SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901On the theory of strips and Joachimsthal theorem in the Lorentz space , 3327330208310.22099/ijsts.2014.2083ENA. TutarOndokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, TurkeyO. SenerOndokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, TurkeyJournal Article20111212In this study the theory of strips and Joachimsthal Theorem in are generalized to Lorentz space , 3. Furthermore, the Joachimsthal Theorem is investigated when the strip is time-like and space-like.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901Numerical solution of nonlinear optimal control problems based on state parametrization331340208410.22099/ijsts.2014.2084ENB. KafashFaculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, IranA. DelavarkhalafiFaculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, IranS. M. KarbassiFaculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, P.O.Box 89195/155, IranJournal Article20120218In this paper, solution of nonlinear optimal control problems and the controlled Duffing oscillator, as a special class of optimal control problems, are considered and an efficient algorithm is proposed. This algorithm is based on state parametrization as a polynomial with unknown coefficients. By this method, the control and state variables can be approximated as a function of time. Also, the numerical value of the performance index is obtained readily. The convergence of the algorithm is proved. To demonstrate reliability and efficiency of the proposed algorithm, the scheme is tested on some numerical examples.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901Some new double sequence spaces in 2-normed spaces defined by two valued measure341349208510.22099/ijsts.2014.2085ENE. SavasDepartment of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, TurkeyJournal Article20111116In this paper, following the methods of Connor, we introduce some new generalized double difference sequence<br />spaces using summability with respect to a two valued measure, double infinite matrix and an Orlicz function in 2-normed spaces which have unique non-linear structure and examine some of their properties.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901On the convergence of the VHPM for the Zakharove-Kuznetsov equations351358208610.22099/ijsts.2014.2086ENM. MatinfarDepartment of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, IranM. GhasemiDepartment of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, IranM. SaeidyDepartment of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, IranJournal Article20111105In this paper, the variational homotopy perturbation method (VHPM) and its convergence is adopted for the<br />Zakharove-Kuznetsov equations (ZK-equations). The aim of this paper is to present an efficient and reliable<br />treatment of the VHPM for the nonlinear partial differential equations and show that this method is convergent.<br />The convergence of the applied method is approved using the method of majorants from Cauchy-Kowalevskaya<br />theorem of differential equations with analytical vector field.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901The modified Exp-function method and its applications to the generalized K(n,n) and BBM equations with variable coefficients359365208710.22099/ijsts.2014.2087ENE. M. E. ZayedMathematics Department, Faculty of Science, Zagazig University, Zagazig, EgyptAbdelaziz M. A. M.Mathematics Department, Faculty of Science, Zagazig University, Zagazig, EgyptJournal Article20111218In this article, the modified exp-function method is used to construct many exact solutions to the nonlinear<br />generalized K(n,n) and BBM equations with variable coefficients. Under different parameter conditions, explicit<br />formulas for some new exact solutions are successfully obtained. The proposed solutions are found to be<br />important for the explanation of some practical physical problems.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901Bounds on the signed distance--domination number of graphs367370208810.22099/ijsts.2014.2088END. A. MojdehDepartment of Mathematics, University of Tafresh, Tafresh, IranB. SamadiSchool of Mathematics, Institute for Research in Fundamental
Sciences (IPM) Tehran, Iran, P.O. Box 19395-5746S. M. Hosseini MoghaddamShahab Danesh Institute of Higher Education, Qom, IranJournal Article20111105Let , be a graph with vertex set of order and edge set . A -dominating set of is a subset such that each vertex in has at least neighbors in . If is a vertex of a graph , the open -neighborhood of , denoted by , is the set , . is the closed -neighborhood of . A function 1, 1 is a signed distance- dominating function of , if for every vertex , Σ 1. The signed distance--domination number, denoted by ,, is the minimum weight of a signed distance--dominating function of . In this paper, we give lower and upper bounds on , of graphs. Also, we determine the signed distance--domination number of graph , (the graph obtained from the disjoint union by adding the edges , ) when 2.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901On compact operators on the Riesz -difference sequence spaces-II371376208910.22099/ijsts.2014.2089ENM. BasarirDepartment of Mathematics, Sakarya University, 54187, Sakarya, TurkeyE. E. KaraDepartment of Mathematics, Bilecik University, 11210, Bilecik, TurkeyJournal Article20120116The compact operators on the Riesz sequence space 1 ∞ have been studied by Başarır and Kara, “IJST (2011) A4, 279-285”. In the present paper, we will characterize some classes of compact operators on the normed Riesz sequence spaces and by using the Hausdorff measure of noncompactness.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901On a class of locally dually flat Finsler metrics with isotropic S-curvature377382209010.22099/ijsts.2014.2090ENA. TayebiDepartment of Mathematics and Computer Science, University of Qom, Qom, IranE. PeyghanDepartment of Mathematics and Computer Science, Arak University, Arak 38156-8-8349, IranH. SadeghiDepartment of Mathematics and Computer Science, University of Qom, Qom, IranJournal Article20111030Dually flat Finsler metrics form a special and valuable class of Finsler metrics in Finsler information geometry,<br />which play a very important role in studying flat Finsler information structure. In this paper, we prove that every<br />locally dually flat generalized Randers metric with isotropic S-curvature is locally Minkowskian.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901Interesting dynamic behavior in some discrete maps383389209110.22099/ijsts.2014.2091ENL. M. SahaMathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi, IndiaS. PrasadDepartment of Mathematics, University of Delhi, Delhi-110007, IndiaG. H. ErjaeeMathematics Department, Shiraz University, Shiraz, IranJournal Article20111003Different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. Evolutionary phenomena are discussed through bifurcation analysis leading to chaos. Some tools of nonlinear dynamics, such as Lyapunov characteristic exponents (LCE), Lyapunov numbers, correlation dimension, etc. are calculated for numerical studies and to characterize regular and chaotic behavior. These results are produced through various graphics. Chaotic evolutions of such insect population have been discussed as the parameters attain certain set of critical values. The results obtained are informative and very significant. The correlation dimension for evolution of insect population signifies certain fractal structure.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120140901The uniqueness theorem for discontinuous boundary value problems with aftereffect using the nodal points391394209210.22099/ijsts.2014.2092ENA. DabbaghianIslamic Azad University, Neka Branch, Neka, IranSh. AkbarpourIslamic Azad University, Jouybar Branch, Jouybar, IranA. NeamatyDepartment of Mathematics, University of Mazandaran, Babolsar, IranJournal Article20120123In this paper, uniqueness theorem is studied for boundary value problem with "aftereffect" on a finite interval with discontinuity conditions in an interior point. The oscillation of the eigenfunctions corresponding to large modulus eigenvalues is established and an asymptotic of the nodal points is obtained. By using these new spectral parameters, uniqueness theorem is proved.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120120901Characterizations of ternary semigroups by ,qk -fuzzy ideals395410209310.22099/ijsts.2012.2093ENM. ShabirDepartment of Mathematics Quaid-i-Azam University, Islamabad, PakistanN. RehmanDepartment of Mathematics Quaid-i-Azam University, Islamabad, PakistanJournal Article20111127In this paper we have generalized the concepts of ,q-fuzzy ideals, ,q-fuzzy quasi-ideals and<br />,q-fuzzy bi-ideals by introducing the concepts of k ,q -fuzzy ideals, k ,q -fuzzy quasiideals and k ,q -fuzzy bi-ideals in ternary semigroups and several related properties are investigated. Different characterizations of regular and weakly regular ternary semigroups by the properties of these ideals are given.SpringerIranian Journal of Science and Technology (Sciences)1028-627636Issue 3.120120901Common fixed point theorems for sequences of mappings with some weaker conditions411416209410.22099/ijsts.2012.2094ENKh. Abd-RabouDepartment of Mathematics, Faculty of Science, Zagazig University, Egypt
Department of Mathematics, Community College, Shaqra University, Al-qawwiya, K. S. AJournal Article20111105In this paper, we prove a common fixed point theorem for six mappings (two set valued and four single valued mappings) without assuming compatibility and continuity of any mapping on non complete metric spaces. To prove the theorem, we use a non compatible condition, that is, weak commutativity of type (KB). We show that completeness of the whole space is not necessary for the existence and uniqueness of common fixed point, and give an example to support our theorem. Also, we prove a common fixed point theorem for two self mappings and two sequences set-valued mappings by the same weaker conditions. Our results improve, extend and generalizes the corresponding results given by many authors.