Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
On the theory of strips and Joachimsthal theorem in the Lorentz space , 3
327
330
EN
A.
Tutar
Ondokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, Turkey
atutar@omu.edu.tr
O.
Sener
Ondokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, Turkey
10.22099/ijsts.2014.2083
In 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.
Curvature strip,semi-Euclidean space,Joachimsthal Theorem
http://ijsts.shirazu.ac.ir/article_2083.html
http://ijsts.shirazu.ac.ir/article_2083_2e90d0ffa0ad15e2a15584a9c4a564d1.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
Numerical solution of nonlinear optimal control problems based on state parametrization
331
340
EN
B.
Kafash
Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran
bkafash@stu.yazduni.ac.ir
A.
Delavarkhalafi
Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran
S. M.
Karbassi
Faculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, P.O.Box 89195/155, Iran
10.22099/ijsts.2014.2084
In 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.
Optimal control problems,state parametrization,control linear oscillator and duffing oscillator,weierstrass approximation theorem
http://ijsts.shirazu.ac.ir/article_2084.html
http://ijsts.shirazu.ac.ir/article_2084_c69f285ac6417631eb1ffcd1ef35724b.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
Some new double sequence spaces in 2-normed spaces defined by two valued measure
341
349
EN
E.
Savas
Department of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, Turkey
esavas@iticu.edu.tr
10.22099/ijsts.2014.2085
In 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.
convergence,μ-statistical convergence,convergence in μ-density,Orlicz function,2-normed space,paranormed space,double sequence space
http://ijsts.shirazu.ac.ir/article_2085.html
http://ijsts.shirazu.ac.ir/article_2085_3b99a9e4420bd0c07a971d79283eb10e.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
On the convergence of the VHPM for the Zakharove-Kuznetsov equations
351
358
EN
M.
Matinfar
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, Iran
M.
Ghasemi
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, Iran
M.
Saeidy
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, Iran
10.22099/ijsts.2014.2086
In 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.
Variational homotopy perturbation method,convergence,Zakharove-Kuznetsov equation
http://ijsts.shirazu.ac.ir/article_2086.html
http://ijsts.shirazu.ac.ir/article_2086_2ebee92b345b584f60258c34168703dc.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
The modified Exp-function method and its applications to the generalized K(n,n) and BBM equations with variable coefficients
359
365
EN
E. M. E.
Zayed
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
e.m.e.zayed@hotmail.com
Abdelaziz
M. A. M.
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
10.22099/ijsts.2014.2087
In 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.
Generalized K(n,n) equation with variable coefficients,generalized BBM equation with variable
coefficients,exact traveling wave solutions,exp-function method
http://ijsts.shirazu.ac.ir/article_2087.html
http://ijsts.shirazu.ac.ir/article_2087_602e34ed8c921b4e63ba5f28759abab8.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
Bounds on the signed distance--domination number of graphs
367
370
EN
D. A.
Mojdeh
Department of Mathematics, University of Tafresh, Tafresh, Iran
damojdeh@umz.ac.ir
B.
Samadi
School of Mathematics, Institute for Research in Fundamental
Sciences (IPM) Tehran, Iran, P.O. Box 19395-5746
S. M.
Hosseini Moghaddam
Shahab Danesh Institute of Higher Education, Qom, Iran
10.22099/ijsts.2014.2088
Let , 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.
Signed distance--dominating function,th power of a graph
http://ijsts.shirazu.ac.ir/article_2088.html
http://ijsts.shirazu.ac.ir/article_2088_c5af88b0160d6586dccc3fe99fa04e5f.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
On compact operators on the Riesz -difference sequence spaces-II
371
376
EN
M.
Basarir
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
basarir@sakarya.edu.tr
E. E.
Kara
Department of Mathematics, Bilecik University, 11210, Bilecik, Turkey
10.22099/ijsts.2014.2089
The 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.
-difference sequence spaces,Hausdorff measure of noncompactness,compact operators
http://ijsts.shirazu.ac.ir/article_2089.html
http://ijsts.shirazu.ac.ir/article_2089_c2027cef32b871f2fca064fba1e0101a.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
On a class of locally dually flat Finsler metrics with isotropic S-curvature
377
382
EN
A.
Tayebi
Department of Mathematics and Computer Science, University of Qom, Qom, Iran
E.
Peyghan
Department of Mathematics and Computer Science, Arak University, Arak 38156-8-8349, Iran
epeyghan@gmail.com
H.
Sadeghi
Department of Mathematics and Computer Science, University of Qom, Qom, Iran
10.22099/ijsts.2014.2090
Dually 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.
Locally dually flat metric,S-curvature
http://ijsts.shirazu.ac.ir/article_2090.html
http://ijsts.shirazu.ac.ir/article_2090_2921a61244187cfec410862b01289418.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
Interesting dynamic behavior in some discrete maps
383
389
EN
L. M.
Saha
Mathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi, India
lmsaha.msf@gmail.com
S.
Prasad
Department of Mathematics, University of Delhi, Delhi-110007, India
G. H.
Erjaee
Mathematics Department, Shiraz University, Shiraz, Iran
10.22099/ijsts.2014.2091
Different 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.
Bifurcation,Lyapunov exponent,periodic attractor,correlation dimension
http://ijsts.shirazu.ac.ir/article_2091.html
http://ijsts.shirazu.ac.ir/article_2091_34cd11f40f65ab6d55ba498e0d4cfb19.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2014
09
01
The uniqueness theorem for discontinuous boundary value problems with aftereffect using the nodal points
391
394
EN
A.
Dabbaghian
Islamic Azad University, Neka Branch, Neka, Iran
a.dabbaghian@iauneka.ac.ir
Sh.
Akbarpour
Islamic Azad University, Jouybar Branch, Jouybar, Iran
A.
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
10.22099/ijsts.2014.2092
In 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.
Uniqueness Theorem,nodal Points,discontinuous conditions,eigenvalues,eigenfunctions
http://ijsts.shirazu.ac.ir/article_2092.html
http://ijsts.shirazu.ac.ir/article_2092_d844507e488833158ba158a039e5ac73.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2012
09
01
Characterizations of ternary semigroups by ,qk -fuzzy ideals
395
410
EN
M.
Shabir
Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan
N.
Rehman
Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan
noorrehman82@yahoo.com
10.22099/ijsts.2012.2093
In 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.
Ternary semigroups, k ,q -fuzzy ideals, k ,q -fuzzy quasi-ideals, k ,q -
fuzzy bi-ideals
http://ijsts.shirazu.ac.ir/article_2093.html
http://ijsts.shirazu.ac.ir/article_2093_57f7ed00a6d5cfe0e7519f9746427aae.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
36
Issue 3.1
2012
09
01
Common fixed point theorems for sequences of mappings with some weaker conditions
411
416
EN
Kh.
Abd-Rabou
Department of Mathematics, Faculty of Science, Zagazig University, Egypt
Department of Mathematics, Community College, Shaqra University, Al-qawwiya, K. S. A
k_abdrabo@yahoo.com
10.22099/ijsts.2012.2094
In 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.
common fixed point,single and set-valued mappings,weak commutativity of type (KB)
http://ijsts.shirazu.ac.ir/article_2094.html
http://ijsts.shirazu.ac.ir/article_2094_660d64be0d7f9e54361e77aa36b88c32.pdf