Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
The behavior of homological dimensions
1
10
EN
M.
Ansari
Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.
ansari.moh@gmail
E.
Hosseini
Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.
esmaeilmath@gmail.com
Let R be a commutative noetherian ring. We study the behavior of injectiveand at dimension of R-modules under the functors HomR(-,-) and -×R-.
http://msj.iau-arak.ac.ir/article_515313.html
http://msj.iau-arak.ac.ir/article_515313_09bca7e37624a1c0d64013f3852efa07.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
Some Results for CAT(0) Spaces
11
19
EN
M.
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
masadi@azu.ac.ir
S.M.
Vaezpour
Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran,
Iran.
M.
Soleymani
Department of Mathematics, Malayer Branch, Islamic Azad University, Malayer, Iran.
We shall generalize the concept of z = (1-t)+ty to n times which containsto verify some their properties and inequalities in CAT(0) spaces. In the sequelwith introducing of -nonexpansive mappings, we obtain some xed points andapproximate fixed points theorems.
http://msj.iau-arak.ac.ir/article_515378.html
http://msj.iau-arak.ac.ir/article_515378_78a4a9250206fef8e3dc4b1472040caf.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
Modeling, simulation and analysis of a multi degree of freedom aircraft wing model
21
62
EN
Xueguang
Bia
Stanley Security Solutions, Inc., Shenzhen, Guangdong 518108, China
yucheng.liu@louisiana.edu
Yucheng
Liu
Department of Mechanical Engineering, University of Louisiana, Lafayette, LA 70504, USA
This paper presented methods to determine the aerodynamic forces that acton an aircraft wing during flight. These methods are initially proposed for asimplified two degree-of-freedoms airfoil model and then are extensivelyapplied for a multi-degree-of-freedom airfoil system. Different airspeedconditions are considered in establishing such methods. The accuracy of thepresented methods is verified by comparing the estimated aerodynamic forceswith the actual values. A good agreement is achieved through the comparisonsand it is verified that the present methods can be used to correctly identify theaerodynamic forces acting on the aircraft wing models.
http://msj.iau-arak.ac.ir/article_515379.html
http://msj.iau-arak.ac.ir/article_515379_93d3ea2be772e393cc90a82936584ca0.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
Random fixed point of Meir-Keeler contraction mappings and its application
63
67
EN
H.
Dibachi
Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran.
h-dibachi@iau-arak.ac.ir
In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C → C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with being a sigma-algebra of sub-sets of. Also, we apply such type of random fixed point results to prove theexistence and unicity of a solution for an special random integral equation.
http://msj.iau-arak.ac.ir/article_515380.html
http://msj.iau-arak.ac.ir/article_515380_36e8d67d573cff6a5a2ff90081531049.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
Numerical solution of seven-order Sawada-Kotara equations by homotopy perturbation method
69
77
EN
M.
Ghasemi
Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O.
Box 115, Iran.
meh_ghasemi@yahoo.com
A.
Azizi
Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran.
aramazizi@yahoo.com
M.
Fardi
Department of Mathematics, Islamic Azad University, Boroujen Branch, Boroujen, Iran.
In this paper, an application of homotopy perturbation method is appliedto nding the solutions of the seven-order Sawada-Kotera (sSK) and a Lax'sseven-order KdV (LsKdV) equations. Then obtain the exact solitary-wave so-lutions and numerical solutions of the sSK and LsKdV equations for the initialconditions. The numerical solutions are compared with the known analyticalsolutions. Their remarkable accuracy are nally demonstrated for the bothseven-order equations.
http://msj.iau-arak.ac.ir/article_515381.html
http://msj.iau-arak.ac.ir/article_515381_e0eb49c1bea417d5dc7fe7bd3bf3bbdf.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
A comment on “Supply chain DEA: production possibility set and performance evaluation model
79
87
EN
G.R.
Jahanshahloo
Department of Mathematics, science and Research Branch, Islamic Azad
University,Tehran 14515-775, Iran
M.
Rostamy-Malkhalifeh
Department of Mathematics, science and Research Branch, Islamic Azad
University,Tehran 14515-775, Iran
S.
Izadi-Boroumand
Department of Mathematics, science and Research Branch, Islamic Azad
University,Tehran 14515-775, Iran
s_izadi1363@yahoo.com
In a recent paper in this journal, Yang et al. [Feng Yang, Dexiang Wu,Liang Liang, Gongbing Bi & Desheng Dash Wu (2009), supply chainDEA:production possibility set and performance evaluation model] definedtwo types of supply chain production possibility set which were proved to beequivalent to each other. They also proposed a new model for evaluatingsupply chains. There are, however, some shortcomings in their paper. In thecurrent paper, we correct the model, the theorems, and their proofs.
http://msj.iau-arak.ac.ir/article_515382.html
http://msj.iau-arak.ac.ir/article_515382_cf792bd513a02cc31cb51cdc7fb20736.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
Approximating xed points of generalized non-expansive non-self mappings in CAT(0) spaces
89
95
EN
Saeed
Saeed Shabani
Department of Mathematics, Izeh Branch, Islamic Azad University, Izeh, Iran.
shabani60@gmail.com
S. J.
Hoseini Ghoncheh
Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.
sjhghoncheh@gmail.com
Suppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K → X be anonself mapping, satisfying condition (C) with F(T) :={ x ε K : Tx = x}≠Φ.Suppose fxng is generated iteratively by x1ε K, xn+1 = P((1-αn)xn+αnTP[(1-αn)xn+βnTxn]),n≥1, where {αn }and {βn } are real sequences in[ε,1-ε] for some ε in (0,1). Then {xn} is Δ-convergence to some point x* inF(T). This work extends a result of Laowang and Panyanak [5] to the case ofgeneralized nonexpansive nonself mappings.
http://msj.iau-arak.ac.ir/article_515383.html
http://msj.iau-arak.ac.ir/article_515383_ba0bd270f6b414df6b34d0d79201f95e.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions
97
105
EN
M.
Tavassoli Kajani
Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
mtavassoli@khuisf.ac.ir
S.
Mahdavi
Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. We give some numerical examples. To showapplicability of the proposed method.
http://msj.iau-arak.ac.ir/article_515384.html
http://msj.iau-arak.ac.ir/article_515384_a73b5676a00517a20d70e0cdfca872ad.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
1
2010
01
01
Artinianess of Graded Generalized Local Cohomology Modules
107
117
EN
Sh.
Tahamtan
Department of Mathematics, Islamic Azad University, Borujerd-Branch, Borujerd, iran.
taham_sh@yahoo.com
Let R = L n2N0Rn be a Noetherian homogeneous graded ring with local basering (R0;m0) of dimension d . Let R+ = Ln2NRn denote the irrelevant idealof R and let M and N be two nitely generated graded R-modules. Lett = tR+(M;N) be the rst integer i such that HiR+(M;N) is not minimax.We prove that if i t, then the set AssR0 (HiR+(M;N)n) is asymptoticallystable for n ! 1 and Hjm0 (HiR+(M;N)) is Artinian for 0 j 1. More-over, let s = sR+(M;N) be the largest integer i such that HiR+(M;N) is notminimax. For each i s, we prove that R0m0R0HiR+(M;N) is Artinian andthat Hjm0 (HiR+(M;N)) is Artinian for d 1 j d. Finally we show thatHd2m0 (HsR+(M;N)) is Artinian if and only if Hdm0 (Hs1R+(M;N)) is Artinian.
http://msj.iau-arak.ac.ir/article_515385.html
http://msj.iau-arak.ac.ir/article_515385_ae134bbadf38a780a588e93ce57b0213.pdf