University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
01
Approximate mixed additive and quadratic functional in 2-Banach spaces
167
173
EN
S.
Eivani
Urmia University
shirin.eivani@gmail.com
S.
Ostadbashi
Urmia University
s-ostadbashi@urmia.ac.ir
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
http://cjms.journals.umz.ac.ir/article_856.html
http://cjms.journals.umz.ac.ir/article_856_43ea275b47d3be791cea4f57f0b14c98.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
On the $c_{0}$-solvability of a class of infinite systems of functional-integral equations
175
181
EN
E.
Pourhadi
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran
epourhadi@iust.ac.ir
A.
Aghajani
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
aghajani@iust.ac.ir
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
http://cjms.journals.umz.ac.ir/article_1195.html
http://cjms.journals.umz.ac.ir/article_1195_e3fab33b6556e4ac24b322ab6fdd80f5.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
Spectrum Preserving Linear Maps Between Banach Algebras
183
187
EN
A.
Taghavi
Department of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
taghavi@umz.ac.ir
R.
Parvinianzadeh
Department of Mathematics, Faculty of Basic Sciences, Yasouj
University, P. O. Box 75918-74831, Yasouj, Iran.
r.parvinian@yu.ac.ir
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
http://cjms.journals.umz.ac.ir/article_680.html
http://cjms.journals.umz.ac.ir/article_680_ab49948f720fae6c217a7901014f18ae.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
Exact solutions of (3 +1)-dimensional nonlinear evolution equations
189
195
EN
N.
Kadkhoda
Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr
University of Qaenat, Qaenat, Iran
n_kadkhoda@yahoo.com
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
http://cjms.journals.umz.ac.ir/article_1124.html
http://cjms.journals.umz.ac.ir/article_1124_6fb0cd38cdc67b48485292984033318b.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
Pointwise almost periodicity in a generalized shift dynamical system
197
204
EN
F.
Ayatollah Zadeh Shirazi
Faculty of Math., Stat. and Computer Science, College of Science, University of Tehran, Tehran, Iran
fatemah@khayam.ut.ac.ir
M.
Miralaei
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran
m.miralaei@math.iut.ac.ir
...
Almost periodic,Generalized shift,Periodic,Recurrent
http://cjms.journals.umz.ac.ir/article_984.html
http://cjms.journals.umz.ac.ir/article_984_8a16947b87dcece32bd49b4791576867.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
A Recurrent Neural Network Model for Solving Linear Semidefinite Programming
205
213
EN
S. M.
Mirhosseini Alizamini
Department of Mathematics, Payame Noor University, Tehran, Iran
seyedmehdi_mirhosseini@yahoo.com
A.
Malek
Department of Applied Mathematics, faculty of Mathematical Sciences,Tarbiat Modares University, Tehrasn, Iran
mala@modares.ac.ir
Gh.
Ahmadi
Department of Mathematics, Payame Noor University, Tehran, Iran
g.ahmadi@phd.pnu.ac.ir
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
http://cjms.journals.umz.ac.ir/article_1125.html
http://cjms.journals.umz.ac.ir/article_1125_e8daf5f98964cefe13ede8678187429e.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
215
225
EN
M.
Akbari
University of Guilan
m_akbari@guilan.ac.ir
N.
Taghizadeh
University of Guilan
taghizadeh@guilan.ac.ir
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
http://cjms.journals.umz.ac.ir/article_713.html
http://cjms.journals.umz.ac.ir/article_713_02f1ce16f3a362718d80302eda2840aa.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
Biquaternions Lie Algebra and Complex-Projective Spaces
227
240
EN
M.
Bekar
Konya Necmettin Erbakan University
murat-bekar@hotmail.com
Y.
Yayli
Ankara University
yayli@science.ankara.edu.tr
.
Bicomplex numbers,Real quaternions,biquaternions (complexified quaternions),lie group,lie algebra,complex-projective spaces
http://cjms.journals.umz.ac.ir/article_560.html
http://cjms.journals.umz.ac.ir/article_560_715b1511205e82ff09b4c8ecc6cb47d1.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
Dynamics of a discrete-time plant-herbivore model
241
256
EN
T.
Azizi
Department of Mathematical Sciences, Isfahan University of Technology
t.azizi@math.iut.ac.ir
R.
Mazrooei sebdani
Assistant Professor of Dynamical Systems Department of Mathematical Sciences
mazrooei@cc.iut.ac.ir
Stability,Liapunov-Schmidt reduction,Manifold,Bifurcation
http://cjms.journals.umz.ac.ir/article_1116.html
http://cjms.journals.umz.ac.ir/article_1116_465b303ef1199213096b6e0d19005f45.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph
257
270
EN
M.
Ozturk
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
mahpeykero@sakarya.edu.tr
E.
Girgin
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
girginekber@hotmail.com
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
http://cjms.journals.umz.ac.ir/article_684.html
http://cjms.journals.umz.ac.ir/article_684_c0b6544fb395e8a26e9fd6f668315340.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
4
2
2015
12
31
NILPOTENCY AND SOLUBILITY OF GROUPS RELATIVE TO AN AUTOMORPHISM
271
283
EN
R.
barzegar
Department of mathematics, Sari Branch, Islamic Azad University, Sari, Iran
ro.gbps@gmail.com
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
http://cjms.journals.umz.ac.ir/article_824.html
http://cjms.journals.umz.ac.ir/article_824_4759576cb48aca7d4f224a1d86125532.pdf