ORIGINAL_ARTICLE
Bifurcation in a variational problem on a surface with a constraint
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.
https://ijnaa.semnan.ac.ir/article_51_6402a2cb6d6385a02406d633a6a81f69.pdf
2011-01-01
1
10
10.22075/ijnaa.2011.51
Calculus of Variations
Bifurcation points
Critical points
Boundary Value Problem for a PDE with mean curvature
P.
Viridis
1
Department of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, Greece
LEAD_AUTHOR
ORIGINAL_ARTICLE
A new restructured Hardy-Littlewood's inequality
In this paper, we reconstruct Hardy-Littlewood’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.
https://ijnaa.semnan.ac.ir/article_53_363fa8cc9693e77e20a8a504b51ff522.pdf
2011-01-01
11
20
10.22075/ijnaa.2011.53
Hardy-Littlewood’s inequality
weight coefficient
Holder’s inequality
best constant factor
B.
Yang
1
Department of Mathematics, Guangdong Education Institute, and Guangzhou, Guangdong 510303, P. R. China
LEAD_AUTHOR
G. M.
Rassias
2
Zagoras St. Paradissos, Amaroussion 15125 Athens, Greece
AUTHOR
Th. M.
Rassias
3
Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece
AUTHOR
ORIGINAL_ARTICLE
On the study of Hilbert-type inequalities with multi-parameters: a Survey
In this paper, we provide a short account of the study of Hilbert-type inequalities during the past almost 100 years by introducing multi-parameters and using the method of weight coefficients. A basic theorem of Hilbert-type inequalities with the homogeneous kernel of −$\lambda$−degree and parameters is proved.
https://ijnaa.semnan.ac.ir/article_90_c69b881045b167653f22f839c14a54f8.pdf
2011-01-01
21
34
10.22075/ijnaa.2011.90
Hilbert-type inequality
weight coefficient
parameter
kernel
operator
B.
Yang
1
Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong 510303, P. R. China
LEAD_AUTHOR
Th. M.
Rassias
2
Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece
AUTHOR
ORIGINAL_ARTICLE
Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit
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 Kalman-Bucy 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.
https://ijnaa.semnan.ac.ir/article_93_02491e7cb6d7acdcfb3fa72bd74ec04b.pdf
2011-01-01
35
41
10.22075/ijnaa.2011.93
Stochastic differential equation
white noise
Kalman-Bucy filter
Ito formula
analytic solution
R.
Rezaeyan
1
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Sciences and Research Branch, Tehran, Iran.
LEAD_AUTHOR
R.
Farnoush
2
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Sciences and Research Branch, Tehran, Iran.
AUTHOR
E. B.
Jamkhaneh
3
Department of Mathematics, Islamic Azad University Ghaemshahr Branch, Ghaemshahr, Iran.
AUTHOR
ORIGINAL_ARTICLE
Hyers-Ulam stability of K-Fibonacci functional equation
Let denote by $F_{k,n}$ the $n^{th}$ $k$-Fibonacci number where $F_{k,n} = kF_{k,n-1}+ F_{k,n-2}$ for $n\geq 2$ 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 Hyere-Ulam stability in the class of functions $f : \mathbb{N}\times\mathbb{R}\to X$, where $X$ is a real Banach space.
https://ijnaa.semnan.ac.ir/article_95_e74695e8f1e27bdde3cc846ede0714d7.pdf
2011-01-01
42
49
10.22075/ijnaa.2011.95
stability
Fibonacci functional equation
M.
Bidkham
1
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
LEAD_AUTHOR
M.
Hosseini
2
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
AUTHOR
ORIGINAL_ARTICLE
On fixed point theorems in fuzzy metric spaces using a control function
In this paper, we generalize Fuzzy Banach contraction theorem established by 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.
https://ijnaa.semnan.ac.ir/article_98_3cfb9c262cf4d1805614bd993416c48b.pdf
2011-01-01
50
57
10.22075/ijnaa.2011.98
Topology
Analysis
Fuzzy metric space
C.T.
Aage
1
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, India
LEAD_AUTHOR
J.N.
Salunke
2
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, India
AUTHOR
ORIGINAL_ARTICLE
Expansion semigroups in probabilistic metric spaces
We present some new results on the existence and the approximation of common fixed point of expansive mappings and semigroups in probabilistic metric spaces.
https://ijnaa.semnan.ac.ir/article_100_76ab92c4cca4bd1050a50388b5cc9aea.pdf
2011-01-01
58
66
10.22075/ijnaa.2011.100
Common fixed point
left reversible
complete probabilistic metric spaces
expansive conditions
A.
Mbarki
1
National school of Applied Sciences, P.O. Box 669, Oujda University, Morocco
AUTHOR
A.
Ouahab
2
Departement, Oujda University, 60000 Oujda, Morocco.
AUTHOR
I.
Tahiri
3
Departement, Oujda University, 60000 Oujda, Morocco.
AUTHOR
ORIGINAL_ARTICLE
Hermitian metric on quantum spheres
The paper deal with non-commutative 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.
https://ijnaa.semnan.ac.ir/article_101_53c03c13b40220451b3d72750d9565fb.pdf
2011-01-01
67
72
10.22075/ijnaa.2011.101
Quantum spaces
Quantum spheres
Hilbert module
Hermitian structure
C*-algebra
A.
Bodaghi
1
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Common fixed points of four maps using generalized weak contractivity and well-posedness
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 self-mappings, when one of these pairs is generalized $\phi$-contraction w.r.t. the other and study the well-posedness 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.
https://ijnaa.semnan.ac.ir/article_103_2299dbac30d9a74ab14d318fae8317c9.pdf
2011-01-01
73
81
10.22075/ijnaa.2011.103
Common fixed point for four mappings
generalized $phi$−contractions
lower semi-continuity
weakly compatible mappings
well-posed common fixed point problem
M.
Akkouchi
1
Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).
LEAD_AUTHOR
ORIGINAL_ARTICLE
A period 5 difference equation
The main goal of this note is to introduce another second-order 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 $x_0x_1 \neq 1$.
https://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdf
2011-01-01
82
84
10.22075/ijnaa.2011.107
difference equation
periodicity
equilibrium points
convergence
W.A.J.
Kosmala
1
Department of Math. Sci., Appalachian State University, Boone, NC 28608, USA
LEAD_AUTHOR
ORIGINAL_ARTICLE
Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
The purpose of this paper is to study and give the necessary and sufficient condition of strong convergence of the multi-step iterative algorithm with errors for a finite family of generalized asymptotically quasi-nonexpansive 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]).
https://ijnaa.semnan.ac.ir/article_108_bee54f5a6dfa9755ebb34c7ea5deb593.pdf
2011-01-01
85
96
10.22075/ijnaa.2011.108
Generalized asymptotically quasi–nonexpansive mapping
multi-step iterative algorithm with bounded errors
Common fixed point
Banach space
strong convergence
G.S.
Saluja
1
Department of Mathematics & Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Bilinear Fourier integral operator and its boundedness
We consider the bilinear Fourier integral operator$$S_\sigma(f,g)=\int_{\mathbb{R}^d}\int_{\mathbb{R}^d}e^{i\phi_1(x,\xi)}e^{i\phi_2(x,\eta)}\sigma(x,\xi,\eta)\hat{f}(\xi)\hat{g}(\eta)d\xi d\eta$$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.
https://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf
2011-01-01
97
102
10.22075/ijnaa.2011.109
Fourier integral operator
boundedness
modulation spaces
M.
Alimohammady
1
Department of mathematics, University of Mazandaran, babolsar, Iran.
LEAD_AUTHOR
F.
Fattahi
2
Department of mathematics, University of Mazandaran, babolsar, Iran.
AUTHOR