ORIGINAL_ARTICLE
Approximate mixed additive and quadratic functional in 2-Banach spaces
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.
http://cjms.journals.umz.ac.ir/article_856_43ea275b47d3be791cea4f57f0b14c98.pdf
2015-12-01T11:23:20
2018-11-20T11:23:20
167
173
Linear 2-normed space
Hyers-Ulam-Rassias
Quadratic function
Additive function
S.
Eivani
shirin.eivani@gmail.com
true
1
Urmia University
Urmia University
Urmia University
LEAD_AUTHOR
S.
Ostadbashi
s-ostadbashi@urmia.ac.ir
true
2
Urmia University
Urmia University
Urmia University
AUTHOR
ORIGINAL_ARTICLE
On the $c_{0}$-solvability of a class of infinite systems of functional-integral equations
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.
http://cjms.journals.umz.ac.ir/article_1195_e3fab33b6556e4ac24b322ab6fdd80f5.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
175
181
Infinite system of functional-integral equations
Schauder fixed-point theorem
Sequence spaces
E.
Pourhadi
epourhadi@iust.ac.ir
true
1
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran
LEAD_AUTHOR
A.
Aghajani
aghajani@iust.ac.ir
true
2
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Spectrum Preserving Linear Maps Between Banach Algebras
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.
http://cjms.journals.umz.ac.ir/article_680_ab49948f720fae6c217a7901014f18ae.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
183
187
Banach Algebra
C*-algebra
Jordan homomorphism
Linear Preserving
A.
Taghavi
taghavi@umz.ac.ir
true
1
Department of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
Department of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
Department of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
LEAD_AUTHOR
R.
Parvinianzadeh
r.parvinian@yu.ac.ir
true
2
Department of Mathematics, Faculty of Basic Sciences, Yasouj
University, P. O. Box 75918-74831, Yasouj, Iran.
Department of Mathematics, Faculty of Basic Sciences, Yasouj
University, P. O. Box 75918-74831, Yasouj, Iran.
Department of Mathematics, Faculty of Basic Sciences, Yasouj
University, P. O. Box 75918-74831, Yasouj, Iran.
AUTHOR
ORIGINAL_ARTICLE
Exact solutions of (3 +1)-dimensional nonlinear evolution equations
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.
http://cjms.journals.umz.ac.ir/article_1124_6fb0cd38cdc67b48485292984033318b.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
189
195
kudryashov method
Jimbo-Miwa equation
Potential YTSF equation
Riccati equation
N.
Kadkhoda
n_kadkhoda@yahoo.com
true
1
Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr
University of Qaenat, Qaenat, Iran
Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr
University of Qaenat, Qaenat, Iran
Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr
University of Qaenat, Qaenat, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Pointwise almost periodicity in a generalized shift dynamical system
...
http://cjms.journals.umz.ac.ir/article_984_8a16947b87dcece32bd49b4791576867.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
197
204
Almost periodic
Generalized shift
Periodic
Recurrent
F.
Ayatollah Zadeh Shirazi
fatemah@khayam.ut.ac.ir
true
1
Faculty of Math., Stat. and Computer Science, College of Science, University of Tehran, Tehran, Iran
Faculty of Math., Stat. and Computer Science, College of Science, University of Tehran, Tehran, Iran
Faculty of Math., Stat. and Computer Science, College of Science, University of Tehran, Tehran, Iran
LEAD_AUTHOR
M.
Miralaei
m.miralaei@math.iut.ac.ir
true
2
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran
AUTHOR
ORIGINAL_ARTICLE
A Recurrent Neural Network Model for Solving Linear Semidefinite Programming
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.
http://cjms.journals.umz.ac.ir/article_1125_e8daf5f98964cefe13ede8678187429e.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
205
213
Semidefinite Programming
Primal-dual problems
Recurrent Neural Network
S. M.
Mirhosseini Alizamini
seyedmehdi_mirhosseini@yahoo.com
true
1
Department of Mathematics, Payame Noor University, Tehran, Iran
Department of Mathematics, Payame Noor University, Tehran, Iran
Department of Mathematics, Payame Noor University, Tehran, Iran
LEAD_AUTHOR
A.
Malek
mala@modares.ac.ir
true
2
Department of Applied Mathematics, faculty of Mathematical Sciences,Tarbiat Modares University, Tehrasn, Iran
Department of Applied Mathematics, faculty of Mathematical Sciences,Tarbiat Modares University, Tehrasn, Iran
Department of Applied Mathematics, faculty of Mathematical Sciences,Tarbiat Modares University, Tehrasn, Iran
AUTHOR
Gh.
Ahmadi
g.ahmadi@phd.pnu.ac.ir
true
3
Department of Mathematics, Payame Noor University, Tehran, Iran
Department of Mathematics, Payame Noor University, Tehran, Iran
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
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.
http://cjms.journals.umz.ac.ir/article_713_02f1ce16f3a362718d80302eda2840aa.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
215
225
He’s semi-inverse method
time-fractional Klein-Gordon equation
time-fractional Hirota-Satsuma coupled KdV system
M.
Akbari
m_akbari@guilan.ac.ir
true
1
University of Guilan
University of Guilan
University of Guilan
LEAD_AUTHOR
N.
Taghizadeh
taghizadeh@guilan.ac.ir
true
2
University of Guilan
University of Guilan
University of Guilan
AUTHOR
ORIGINAL_ARTICLE
Biquaternions Lie Algebra and Complex-Projective Spaces
.
http://cjms.journals.umz.ac.ir/article_560_715b1511205e82ff09b4c8ecc6cb47d1.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
227
240
Bicomplex numbers
Real quaternions
biquaternions (complexified quaternions)
Lie Group
lie algebra
complex-projective spaces
M.
Bekar
murat-bekar@hotmail.com
true
1
Konya Necmettin Erbakan University
Konya Necmettin Erbakan University
Konya Necmettin Erbakan University
LEAD_AUTHOR
Y.
Yayli
yayli@science.ankara.edu.tr
true
2
Ankara University
Ankara University
Ankara University
AUTHOR
ORIGINAL_ARTICLE
Dynamics of a discrete-time plant-herbivore model
http://cjms.journals.umz.ac.ir/article_1116_465b303ef1199213096b6e0d19005f45.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
241
256
Stability
Liapunov-Schmidt reduction
Manifold
Bifurcation
T.
Azizi
t.azizi@math.iut.ac.ir
true
1
Department of Mathematical Sciences, Isfahan University of Technology
Department of Mathematical Sciences, Isfahan University of Technology
Department of Mathematical Sciences, Isfahan University of Technology
LEAD_AUTHOR
R.
Mazrooei sebdani
mazrooei@cc.iut.ac.ir
true
2
Assistant Professor of Dynamical Systems Department of Mathematical Sciences
Assistant Professor of Dynamical Systems Department of Mathematical Sciences
Assistant Professor of Dynamical Systems Department of Mathematical Sciences
AUTHOR
ORIGINAL_ARTICLE
Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph
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.
http://cjms.journals.umz.ac.ir/article_684_c0b6544fb395e8a26e9fd6f668315340.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
257
270
Connected graph
Fixed point
Φ-contraction
Hardy-Rogers contraction
M.
Ozturk
mahpeykero@sakarya.edu.tr
true
1
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
LEAD_AUTHOR
E.
Girgin
girginekber@hotmail.com
true
2
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
Sakarya University,Department of Mathematics, 54187, Sakarya,
Turkey
AUTHOR
ORIGINAL_ARTICLE
NILPOTENCY AND SOLUBILITY OF GROUPS RELATIVE TO AN AUTOMORPHISM
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.
http://cjms.journals.umz.ac.ir/article_824_4759576cb48aca7d4f224a1d86125532.pdf
2015-12-31T11:23:20
2018-11-20T11:23:20
271
283
Nilpotent group
solvable group
automorphism
R.
barzegar
ro.gbps@gmail.com
true
1
Department of mathematics, Sari Branch, Islamic Azad University, Sari, Iran
Department of mathematics, Sari Branch, Islamic Azad University, Sari, Iran
Department of mathematics, Sari Branch, Islamic Azad University, Sari, Iran
LEAD_AUTHOR