Bifurcation in a variational problem on a surface with a constraint
P.
Viridis
Department of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, Greece
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
1
10
https://ijnaa.semnan.ac.ir/article_51_6402a2cb6d6385a02406d633a6a81f69.pdf
dx.doi.org/10.22075/ijnaa.2011.51
A new restructured Hardy-Littlewood's inequality
B.
Yang
Department of Mathematics, Guangdong Education Institute, and Guangzhou,
Guangdong 510303, P. R. China
author
G. M.
Rassias
Zagoras St. Paradissos, Amaroussion 15125 Athens, Greece
author
Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
11
20
https://ijnaa.semnan.ac.ir/article_53_363fa8cc9693e77e20a8a504b51ff522.pdf
dx.doi.org/10.22075/ijnaa.2011.53
On the study of Hilbert-type inequalities with multi-parameters: a Survey
B.
Yang
Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong
510303, P. R. China
author
Th. M.
Rassias
Department of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, Greece
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
21
34
https://ijnaa.semnan.ac.ir/article_90_c69b881045b167653f22f839c14a54f8.pdf
dx.doi.org/10.22075/ijnaa.2011.90
Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit
R.
Rezaeyan
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.
author
R.
Farnoush
Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.
author
E. B.
Jamkhaneh
Department of Mathematics, Islamic Azad University Ghaemshahr Branch,
Ghaemshahr, Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
35
41
https://ijnaa.semnan.ac.ir/article_93_02491e7cb6d7acdcfb3fa72bd74ec04b.pdf
dx.doi.org/10.22075/ijnaa.2011.93
Hyers-Ulam stability of K-Fibonacci functional equation
M.
Bidkham
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan,
Iran.
author
M.
Hosseini
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan,
Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
42
49
https://ijnaa.semnan.ac.ir/article_95_e74695e8f1e27bdde3cc846ede0714d7.pdf
dx.doi.org/10.22075/ijnaa.2011.95
On fixed point theorems in fuzzy metric spaces using a control function
C.T.
Aage
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, India
author
J.N.
Salunke
School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, India
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
50
57
https://ijnaa.semnan.ac.ir/article_98_3cfb9c262cf4d1805614bd993416c48b.pdf
dx.doi.org/10.22075/ijnaa.2011.98
Expansion semigroups in probabilistic metric spaces
A.
Mbarki
National school of Applied Sciences, P.O. Box 669, Oujda University, Morocco
author
A.
Ouahab
Departement, Oujda University, 60000 Oujda, Morocco.
author
I.
Tahiri
Departement, Oujda University, 60000 Oujda, Morocco.
author
text
article
2011
eng
We present some new results on the existence and the approximation of common fixed point of expansive mappings and semigroups in probabilistic metric spaces.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
58
66
https://ijnaa.semnan.ac.ir/article_100_76ab92c4cca4bd1050a50388b5cc9aea.pdf
dx.doi.org/10.22075/ijnaa.2011.100
Hermitian metric on quantum spheres
A.
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar,
Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
67
72
https://ijnaa.semnan.ac.ir/article_101_53c03c13b40220451b3d72750d9565fb.pdf
dx.doi.org/10.22075/ijnaa.2011.101
Common fixed points of four maps using generalized weak contractivity and well-posedness
M.
Akkouchi
Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi
Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
73
81
https://ijnaa.semnan.ac.ir/article_103_2299dbac30d9a74ab14d318fae8317c9.pdf
dx.doi.org/10.22075/ijnaa.2011.103
A period 5 difference equation
W.A.J.
Kosmala
Department of Math. Sci., Appalachian State University, Boone, NC 28608, USA
author
text
article
2011
eng
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 $x_0x_1 \neq 1$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
82
84
https://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdf
dx.doi.org/10.22075/ijnaa.2011.107
Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
G.S.
Saluja
Department of Mathematics & Information Technology, Govt. Nagarjun P.G.
College of Science, Raipur (C.G.), India
author
text
article
2011
eng
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]).
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
85
96
https://ijnaa.semnan.ac.ir/article_108_bee54f5a6dfa9755ebb34c7ea5deb593.pdf
dx.doi.org/10.22075/ijnaa.2011.108
Bilinear Fourier integral operator and its boundedness
M.
Alimohammady
Department of mathematics, University of Mazandaran, babolsar, Iran.
author
F.
Fattahi
Department of mathematics, University of Mazandaran, babolsar, Iran.
author
text
article
2011
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
2
v.
1
no.
2011
97
102
https://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf
dx.doi.org/10.22075/ijnaa.2011.109