Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Bifurcation in a variational problem on a surface with a constraint
1
10
EN
P.
Viridis
Department of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, Greece
10.22075/ijnaa.2011.51
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.
Calculus of Variations,Bifurcation points,Critical points,Boundary Value Problem for a PDE with mean curvature
https://ijnaa.semnan.ac.ir/article_51.html
https://ijnaa.semnan.ac.ir/article_51_6402a2cb6d6385a02406d633a6a81f69.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
A new restructured Hardy-Littlewood's inequality
11
20
EN
B.
Yang
Department of Mathematics, Guangdong Education Institute, and Guangzhou,
Guangdong 510303, P. R. China
G. M.
Rassias
Zagoras St. Paradissos, Amaroussion 15125 Athens, Greece
Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece
10.22075/ijnaa.2011.53
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.
Hardy-Littlewood’s inequality,weight coefficient,Holder’s inequality,best constant factor
https://ijnaa.semnan.ac.ir/article_53.html
https://ijnaa.semnan.ac.ir/article_53_363fa8cc9693e77e20a8a504b51ff522.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
On the study of Hilbert-type inequalities with multi-parameters: a Survey
21
34
EN
B.
Yang
Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong
510303, P. R. China
Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece
10.22075/ijnaa.2011.90
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.
Hilbert-type inequality,weight coefficient,parameter,kernel,operator
https://ijnaa.semnan.ac.ir/article_90.html
https://ijnaa.semnan.ac.ir/article_90_c69b881045b167653f22f839c14a54f8.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit
35
41
EN
R.
Rezaeyan
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.
R.
Farnoush
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.
E. B.
Jamkhaneh
Department of Mathematics, Islamic Azad University Ghaemshahr Branch,
Ghaemshahr, Iran.
10.22075/ijnaa.2011.93
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.
Stochastic differential equation,white noise,Kalman-Bucy filter,Ito formula,analytic solution
https://ijnaa.semnan.ac.ir/article_93.html
https://ijnaa.semnan.ac.ir/article_93_02491e7cb6d7acdcfb3fa72bd74ec04b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Hyers-Ulam stability of K-Fibonacci functional equation
42
49
EN
M.
Bidkham
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan,
Iran.
M.
Hosseini
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan,
Iran.
10.22075/ijnaa.2011.95
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 $ngeq 2$ 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 Hyere-Ulam stability in the class of functions $f : mathbb{N}timesmathbb{R}to X$, where $X$ is a real Banach space.
stability,Fibonacci functional equation
https://ijnaa.semnan.ac.ir/article_95.html
https://ijnaa.semnan.ac.ir/article_95_e74695e8f1e27bdde3cc846ede0714d7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
On fixed point theorems in fuzzy metric spaces using a control function
50
57
EN
C.T.
Aage
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, India
J.N.
Salunke
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, India
10.22075/ijnaa.2011.98
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.
Topology,Analysis,Fuzzy metric space
https://ijnaa.semnan.ac.ir/article_98.html
https://ijnaa.semnan.ac.ir/article_98_3cfb9c262cf4d1805614bd993416c48b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Expansion semigroups in probabilistic metric spaces
58
66
EN
A.
Mbarki
National school of Applied Sciences, P.O. Box 669, Oujda University, Morocco
A.
Ouahab
Departement, Oujda University, 60000 Oujda, Morocco.
I.
Tahiri
Departement, Oujda University, 60000 Oujda, Morocco.
10.22075/ijnaa.2011.100
We present some new results on the existence and the approximation of common fixed point of expansive mappings and semigroups in probabilistic metric spaces.
Common fixed point,left reversible,complete probabilistic metric spaces,expansive conditions
https://ijnaa.semnan.ac.ir/article_100.html
https://ijnaa.semnan.ac.ir/article_100_76ab92c4cca4bd1050a50388b5cc9aea.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Hermitian metric on quantum spheres
67
72
EN
A.
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar,
Iran.
10.22075/ijnaa.2011.101
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.
Quantum spaces,Quantum spheres,Hilbert module,Hermitian structure,C*-algebra
https://ijnaa.semnan.ac.ir/article_101.html
https://ijnaa.semnan.ac.ir/article_101_53c03c13b40220451b3d72750d9565fb.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Common fixed points of four maps using generalized weak contractivity and well-posedness
73
81
EN
M.
Akkouchi
Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi
Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).
10.22075/ijnaa.2011.103
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.
Common fixed point for four mappings,generalized $\phi$−contractions,lower semi-continuity,weakly compatible mappings,well-posed common fixed point problem
https://ijnaa.semnan.ac.ir/article_103.html
https://ijnaa.semnan.ac.ir/article_103_2299dbac30d9a74ab14d318fae8317c9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
A period 5 difference equation
82
84
EN
W.A.J.
Kosmala
Department of Math. Sci., Appalachian State University, Boone, NC 28608, USA
10.22075/ijnaa.2011.107
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:<br />$$x_{n+1} =frac{1 + x_{n−1}}{x_nx_{n−1} − 1}, n = 1, 2, 3, . . .$$<br />with initial conditions $x_0$ and $x_1$ any real numbers such that $x_0x_1 neq 1$.
difference equation,periodicity,equilibrium points,convergence
https://ijnaa.semnan.ac.ir/article_107.html
https://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
85
96
EN
G.S.
Saluja
Department of Mathematics & Information Technology, Govt. Nagarjun P.G.
College of Science, Raipur (C.G.), India
10.22075/ijnaa.2011.108
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]).
Generalized asymptotically quasi–nonexpansive mapping,multi-step iterative algorithm with bounded errors,Common fixed point,Banach space,strong convergence
https://ijnaa.semnan.ac.ir/article_108.html
https://ijnaa.semnan.ac.ir/article_108_bee54f5a6dfa9755ebb34c7ea5deb593.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2
1
2011
01
01
Bilinear Fourier integral operator and its boundedness
97
102
EN
M.
Alimohammady
Department of mathematics, University of Mazandaran, babolsar, Iran.
F.
Fattahi
Department of mathematics, University of Mazandaran, babolsar, Iran.
10.22075/ijnaa.2011.109
We consider the bilinear Fourier integral operator<br />$$S_sigma(f,g)=int_{mathbb{R}^d}int_{mathbb{R}^d}e^{iphi_1(x,xi)}e^{iphi_2(x,eta)}sigma(x,xi,eta)hat{f}(xi)hat{g}(eta)dxi deta$$<br />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.
Fourier integral operator,boundedness,modulation spaces
https://ijnaa.semnan.ac.ir/article_109.html
https://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf