eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
1
10
10.22075/ijnaa.2011.51
51
Bifurcation in a variational problem on a surface with a constraint
P. Viridis
1
Department of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, Greece.
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.
http://ijnaa.semnan.ac.ir/article_51_6402a2cb6d6385a02406d633a6a81f69.pdf
Calculus of Variations
Bifurcation points
Critical points
Boundary
Value Problem for a PDE with mean curvature
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
11
20
10.22075/ijnaa.2011.53
53
A new restructured Hardy-Littlewood's inequality
B. Yang
1
G. M. Rassias
2
Th. M. Rassias
3
Department of Mathematics, Guangdong Education Institute, and Guangzhou, Guangdong 510303, P. R. China
Zagoras St. Paradissos, Amaroussion 15125 Athens, Greece
Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece
In this paper, we reconstruct the Hardy-Littlewood’s inequality byusing the method of the weight coefficient and the technic of real analysis includinga best constant factor. An open problem is raised.
http://ijnaa.semnan.ac.ir/article_53_363fa8cc9693e77e20a8a504b51ff522.pdf
Hardy-Littlewood’s inequality
weight coefficient
H¨older’s inequality
best constant factor
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
21
34
10.22075/ijnaa.2011.90
90
On the study of Hilbert-type inequalities with multi-parameters: a Survey
B. Yang
1
Th. M. Rassias
2
Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong 510303, P. R. China
Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece.
In this paper, we provide a short account of the study of Hilbert-typeinequalities during the past almost 100 years by introducing multi-parametersand using the method of weight coefficients. A basic theorem of Hilbert-typeinequalities with the homogeneous kernel of −−degree and parameters is proved.
http://ijnaa.semnan.ac.ir/article_90_c69b881045b167653f22f839c14a54f8.pdf
Hilbert-type inequality
weight coefficient
parameter
kernel
operator
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
35
41
10.22075/ijnaa.2011.93
93
Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit
R. Rezaeyan
1
R. Farnoush
2
E. B. Jamkhaneh
3
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Sciences and Research Branch, Tehran, Iran.
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Sciences and Research Branch, Tehran, Iran.
Department of Mathematics, Islamic Azad University Ghaemshahr Branch, Ghaemshahr, Iran.
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 Kalman-Bucy 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.
http://ijnaa.semnan.ac.ir/article_93_02491e7cb6d7acdcfb3fa72bd74ec04b.pdf
Stochastic differential equation
white noise
Kalman-Bucy filter
Ito
formula
analytic solution
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
42
49
10.22075/ijnaa.2011.95
95
Hyers-Ulam stability of K-Fibonacci functional equation
M. Bidkham
1
M. Hosseini
2
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
Let denote by Fk,n the nth k-Fibonacci 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 Hyere-Ulam stability in the class of functions f : N×R ! X,where X is a real Banach space.
http://ijnaa.semnan.ac.ir/article_95_e74695e8f1e27bdde3cc846ede0714d7.pdf
Stability
Fibonacci functional equation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
50
57
10.22075/ijnaa.2011.98
98
On fixed point theorems in fuzzy metric spaces using a control function
C.T. Aage
1
J.N. Salunke
2
School of Mathematical Sciences, North Maharashtra University, Jalgaon. P.O. 425001, Fax-02572257406, India
School of Mathematical Sciences, North Maharashtra University, Jalgaon. P.O. 425001, Fax-02572257406, India
In this paper, we generalize Fuzzy Banach contraction theorem establishedby V. Gregori and A. Sapena [Fuzzy Sets and Systems 125 (2002) 245-252]using notion of altering distance which was initiated by Khan et al. [Bull. Austral.Math. Soc., 30(1984), 1-9] in metric spaces.
http://ijnaa.semnan.ac.ir/article_98_3cfb9c262cf4d1805614bd993416c48b.pdf
Topology
Analysis
Fuzzy metric space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
58
66
10.22075/ijnaa.2011.100
100
Expansion semigroups in probabilistic metric spaces
A. Mbarki
1
A. Ouahab
2
I. Tahiri
3
National school of Applied Sciences, P.O. Box 669, Oujda University, Morocco
Departement, Oujda University, 60000 Oujda, Morocco.
Departement, Oujda University, 60000 Oujda, Morocco.
We present some new results on the existence and the approximationof common fixed point of expansive mappings and semigroups in probabilisticmetric spaces.
http://ijnaa.semnan.ac.ir/article_100_76ab92c4cca4bd1050a50388b5cc9aea.pdf
Common fixed point
left reversible
complete probabilistic metric
spaces
expansive conditions
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
67
72
10.22075/ijnaa.2011.101
101
Hermitian metric on quantum spheres
A. Bodaghi
1
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar, Iran.
The paper deal with non-commutative 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.
http://ijnaa.semnan.ac.ir/article_101_53c03c13b40220451b3d72750d9565fb.pdf
Quantum spaces
Quantum spheres
Hilbert module
Hermitian structure
C-algebra
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
73
81
10.22075/ijnaa.2011.103
103
Common fixed points of four maps using generalized weak contractivity and well-posedness
M. Akkouchi
1
Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).
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 self-mappings, when one of these pairs is generalized -contractionw.r.t. the other and study the well-posedness of their fixed point problem. Inparticular, our fixed point result extends the main result of a recent paper ofQingnian Zhang and Yisheng Song.
http://ijnaa.semnan.ac.ir/article_103_2299dbac30d9a74ab14d318fae8317c9.pdf
Common fixed point for four mappings
generalized −contractions
lower semi-continuity
weakly compatible mappings
well-posed common fixed point problem
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
82
84
10.22075/ijnaa.2011.107
107
A period 5 difference equation
W.A.J. Kosmala
1
Department of Math. Sci., Appalachian State University, Boone, NC 28608, USA
The main goal of this note is to introduce another second-order 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.
http://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdf
difference equation
periodicity
equilibrium points
convergence
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
85
96
10.22075/ijnaa.2011.108
108
Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
G.S. Saluja
1
Department of Mathematics & Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India.
The purpose of this paper is to study and give the necessary andsufficient condition of strong convergence of the multi-step iterative algorithmwith errors for a finite family of generalized asymptotically quasi-nonexpansivemappings 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]).
http://ijnaa.semnan.ac.ir/article_108_bee54f5a6dfa9755ebb34c7ea5deb593.pdf
Generalized asymptotically quasi–nonexpansive mapping
multi–step
iterative algorithm with bounded errors
Common fixed point
Banach space
strong convergence
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2011-01-01
2
1
97
102
10.22075/ijnaa.2011.109
109
Bilinear Fourier integral operator and its boundedness
M. Alimohammady
1
F. Fattahi
2
Department of mathematics, University of Mazandaran, babolsar, Iran.
Department of mathematics, University of Mazandaran, babolsar, Iran.
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.
http://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf
Fourier integral operator
boundedness
modulation spaces