Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Bifurcation in a variational problem on a surface with a constraint1105110.22075/ijnaa.2011.51ENP. ViridisDepartment of Informatics and Telecommunications, Kalamata Technological Educational Institute, Branch of Sparta, 23100 Sparta, GreeceJournal Article20100108We 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101A new restructured Hardy-Littlewood's inequality11205310.22075/ijnaa.2011.53ENB. YangDepartment of Mathematics, Guangdong Education Institute, and Guangzhou,
Guangdong 510303, P. R. ChinaG. M. RassiasZagoras St. Paradissos, Amaroussion 15125 Athens, GreeceTh. M. RassiasDepartment of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, GreeceJournal Article20100407In 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101On the study of Hilbert-type inequalities with multi-parameters: a Survey21349010.22075/ijnaa.2011.90ENB. YangDepartment of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong
510303, P. R. ChinaTh. M. RassiasDepartment of Mathematics, National Technical University of Athens, Zografou,
Campus 15780 Athens, GreeceJournal Article20100406In 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Application of the Kalman-Bucy filter in the stochastic differential equation for the modeling of RL circuit35419310.22075/ijnaa.2011.93ENR. RezaeyanDepartment of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.R. FarnoushDepartment of Mathematics, Faculty of Basic Sciences, Islamic Azad University,
Sciences and Research Branch, Tehran, Iran.E. B. JamkhanehDepartment of Mathematics, Islamic Azad University Ghaemshahr Branch,
Ghaemshahr, Iran.Journal Article20100121In 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Hyers-Ulam stability of K-Fibonacci functional equation42499510.22075/ijnaa.2011.95ENM. BidkhamDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan,
Iran.M. HosseiniDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan,
Iran.Journal Article20100121Let 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101On fixed point theorems in fuzzy metric spaces using a control function50579810.22075/ijnaa.2011.98ENC.T. AageSchool of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, IndiaJ.N. SalunkeSchool of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, IndiaJournal Article20100228In 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Expansion semigroups in probabilistic metric spaces586610010.22075/ijnaa.2011.100ENA. MbarkiNational school of Applied Sciences, P.O. Box 669, Oujda University, MoroccoA. OuahabDepartement, Oujda University, 60000 Oujda, Morocco.I. TahiriDepartement, Oujda University, 60000 Oujda, Morocco.Journal Article20100211We 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Hermitian metric on quantum spheres677210110.22075/ijnaa.2011.101ENA. BodaghiDepartment of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar,
Iran.Journal Article20100430The 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Common fixed points of four maps using generalized weak contractivity and well-posedness738110310.22075/ijnaa.2011.103ENM. AkkouchiDepartment of Mathematics, Faculty of Sciences-Semlalia, University Cadi
Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).Journal Article20100612In 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101A period 5 difference equation828410710.22075/ijnaa.2011.107ENW.A.J. KosmalaDepartment of Math. Sci., Appalachian State University, Boone, NC 28608, USAJournal Article20100507The 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 $x_0x_1 \neq 1$.https://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces859610810.22075/ijnaa.2011.108ENG.S. SalujaDepartment of Mathematics & Information Technology, Govt. Nagarjun P.G.
College of Science, Raipur (C.G.), IndiaJournal Article20100617The 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.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68222120110101Bilinear Fourier integral operator and its boundedness9710210910.22075/ijnaa.2011.109ENM. AlimohammadyDepartment of mathematics, University of Mazandaran, babolsar, Iran.F. FattahiDepartment of mathematics, University of Mazandaran, babolsar, Iran.Journal Article20100714We consider the bilinear Fourier integral operator<br />$$S_\sigma(f,g)=\int_{\mathbb{R}^d}\int_{\mathbb{R}^d}e^{i\phi_1(x,\xi)}e^{i\phi_2(x,\eta)}\sigma(x,\xi,\eta)\hat{f}(\xi)\hat{g}(\eta)d\xi d\eta$$<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.https://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf