@article {
author = {Viridis, P.},
title = {Bifurcation in a variational problem on a surface with a constraint},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {1-10},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.51},
abstract = {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.},
keywords = {Calculus of Variations,Bifurcation points,Critical points,Boundary Value Problem for a PDE with mean curvature},
url = {https://ijnaa.semnan.ac.ir/article_51.html},
eprint = {https://ijnaa.semnan.ac.ir/article_51_6402a2cb6d6385a02406d633a6a81f69.pdf}
}
@article {
author = {Yang, B. and Rassias, G. M. and Rassias, Th. M.},
title = {A new restructured Hardy-Littlewood's inequality},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {11-20},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.53},
abstract = {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.},
keywords = {Hardy-Littlewood’s inequality,weight coefficient,Holder’s inequality,best constant factor},
url = {https://ijnaa.semnan.ac.ir/article_53.html},
eprint = {https://ijnaa.semnan.ac.ir/article_53_363fa8cc9693e77e20a8a504b51ff522.pdf}
}
@article {
author = {Yang, B. and Rassias, Th. M.},
title = {On the study of Hilbert-type inequalities with multi-parameters: a Survey},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {21-34},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.90},
abstract = {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.},
keywords = {Hilbert-type inequality,weight coefficient,parameter,kernel,operator},
url = {https://ijnaa.semnan.ac.ir/article_90.html},
eprint = {https://ijnaa.semnan.ac.ir/article_90_c69b881045b167653f22f839c14a54f8.pdf}
}
@article {
author = {Rezaeyan, R. and Farnoush, R. and Jamkhaneh, E. B.},
title = {Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {35-41},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.93},
abstract = {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.},
keywords = {Stochastic differential equation,white noise,Kalman-Bucy filter,Ito formula,analytic solution},
url = {https://ijnaa.semnan.ac.ir/article_93.html},
eprint = {https://ijnaa.semnan.ac.ir/article_93_02491e7cb6d7acdcfb3fa72bd74ec04b.pdf}
}
@article {
author = {Bidkham, M. and Hosseini, M.},
title = {Hyers-Ulam stability of K-Fibonacci functional equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {42-49},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.95},
abstract = {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.},
keywords = {stability,Fibonacci functional equation},
url = {https://ijnaa.semnan.ac.ir/article_95.html},
eprint = {https://ijnaa.semnan.ac.ir/article_95_e74695e8f1e27bdde3cc846ede0714d7.pdf}
}
@article {
author = {Aage, C.T. and Salunke, J.N.},
title = {On fixed point theorems in fuzzy metric spaces using a control function},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {50-57},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.98},
abstract = {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.},
keywords = {Topology,Analysis,Fuzzy metric space},
url = {https://ijnaa.semnan.ac.ir/article_98.html},
eprint = {https://ijnaa.semnan.ac.ir/article_98_3cfb9c262cf4d1805614bd993416c48b.pdf}
}
@article {
author = {Mbarki, A. and Ouahab, A. and Tahiri, I.},
title = {Expansion semigroups in probabilistic metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {58-66},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.100},
abstract = {We present some new results on the existence and the approximation of common fixed point of expansive mappings and semigroups in probabilistic metric spaces.},
keywords = {Common fixed point,left reversible,complete probabilistic metric spaces,expansive conditions},
url = {https://ijnaa.semnan.ac.ir/article_100.html},
eprint = {https://ijnaa.semnan.ac.ir/article_100_76ab92c4cca4bd1050a50388b5cc9aea.pdf}
}
@article {
author = {Bodaghi, A.},
title = {Hermitian metric on quantum spheres},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {67-72},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.101},
abstract = {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.},
keywords = {Quantum spaces,Quantum spheres,Hilbert module,Hermitian structure,C*-algebra},
url = {https://ijnaa.semnan.ac.ir/article_101.html},
eprint = {https://ijnaa.semnan.ac.ir/article_101_53c03c13b40220451b3d72750d9565fb.pdf}
}
@article {
author = {Akkouchi, M.},
title = {Common fixed points of four maps using generalized weak contractivity and well-posedness},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {73-81},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.103},
abstract = {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.},
keywords = {Common fixed point for four mappings,generalized $\phi$−contractions,lower semi-continuity,weakly compatible mappings,well-posed common fixed point problem},
url = {https://ijnaa.semnan.ac.ir/article_103.html},
eprint = {https://ijnaa.semnan.ac.ir/article_103_2299dbac30d9a74ab14d318fae8317c9.pdf}
}
@article {
author = {Kosmala, W.A.J.},
title = {A period 5 difference equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {82-84},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.107},
abstract = {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 $x_0x_1 \neq 1$.},
keywords = {difference equation,periodicity,equilibrium points,convergence},
url = {https://ijnaa.semnan.ac.ir/article_107.html},
eprint = {https://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdf}
}
@article {
author = {Saluja, G.S.},
title = {Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {85-96},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.108},
abstract = {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]).},
keywords = {Generalized asymptotically quasi–nonexpansive mapping,multi-step iterative algorithm with bounded errors,Common fixed point,Banach space,strong convergence},
url = {https://ijnaa.semnan.ac.ir/article_108.html},
eprint = {https://ijnaa.semnan.ac.ir/article_108_bee54f5a6dfa9755ebb34c7ea5deb593.pdf}
}
@article {
author = {Alimohammady, M. and Fattahi, F.},
title = {Bilinear Fourier integral operator and its boundedness},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {97-102},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.109},
abstract = {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.},
keywords = {Fourier integral operator,boundedness,modulation spaces},
url = {https://ijnaa.semnan.ac.ir/article_109.html},
eprint = {https://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf}
}