University of MaraghehSahand Communications in Mathematical Analysis2322-580701120140201Frameness bound for frame of subspaces1811238ENM. R. AbdollahpourDepartment of Mathematics, University of Mohaghegh Ardabili, P.O.Box
179, Ardabil, Iran.A. ShekariDepartment of Mathematics, University of Mohaghegh Ardabili, P.O.Box
179, Ardabil, Iran.Journal Article20140126In this paper, we show that in each finite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a finite dimensional Hilbert space has frameness bound.University of MaraghehSahand Communications in Mathematical Analysis2322-580701120140201General Minkowski type and related inequalities for seminormed fuzzy integrals92011255ENBayaz DarabyDepartment of Mathematics, University of Maragheh, P. O. Box 55181-
83111, Maragheh, Iran.Fatemeh GhadimiDepartment of Mathematics, University of Maragheh, P. O. Box 55181-
83111, Maragheh, Iran.Journal Article20130625Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. Several examples are given to illustrate the validity of theorems. Some results on Chebyshev and Minkowski type inequalities are obtained.University of MaraghehSahand Communications in Mathematical Analysis2322-580701120140201Existence/uniqueness of solutions to Heat equation in extended Colombeau algebra212811259ENMohsen AlimohammadyDepartment of Mathematics, University of Mazandaran, Babolsar,
Iran.Fariba FattahiDepartment of Mathematics, University of Mazandaran, Babolsar,
Iran.Journal Article20130610This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.University of MaraghehSahand Communications in Mathematical Analysis2322-580701120140201Inverse Sturm-Liouville problem with discontinuity conditions294011264ENMohammad ShahriariDepartment of Mathematics, Faculty of Science, University of Maragheh,
P.O. Box 55181-83111, Maragheh, Iran.Aliasghar Jodayree AkbarfamFaculty of Mathematical Sciences, University of Tabriz, Tabriz 51664,
Iran.Journal Article20130630This paper deals with the boundary value problem involving the differential equation begin{equation*} ell y:=-y''+qy=lambda y, end{equation*} subject to the standard boundary conditions along with the following discontinuity conditions at a point $ain (0,pi)$ begin{equation*} y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0), end{equation*} where $q(x), a_1 , a_2$ are real, $qin L^{2}(0,pi)$ and $lambda$ is a parameter independent of $x$. We develop the Hochestadt's result based on the transformation operator for inverse Sturm-Liouville problem when there are discontinuous conditions. Furthermore, we establish a formula for $q(x) - tilde{q}(x)$ in the finite interval where $q(x)$ and $tilde{q}(x)$ are analogous functions.University of MaraghehSahand Communications in Mathematical Analysis2322-580701120140201Invariance of Fréchet frames under perturbation415111265ENAsghar RahimiDepartment of mathematics, University of Maragheh, Maragheh, Iran.0000-0003-2095-6811Journal Article20130630Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr'echet frames under perturbation. Also we show that for any Fr'echet spaces, there is a Fr'echet frame and any element in these spaces has a series expansion.University of MaraghehSahand Communications in Mathematical Analysis2322-580701120140201Sandwich-type theorems for a class of integral operators with special properties526311266ENParisa HaririDepartment of Mathematics and Statistics, University of Turku, Turku,
Finland.Journal Article20130611In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.University of MaraghehSahand Communications in Mathematical Analysis2322-580701120140201Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions647011268ENSeyyed Sadegh KazemipoorDepartment of Basic Sciences, Payame Noor University of Karaj, Karaj,
Iran.Mahboobeh ZakeriDepartment of Basic Sciences, Payame Noor University of Karaj, Karaj,
Iran.Journal Article20130923In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.