.journals.umz.ac.ir/article_856_43ea275b47d3be791cea4f57f0b14c98.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
On the $c_{0}$-solvability of a class of infinite systems of functional-integral equations
E.
Pourhadi
A.
Aghajani
In this paper, an existence result for a class of infinite systems of functional-integral equations in the Banach sequence space $c_{0}$ is established via the well-known Schauder fixed-point theorem together with a criterion of compactness in the space $c_{0}$. Furthermore, we include some remarks to show the vastity of the class of infinite systems which can be covered by our result. The applicability of the main result is demonstrated by means of an example as a model of neural nets.
Infinite system of functional-integral equations
Schauder fixed-point theorem
Sequence spaces
2015
12
31
175
181
http://cjms.journals.umz.ac.ir/article_1195_e3fab33b6556e4ac24b322ab6fdd80f5.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Spectrum Preserving Linear Maps Between Banach Algebras
A.
Taghavi
R.
Parvinianzadeh
In this paper we show that if A is a unital Banach algebra and B is a purely innite C*-algebra such that has a non-zero commutative maximal ideal and $phi:A rightarrow B$ is a unital surjective spectrum preserving linear map. Then $phi$ is a Jordan homomorphism.
Banach Algebra
C*-algebra
Jordan homomorphism
Linear Preserving
2015
12
31
183
187
http://cjms.journals.umz.ac.ir/article_680_ab49948f720fae6c217a7901014f18ae.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Exact solutions of (3 +1)-dimensional nonlinear evolution equations
N.
Kadkhoda
In this paper, the kudryashov method has been used for finding the general exact solutions of nonlinear evolution equations that namely the (3 + 1)-dimensional Jimbo-Miwa equation and the (3 + 1)-dimensional potential YTSF equation, when the simplest equation is the equation of Riccati.
kudryashov method
Jimbo-Miwa equation
Potential YTSF equation
Riccati equation
2015
12
31
189
195
http://cjms.journals.umz.ac.ir/article_1124_6fb0cd38cdc67b48485292984033318b.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Pointwise almost periodicity in a generalized shift dynamical system
F.
Ayatollah Zadeh Shirazi
M.
Miralaei
...
Almost periodic
Generalized shift
Periodic
Recurrent
2015
12
31
197
204
http://cjms.journals.umz.ac.ir/article_984_8a16947b87dcece32bd49b4791576867.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
A Recurrent Neural Network Model for Solving Linear Semidefinite Programming
S. M.
Mirhosseini Alizamini
A.
Malek
Gh.
Ahmadi
In this paper we solve a wide rang of Semidefinite Programming (SDP) Problem by using Recurrent Neural Networks (RNNs).
SDP is an important numerical tool for analysis and synthesis in systems and control theory. First we reformulate the problem to a linear programming problem, second we reformulate it to a first order system of ordinary differential equations.
Then a recurrent neural network model is proposed to compute related primal and dual solutions simultaneously.Illustrative examples are included to demonstrate the validity and applicability of the technique.
Semidefinite Programming
Primal-dual problems
Recurrent Neural Network
2015
12
31
205
213
http://cjms.journals.umz.ac.ir/article_1125_e8daf5f98964cefe13ede8678187429e.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
M.
Akbari
N.
Taghizadeh
In this paper, we establish exact solutions for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. The He’s semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations.
We apply He’s semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. Based on this formulation, a solitary solution can be easily obtained using the Ritz method. The Kudryashov method is used to construct exact solutions of the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system.
Moreover, it is observed that the suggested techniques are compatible with the physical nature of such problems.
He’s semi-inverse method
time-fractional Klein-Gordon equation
time-fractional Hirota-Satsuma coupled KdV system
2015
12
31
215
225
http://cjms.journals.umz.ac.ir/article_713_02f1ce16f3a362718d80302eda2840aa.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Biquaternions Lie Algebra and Complex-Projective Spaces
M.
Bekar
Y.
Yayli
.
Bicomplex numbers
Real quaternions
biquaternions (complexified quaternions)
Lie Group
lie algebra
complex-projective spaces
2015
12
31
227
240
http://cjms.journals.umz.ac.ir/article_560_715b1511205e82ff09b4c8ecc6cb47d1.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Dynamics of a discrete-time plant-herbivore model
T.
Azizi
R.
Mazrooei sebdani
Stability
Liapunov-Schmidt reduction
Manifold
Bifurcation
2015
12
31
241
256
http://cjms.journals.umz.ac.ir/article_1116_465b303ef1199213096b6e0d19005f45.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph
M.
Ozturk
E.
Girgin
Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. Some examples are presented to support the results proved herein. Our results generalized and extend various comparable results in the existing literature. Also, Also, Hardy- Rogers G-contractions have been introduced and some xed point theorems have been proved.
Connected graph
Fixed point
Φ-contraction
Hardy-Rogers contraction
2015
12
31
257
270
http://cjms.journals.umz.ac.ir/article_684_c0b6544fb395e8a26e9fd6f668315340.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2015
4
2
NILPOTENCY AND SOLUBILITY OF GROUPS RELATIVE TO AN AUTOMORPHISM
R.
barzegar
In this paper we introduce the concept of α-commutator which its definition is based on generalized conjugate classes. With this notion, α-nilpotent groups, α-solvable groups, nilpotency and solvability of groups related to the automorphism are defined. N(G) and S(G) are the set of all nilpotency classes and the set of all solvability classes for the group G with respect to different automorphisms of the group, respectively. If G is nilpotent or solvable with respect to the all its automorphisms, then is referred as it absolute nilpotent or solvable group.
Subsequently, N(G) and S(G) are obtained for certain groups. This work is a study of the nilpotency and solvability of the group G from the point of view of the automorphism which the nilpotent and solvable groups have been divided to smaller classes of the nilpotency and the solvability with respect to its automorphisms.
Nilpotent group
solvable group
automorphism
2015
12
31
271
283
http://cjms.journals.umz.ac.ir/article_824_4759576cb48aca7d4f224a1d86125532.pdf