2011
2
1
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1

Bifurcation in a variational problem on a surface with a constraint
https://ijnaa.semnan.ac.ir/article_51.html
10.22075/ijnaa.2011.51
1
We describe a variational problem on a surface under a constraint of geometrical character. Necessary and sufficient conditions for the existence of bifurcation points are provided. In local coordinates, the problem corresponds to a quasilinear elliptic boundary value problem. The problem can be considered as a physical model for several applications referring to continuum medium and membranes.
0

1
10


P.
Viridis
Department of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, Greece
Greece
Calculus of Variations
Bifurcation points
Critical points
Boundary Value Problem for a PDE with mean curvature
1

A new restructured HardyLittlewood's inequality
https://ijnaa.semnan.ac.ir/article_53.html
10.22075/ijnaa.2011.53
1
In this paper, we reconstruct HardyLittlewood’s inequality by using the method of the weight coefficient and the technic of real analysis including a best constant factor. An open problem is raised.
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11
20


B.
Yang
Department of Mathematics, Guangdong Education Institute, and Guangzhou,
Guangdong 510303, P. R. China
China


G. M.
Rassias
Zagoras St. Paradissos, Amaroussion 15125 Athens, Greece
Greece


Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece
Greece
HardyLittlewood’s inequality
weight coefficient
Holder’s inequality
best constant factor
1

On the study of Hilberttype inequalities with multiparameters: a Survey
https://ijnaa.semnan.ac.ir/article_90.html
10.22075/ijnaa.2011.90
1
In this paper, we provide a short account of the study of Hilberttype inequalities during the past almost 100 years by introducing multiparameters and using the method of weight coefficients. A basic theorem of Hilberttype inequalities with the homogeneous kernel of −$lambda$−degree and parameters is proved.
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21
34


B.
Yang
Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong
510303, P. R. China
China


Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece
Greece
Hilberttype inequality
weight coefficient
parameter
kernel
operator
1

Application of the KalmanBucy filter in the stochastic differential equation for the modeling of RL circuit
https://ijnaa.semnan.ac.ir/article_93.html
10.22075/ijnaa.2011.93
1
In this paper, we present an application of the stochastic calculus to the problem of modeling electrical networks. The filtering problem have an important role in the theory of stochastic differential equations(SDEs). In this article, we present an application of the continuous KalmanBucy filter for an RL circuit. The deterministic model of the circuit is replaced by a stochastic model by adding a noise term in the source. The analytic solution of the resulting stochastic integral equations are found using the Ito formula.
0

35
41


R.
Rezaeyan
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.
Iran


R.
Farnoush
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.
Iran


E. B.
Jamkhaneh
Department of Mathematics, Islamic Azad University Ghaemshahr Branch,
Ghaemshahr, Iran.
Iran
Stochastic differential equation
white noise
KalmanBucy filter
Ito formula
analytic solution
1

HyersUlam stability of KFibonacci functional equation
https://ijnaa.semnan.ac.ir/article_95.html
10.22075/ijnaa.2011.95
1
Let denote by $F_{k,n}$ the $n^{th}$ $k$Fibonacci number where $F_{k,n} = kF_{k,n1}+ F_{k,n2}$ for $ngeq 2$ with initial conditions $F_{k,0} = 0, F_{k,1} = 1$, we may derive a functional equation $f(k, x) = kf(k, x − 1) + f(k, x − 2)$. In this paper, we solve this equation and prove its HyereUlam stability in the class of functions $f : mathbb{N}timesmathbb{R}to X$, where $X$ is a real Banach space.
0

42
49


M.
Bidkham
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan,
Iran.
Iran


M.
Hosseini
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan,
Iran.
Iran
stability
Fibonacci functional equation
1

On fixed point theorems in fuzzy metric spaces using a control function
https://ijnaa.semnan.ac.ir/article_98.html
10.22075/ijnaa.2011.98
1
In this paper, we generalize Fuzzy Banach contraction theorem established by V. Gregori and A. Sapena [Fuzzy Sets and Systems 125 (2002) 245252] using notion of altering distance which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(1984), 19] in metric spaces.
0

50
57


C.T.
Aage
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax02572257406, India
India


J.N.
Salunke
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax02572257406, India
India
Topology
Analysis
Fuzzy metric space
1

Expansion semigroups in probabilistic metric spaces
https://ijnaa.semnan.ac.ir/article_100.html
10.22075/ijnaa.2011.100
1
We present some new results on the existence and the approximation of common fixed point of expansive mappings and semigroups in probabilistic metric spaces.
0

58
66


A.
Mbarki
National school of Applied Sciences, P.O. Box 669, Oujda University, Morocco
Morocco


A.
Ouahab
Departement, Oujda University, 60000 Oujda, Morocco.
Morocco


I.
Tahiri
Departement, Oujda University, 60000 Oujda, Morocco.
Morocco
Common fixed point
left reversible
complete probabilistic metric spaces
expansive conditions
1

Hermitian metric on quantum spheres
https://ijnaa.semnan.ac.ir/article_101.html
10.22075/ijnaa.2011.101
1
The paper deal with noncommutative geometry. The notion of quantum spheres was introduced by Podles. Here we define the quantum hermitian metric on the quantum spaces and find it for the quantum spheres.
0

67
72


A.
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar,
Iran.
Iran
Quantum spaces
Quantum spheres
Hilbert module
Hermitian structure
C*algebra
1

Common fixed points of four maps using generalized weak contractivity and wellposedness
https://ijnaa.semnan.ac.ir/article_103.html
10.22075/ijnaa.2011.103
1
In this paper, we introduce the concept of generalized $phi$contractivity of a pair of maps w.r.t. another pair. We establish a common fixed point result for two pairs of selfmappings, when one of these pairs is generalized $phi$contraction w.r.t. the other and study the wellposedness of their fixed point problem. In particular, our fixed point result extends the main result of a recent paper by Qingnian Zhang and Yisheng Song.
0

73
81


M.
Akkouchi
Department of Mathematics, Faculty of SciencesSemlalia, University Cadi
Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).
Morocco
Common fixed point for four mappings
generalized $phi$−contractions
lower semicontinuity
weakly compatible mappings
wellposed common fixed point problem
1

A period 5 difference equation
https://ijnaa.semnan.ac.ir/article_107.html
10.22075/ijnaa.2011.107
1
The main goal of this note is to introduce another secondorder difference equation where every nontrivial solution is of minimal period 5, namely the difference equation:$$x_{n+1} =frac{1 + x_{n−1}}{x_nx_{n−1} − 1}, n = 1, 2, 3, . . .$$with initial conditions $x_0$ and $x_1$ any real numbers such that $x_0x_1 neq 1$.
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82
84


W.A.J.
Kosmala
Department of Math. Sci., Appalachian State University, Boone, NC 28608, USA
United States
difference equation
periodicity
equilibrium points
convergence
1

Convergence theorems of multistep iterative algorithm with errors for generalized asymptotically quasinonexpansive mappings in Banach spaces
https://ijnaa.semnan.ac.ir/article_108.html
10.22075/ijnaa.2011.108
1
The purpose of this paper is to study and give the necessary and sufficient condition of strong convergence of the multistep iterative algorithm with errors for a finite family of generalized asymptotically quasinonexpansive mappings to converge to common fixed points in Banach spaces. Our results extend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8, 11, 14, 19]).
0

85
96


G.S.
Saluja
Department of Mathematics & Information Technology, Govt. Nagarjun P.G.
College of Science, Raipur (C.G.), India
India
Generalized asymptotically quasi–nonexpansive mapping
multistep iterative algorithm with bounded errors
Common fixed point
Banach space
strong convergence
1

Bilinear Fourier integral operator and its boundedness
https://ijnaa.semnan.ac.ir/article_109.html
10.22075/ijnaa.2011.109
1
We consider the bilinear Fourier integral operator$$S_sigma(f,g)=int_{mathbb{R}^d}int_{mathbb{R}^d}e^{iphi_1(x,xi)}e^{iphi_2(x,eta)}sigma(x,xi,eta)hat{f}(xi)hat{g}(eta)dxi deta$$on modulation spaces. Our aim is to indicate this operator is well defined on $S(mathbb{R}^d)$ and shall show the relationship between the bilinear operator and BFIO on modulation spaces.
0

97
102


M.
Alimohammady
Department of mathematics, University of Mazandaran, babolsar, Iran.
Iran


F.
Fattahi
Department of mathematics, University of Mazandaran, babolsar, Iran.
Iran
Fourier integral operator
boundedness
modulation spaces