On the theory of strips and Joachimsthal theorem in the Lorentz space , 3
A.
Tutar
Ondokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, Turkey
author
O.
Sener
Ondokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, Turkey
author
text
article
2014
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
327
330
http://ijsts.shirazu.ac.ir/article_2083_2e90d0ffa0ad15e2a15584a9c4a564d1.pdf
dx.doi.org/10.22099/ijsts.2014.2083
Numerical solution of nonlinear optimal control problems based on state parametrization
B.
Kafash
Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran
author
A.
Delavarkhalafi
Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran
author
S. M.
Karbassi
Faculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, P.O.Box 89195/155, Iran
author
text
article
2014
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
331
340
http://ijsts.shirazu.ac.ir/article_2084_c69f285ac6417631eb1ffcd1ef35724b.pdf
dx.doi.org/10.22099/ijsts.2014.2084
Some new double sequence spaces in 2-normed spaces defined by two valued measure
E.
Savas
Department of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, Turkey
author
text
article
2014
eng
In this paper, following the methods of Connor, we introduce some new generalized double difference sequencespaces 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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
341
349
http://ijsts.shirazu.ac.ir/article_2085_3b99a9e4420bd0c07a971d79283eb10e.pdf
dx.doi.org/10.22099/ijsts.2014.2085
On the convergence of the VHPM for the Zakharove-Kuznetsov equations
M.
Matinfar
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, Iran
author
M.
Ghasemi
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, Iran
author
M.
Saeidy
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 47415-95447, Babolsar, Iran
author
text
article
2014
eng
In this paper, the variational homotopy perturbation method (VHPM) and its convergence is adopted for theZakharove-Kuznetsov equations (ZK-equations). The aim of this paper is to present an efficient and reliabletreatment of the VHPM for the nonlinear partial differential equations and show that this method is convergent.The convergence of the applied method is approved using the method of majorants from Cauchy-Kowalevskayatheorem of differential equations with analytical vector field.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
351
358
http://ijsts.shirazu.ac.ir/article_2086_2ebee92b345b584f60258c34168703dc.pdf
dx.doi.org/10.22099/ijsts.2014.2086
The modified Exp-function method and its applications to the generalized K(n,n) and BBM equations with variable coefficients
E. M. E.
Zayed
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
author
Abdelaziz
M. A. M.
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
author
text
article
2014
eng
In this article, the modified exp-function method is used to construct many exact solutions to the nonlineargeneralized K(n,n) and BBM equations with variable coefficients. Under different parameter conditions, explicitformulas for some new exact solutions are successfully obtained. The proposed solutions are found to beimportant for the explanation of some practical physical problems.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
359
365
http://ijsts.shirazu.ac.ir/article_2087_602e34ed8c921b4e63ba5f28759abab8.pdf
dx.doi.org/10.22099/ijsts.2014.2087
Bounds on the signed distance--domination number of graphs
D. A.
Mojdeh
Department of Mathematics, University of Tafresh, Tafresh, Iran
author
B.
Samadi
School of Mathematics, Institute for Research in Fundamental
Sciences (IPM) Tehran, Iran, P.O. Box 19395-5746
author
S. M.
Hosseini Moghaddam
Shahab Danesh Institute of Higher Education, Qom, Iran
author
text
article
2014
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
367
370
http://ijsts.shirazu.ac.ir/article_2088_c5af88b0160d6586dccc3fe99fa04e5f.pdf
dx.doi.org/10.22099/ijsts.2014.2088
On compact operators on the Riesz -difference sequence spaces-II
M.
Basarir
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
author
E. E.
Kara
Department of Mathematics, Bilecik University, 11210, Bilecik, Turkey
author
text
article
2014
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
371
376
http://ijsts.shirazu.ac.ir/article_2089_c2027cef32b871f2fca064fba1e0101a.pdf
dx.doi.org/10.22099/ijsts.2014.2089
On a class of locally dually flat Finsler metrics with isotropic S-curvature
A.
Tayebi
Department of Mathematics and Computer Science, University of Qom, Qom, Iran
author
E.
Peyghan
Department of Mathematics and Computer Science, Arak University, Arak 38156-8-8349, Iran
author
H.
Sadeghi
Department of Mathematics and Computer Science, University of Qom, Qom, Iran
author
text
article
2014
eng
Dually flat Finsler metrics form a special and valuable class of Finsler metrics in Finsler information geometry,which play a very important role in studying flat Finsler information structure. In this paper, we prove that everylocally dually flat generalized Randers metric with isotropic S-curvature is locally Minkowskian.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
377
382
http://ijsts.shirazu.ac.ir/article_2090_2921a61244187cfec410862b01289418.pdf
dx.doi.org/10.22099/ijsts.2014.2090
Interesting dynamic behavior in some discrete maps
L. M.
Saha
Mathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi, India
author
S.
Prasad
Department of Mathematics, University of Delhi, Delhi-110007, India
author
G. H.
Erjaee
Mathematics Department, Shiraz University, Shiraz, Iran
author
text
article
2014
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
383
389
http://ijsts.shirazu.ac.ir/article_2091_34cd11f40f65ab6d55ba498e0d4cfb19.pdf
dx.doi.org/10.22099/ijsts.2014.2091
The uniqueness theorem for discontinuous boundary value problems with aftereffect using the nodal points
A.
Dabbaghian
Islamic Azad University, Neka Branch, Neka, Iran
author
Sh.
Akbarpour
Islamic Azad University, Jouybar Branch, Jouybar, Iran
author
A.
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
author
text
article
2014
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2014
391
394
http://ijsts.shirazu.ac.ir/article_2092_d844507e488833158ba158a039e5ac73.pdf
dx.doi.org/10.22099/ijsts.2014.2092
Characterizations of ternary semigroups by ,qk -fuzzy ideals
M.
Shabir
Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan
author
N.
Rehman
Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan
author
text
article
2012
eng
In this paper we have generalized the concepts of ,q-fuzzy ideals, ,q-fuzzy quasi-ideals and,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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2012
395
410
http://ijsts.shirazu.ac.ir/article_2093_57f7ed00a6d5cfe0e7519f9746427aae.pdf
dx.doi.org/10.22099/ijsts.2012.2093
Common fixed point theorems for sequences of mappings with some weaker conditions
Kh.
Abd-Rabou
Department of Mathematics, Faculty of Science, Zagazig University, Egypt
Department of Mathematics, Community College, Shaqra University, Al-qawwiya, K. S. A
author
text
article
2012
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
36
v.
Issue 3.1
no.
2012
411
416
http://ijsts.shirazu.ac.ir/article_2094_660d64be0d7f9e54361e77aa36b88c32.pdf
dx.doi.org/10.22099/ijsts.2012.2094