2022-05-28T17:36:06Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=14
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Bifurcation in a variational problem on a surface with a constraint
P.
Viridis
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
2011
01
01
1
10
https://ijnaa.semnan.ac.ir/article_51_6402a2cb6d6385a02406d633a6a81f69.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
A new restructured Hardy-Littlewood's inequality
B.
Yang
G. M.
Rassias
Th. M.
Rassias
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
2011
01
01
11
20
https://ijnaa.semnan.ac.ir/article_53_363fa8cc9693e77e20a8a504b51ff522.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
On the study of Hilbert-type inequalities with multi-parameters: a Survey
B.
Yang
Th. M.
Rassias
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
2011
01
01
21
34
https://ijnaa.semnan.ac.ir/article_90_c69b881045b167653f22f839c14a54f8.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit
R.
Rezaeyan
R.
Farnoush
E. B.
Jamkhaneh
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
2011
01
01
35
41
https://ijnaa.semnan.ac.ir/article_93_02491e7cb6d7acdcfb3fa72bd74ec04b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Hyers-Ulam stability of K-Fibonacci functional equation
M.
Bidkham
M.
Hosseini
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.
stability
Fibonacci functional equation
2011
01
01
42
49
https://ijnaa.semnan.ac.ir/article_95_e74695e8f1e27bdde3cc846ede0714d7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
On fixed point theorems in fuzzy metric spaces using a control function
C.T.
Aage
J.N.
Salunke
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
2011
01
01
50
57
https://ijnaa.semnan.ac.ir/article_98_3cfb9c262cf4d1805614bd993416c48b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Expansion semigroups in probabilistic metric spaces
A.
Mbarki
A.
Ouahab
I.
Tahiri
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
2011
01
01
58
66
https://ijnaa.semnan.ac.ir/article_100_76ab92c4cca4bd1050a50388b5cc9aea.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Hermitian metric on quantum spheres
A.
Bodaghi
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
2011
01
01
67
72
https://ijnaa.semnan.ac.ir/article_101_53c03c13b40220451b3d72750d9565fb.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Common fixed points of four maps using generalized weak contractivity and well-posedness
M.
Akkouchi
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
2011
01
01
73
81
https://ijnaa.semnan.ac.ir/article_103_2299dbac30d9a74ab14d318fae8317c9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
A period 5 difference equation
W.A.J.
Kosmala
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 $x_0x_1 \neq 1$.
difference equation
periodicity
equilibrium points
convergence
2011
01
01
82
84
https://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
G.S.
Saluja
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
2011
01
01
85
96
https://ijnaa.semnan.ac.ir/article_108_bee54f5a6dfa9755ebb34c7ea5deb593.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2011
2
1
Bilinear Fourier integral operator and its boundedness
M.
Alimohammady
F.
Fattahi
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.
Fourier integral operator
boundedness
modulation spaces
2011
01
01
97
102
https://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf