2011
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Bifurcation in a variational problem on a surface with a constraint
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We describe a variational problem on a surface under a constraintof geometrical character. Necessary and sufficient conditions for the existence ofbifurcation points are provided. In local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. The problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.
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10


P.
Viridis
Department of Informatics and Telecommunications, Kalamata Technological
Educational Institute, Branch of Sparta, 23100 Sparta, Greece.
Department of Informatics and Telecommunications,
Iran
Calculus of Variations
Bifurcation points
Critical points
Boundary Value Problem for a PDE with mean curvature
A new restructured HardyLittlewood's inequality
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2
In this paper, we reconstruct the HardyLittlewood’s inequality byusing the method of the weight coefficient and the technic of real analysis includinga 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
Department of Mathematics, Guangdong Education
Iran


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


Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece
Department of Mathematics, National Technical
Iran
HardyLittlewood’s inequality
weight coefficient
H¨older’s inequality
best constant factor
On the study of Hilberttype inequalities with multiparameters: a Survey
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In this paper, we provide a short account of the study of Hilberttypeinequalities during the past almost 100 years by introducing multiparametersand using the method of weight coefficients. A basic theorem of Hilberttypeinequalities with the homogeneous kernel of −−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
Department of Mathematics, Guangdong Education
Iran


Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece.
Department of Mathematics, National Technical
Iran
Hilberttype inequality
weight coefficient
parameter
kernel
operator
Application of the KalmanBucy filter in the stochastic differential equation for the modeling of RL circuit
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In this paper, we present an application of the stochastic calculusto the problem of modeling electrical networks. The filtering problem have animportant role in the theory of stochastic differential equations(SDEs). In thisarticle, we present an application of the continuous KalmanBucy filter for a RLcircuit. The deterministic model of the circuit is replaced by a stochastic model byadding a noise term in the source. The analytic solution of the resulting stochasticintegral equations are found using the Ito formula.
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41


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


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


E. B.
Jamkhaneh
Department of Mathematics, Islamic Azad University Ghaemshahr Branch,
Ghaemshahr, Iran.
Department of Mathematics, Islamic Azad University
Iran
Stochastic differential equation
white noise
KalmanBucy filter
Ito formula
analytic solution
HyersUlam stability of KFibonacci functional equation
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2
Let denote by Fk,n the nth kFibonacci number where Fk,n = kFk,n−1+Fk,n−2 for n 2 with initial conditions Fk,0 = 0, Fk,1 = 1, we may derive a functionalequation f(k, x) = kf(k, x − 1) + f(k, x − 2). In this paper, we solve thisequation and prove its HyereUlam stability in the class of functions f : N×R ! X,where X is a real Banach space.
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42
49


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


M.
Hosseini
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan,
Iran.
Department of Mathematics, Semnan University,
Iran
Stability
Fibonacci functional equation
On fixed point theorems in fuzzy metric spaces using a control function
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In this paper, we generalize Fuzzy Banach contraction theorem establishedby 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.
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57


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


J.N.
Salunke
School of Mathematical Sciences, North Maharashtra University, Jalgaon.
P.O. 425001, Fax02572257406, India
School of Mathematical Sciences, North Maharashtra
Iran
Topology
Analysis
Fuzzy metric space
Expansion semigroups in probabilistic metric spaces
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We present some new results on the existence and the approximationof common fixed point of expansive mappings and semigroups in probabilisticmetric spaces.
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58
66


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


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


I.
Tahiri
Departement, Oujda University, 60000 Oujda, Morocco.
Departement, Oujda University, 60000 Oujda,
Iran
Common fixed point
left reversible
complete probabilistic metric spaces
expansive conditions
Hermitian metric on quantum spheres
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The paper deal with noncommutative geometry. The notion of quantumspheres was introduced by podles. Here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.
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72


A.
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar,
Iran.
Department of Mathematics, Islamic Azad University
Iran
Quantum spaces
Quantum spheres
Hilbert module
Hermitian structure
Calgebra
Common fixed points of four maps using generalized weak contractivity and wellposedness
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In this paper, we introduce the concept of generalized contractivityof a pair of maps w.r.t. another pair. We establish a common fixed point result fortwo pairs of selfmappings, when one of these pairs is generalized contractionw.r.t. the other and study the wellposedness of their fixed point problem. Inparticular, our fixed point result extends the main result of a recent paper ofQingnian Zhang and Yisheng Song.
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81


M.
Akkouchi
Department of Mathematics, Faculty of SciencesSemlalia, University Cadi
Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).
Department of Mathematics, Faculty of SciencesSem
Iran
Common fixed point for four mappings
generalized −contractions
lower semicontinuity
weakly compatible mappings
wellposed common fixed point problem
A period 5 difference equation
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The main goal of this note is to introduce another secondorder differenceequation where every nontrivial solution is of minimal period 5, namelythe difference equation:xn+1 =1 + xn−1xnxn−1 − 1, n = 1, 2, 3, . . .with initial conditions x0 and x1 any real numbers such that x0x1 6= 1.
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84


W.A.J.
Kosmala
Department of Math. Sci., Appalachian State University, Boone, NC 28608, USA
Department of Math. Sci., Appalachian State
Iran
difference equation
periodicity
equilibrium points
convergence
Convergence theorems of multistep iterative algorithm with errors for generalized asymptotically quasinonexpansive mappings in Banach spaces
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The purpose of this paper is to study and give the necessary andsufficient condition of strong convergence of the multistep iterative algorithmwith errors for a finite family of generalized asymptotically quasinonexpansivemappings to converge to common fixed points in Banach spaces. Our resultsextend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8,11, 14, 19]).
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85
96


G.S.
Saluja
Department of Mathematics & Information Technology, Govt. Nagarjun P.G.
College of Science, Raipur (C.G.), India.
Department of Mathematics & Information Technology
Iran
Generalized asymptotically quasi–nonexpansive mapping
multi–step iterative algorithm with bounded errors
Common fixed point
Banach space
strong convergence
Bilinear Fourier integral operator and its boundedness
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We consider the bilinear Fourier integral operatorS(f, g)(x) =ZRdZRdei1(x,)ei2(x,)(x, , ) ˆ f()ˆg()d d,on modulation spaces. Our aim is to indicate this operator is well defined onS(Rd) and shall show the relationship between the bilinear operator and BFIO onmodulation spaces.
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97
102


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


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