OTHERS_CITABLE The Wave Equation in Non-classic Cases: Non-self Adjoint with Non-local and Non-periodic Boundary Conditions In this paper has been studied the wave equation in some non-classic cases. In the  rst case boundary conditions are non-local and non-periodic. At that case the associated spectral problem is a self-adjoint problem and consequently the eigenvalues are real. But the second case the associated spectral problem is non-self-adjoint and consequently the eigenvalues are complex numbers,in which two cases, the solutions of the problem are constructed by Fourier method. By compatibility conditions and asymptotic expansions of the Fourier coe cients, the convergence of series solutions are proved. At last series solution are established and the uniqueness of the solution is proved by a special way which has not been used in classic texts. . http://ijmsi.ir/article-1-572-en.pdf 2014-05-01 1 12 10.7508/ijmsi.2014.01.001 Wave equation Non-local &amp non-periodic Boundary Conditions Asymptotic expansion. Mohammad Jahanshahi jahanshahi@azaruniv.edu 1 AUTHOR Asghar Ahmadkhanlu s.a.ahmadkhanlu@azaruniv.edu 2 AUTHOR
OTHERS_CITABLE On Hyper Pseudo BCK-algebras In this paper, we introduce the notion of hyper pseudo B C K - algebras, which is a generalization of pseudo BCK -algebras and hyper BCK -algebras and we investigates some related properties. In follow, we de ne some kinds of hyper pseudo BCK -ideals of a hyper pseudo BCK - algebra and we find the relations among them. Finally, we characterize the hyper pseudo BCK -ideals of type 4 generated by a nonempty subset. http://ijmsi.ir/article-1-574-en.pdf 2014-05-01 13 29 10.7508/ijmsi.2014.01.002 Hyper pseudo BCK-algebras Hyper pseudo BCK-ideals Generated hyper pseudo BCK-ideals . R. A. Borzooei borzooei@sbu.ac.ir 1 AUTHOR A. Rezazadeh Rezazade2008@gmail.com 2 AUTHOR R. Ameri rez_ameri@yahoo.com 3 AUTHOR
OTHERS_CITABLE جوابهایی از نوع ماتریسهای قطری و تک جمله ای برای معادله ماتریسی AXB=C http://ijmsi.ir/article-1-300-fa.pdf 2014-05-01 31 42 10.7508/ijmsi.2014.01.003 Diagonal and Monomial Solutions of the Matrix Equation AXB=C In this article, we consider the matrix equation $AXB=C$, where A, B, C are given matrices and give new necessary and sufficient conditions for the existence of the diagonal solutions and monomial solutions to this equation. We also present a general form of such solutions. Moreover, we consider the least squares problem $min_X |C-AXB |_F$ where $X$ is a diagonal or monomial matrix. The explicit expressions of the optimal solution and the minimum norm solution are both provided. http://ijmsi.ir/article-1-300-en.pdf 2014-05-01 31 42 10.7508/ijmsi.2014.01.003 Matrix equation Diagonal matrix Monomial matrix Least squares problem. Massoud Aman mamann@birjand.ac.ir 1 Author AUTHOR
OTHERS_CITABLE On the Graphs Related to Green Relations of Finite Semigroups In this paper we develop an analog of the notion of the con- jugacy graph of  nite groups for the  nite semigroups by considering the Green relations of a  nite semigroup. More precisely, by de ning the new graphs $Gamma_{L}(S)$, $Gamma_{H}(S)$, $Gamma_{J}(S)$ and $Gamma_{D}(S)$ (we name them the Green graphs) related to the Green relations L R J H and D of a  nite semigroup S , we  first attempt to prove that the graphs $Gamma_{D}(S)$ and $Gamma_{H}(S)$ have exactly one connected component, and this graphs for regu- lar semigroups are complete. And secondly, we give a necessary condition for a  nite semigroup to be regular. This study shows an intrinsic di er- ence between the conjugacy graphs (of groups) and the Green graphs (of semigroups) as well. Finally, our calculations include two kinds of semi- groups, mostly involving the well known Lucas numbers, and examining the proved assertions. http://ijmsi.ir/article-1-573-en.pdf 2014-05-01 43 51 10.7508/ijmsi.2014.01.004 Conjugacy graph Regular semigroup Green relations. A. Gharibkhajeh a_gharib@iau-tnb.ac.ir 1 AUTHOR H. Doostie doostih@gmail.com 2 AUTHOR
OTHERS_CITABLE شبه گروه های چند گانه دوتایی دارای اتحادهای شبیه به اتحاد مدیال http://ijmsi.ir/article-1-339-fa.pdf 2014-05-01 53 62 10.7508/ijmsi.2014.01.005 Binary Multiquasigroups with Medial-Like Equations In this paper paramedial, co-medial and co-paramedial binary multiquasigroups are considered and a characterization of the corresponding component operations of these multiquasigroups is given. http://ijmsi.ir/article-1-339-en.pdf 2014-05-01 53 62 10.7508/ijmsi.2014.01.005 Medial Paramedial Co-medial Co-paramedial Multiquasigroup Mode. Amir Ehsani a.ehsani@mahshahriau.ac.ir 1 Mahshahr Branch, Islamic Azad University AUTHOR Yuri Movsisyan yurimovsisyan@yahoo.com 2 Yerevan State University AUTHOR
OTHERS_CITABLE فضاهای بروالدی متقارن تعمیم یافته http://ijmsi.ir/article-1-345-fa.pdf 2014-05-01 63 69 10.7508/ijmsi.2014.01.006 Generalized Symmetric Berwald Spaces In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian. http://ijmsi.ir/article-1-345-en.pdf 2014-05-01 63 69 10.7508/ijmsi.2014.01.006 Homogeneous Finsler space Symmetric space Generalized symmetric space Berwald space. Parastoo Habibi p.habibi@iau-astara.ac.ir 1 Department of Mathematics AUTHOR Asadollah Razavi arazavi@aut.ac.ir 2 Faculty of Mathematics and Computer Science AUTHOR
OTHERS_CITABLE نتایجی روی فضاهای نرمدار مخروطی http://ijmsi.ir/article-1-360-fa.pdf 2014-05-01 71 80 10.7508/ijmsi.2014.01.007 Some Results on TVS-cone Normed Spaces and Algebraic Cone Metric Spaces In this paper we introduce the cone bounded linear mapping and demonstrate a proof to show that the cone norm is continuous. Among other things, we prove the open mapping theorem and the closed graph theorem in TVS-cone normed spaces. We also show that under some restrictions on the cone, two cone norms are equivalent if and only if the topologies induced by them are the same. In the sequel, we introduce the notion of algebraically cone metric and we will show that every algebraically cone metric space has a topology. http://ijmsi.ir/article-1-360-en.pdf 2014-05-01 71 80 10.7508/ijmsi.2014.01.007 Cone bounded Equivalent cone norms Algebraically cone metric. Assadollah Niknam 1 professor AUTHOR Saeedeh Shamsi Gamchi 2 Ph.D student AUTHOR Mohammad Janfada 3 associate professor AUTHOR
OTHERS_CITABLE On Hyperideal Structure of Ternary Semihypergroups In this paper, we introduce and study the concepts of prime left, semiprime left and irreducible left hyperideals in ternary semihyper- groups and investigate some basic properties of them. We introduce the concepts of hyper lter and hypersemilattice congruence of ternary semi- hypergroups. We give some characterizations of hyper lters in ternary semihypergroups. Some relationships between hyper lters, prime hyper- ideals and hypersemilattice congruences in ternary semihypergroups are considered. We also introduce the notion of hyperideals extensions in ternary semihypergroups and some properties of them are investigated. http://ijmsi.ir/article-1-575-en.pdf 2014-05-01 81 98 10.7508/ijmsi.2014.01.008 Semihypergroup Ternary semihypergroup Hyperideal Prime left hyperideal Semiprime left hyperideal Irreducible left hyperideal Hyper lter Left m-system Left i-system Left p-system. Kostaq Hila kostaq_hila@yahoo.com 1 AUTHOR Bijan Davvaz davvaz@yazd.ac.ir 2 AUTHOR Krisanthi Naka khila@uogj.edu.al 3 AUTHOR
CASE_STUDY ABSTRACTS IN PERSIAN - Vol. 9, No. 1 Please see the full text contains the Pesian abstracts for this volume. http://ijmsi.ir/article-1-844-en.pdf 2016-01-27 99 107 Name of Authors in This Volume 1 AUTHOR