2012
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On the theory of strips and Joachimsthal theorem in the Lorentz space , 3
2
2
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 timelike and spacelike.
1

327
330


A.
Tutar
Ondokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, Turkey
Ondokuz Mayıs University, Science and Arts
Turkey
atutar@omu.edu.tr


O.
Sener
Ondokuz Mayıs University, Science and Arts Faculty, Department of Mathematics,
55139, Atakum, Samsun, Turkey
Ondokuz Mayıs University, Science and Arts
Turkey
Curvature strip
semiEuclidean space
Joachimsthal Theorem
Numerical solution of nonlinear optimal control problems based on state parametrization
2
2
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.
1

331
340


B.
Kafash
Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran
Faculty of Mathematics, Yazd University,
Iran
bkafash@stu.yazduni.ac.ir


A.
Delavarkhalafi
Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran
Faculty of Mathematics, Yazd University,
Iran


S. M.
Karbassi
Faculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, P.O.Box 89195/155, Iran
Faculty of Advanced Education, Islamic Azad
Iran
Optimal control problems
state parametrization
control linear oscillator and duffing oscillator
weierstrass approximation theorem
Some new double sequence spaces in 2normed spaces defined by two valued measure
2
2
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 2normed spaces which have unique nonlinear structure and examine some of their properties.
1

341
349


E.
Savas
Department of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, Turkey
Department of Mathematics, Istanbul Commerce
Turkey
esavas@iticu.edu.tr
convergence
μstatistical convergence
convergence in μdensity
Orlicz function
2normed space
paranormed space
double sequence space
On the convergence of the VHPM for the ZakharoveKuznetsov equations
2
2
In this paper, the variational homotopy perturbation method (VHPM) and its convergence is adopted for theZakharoveKuznetsov equations (ZKequations). 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 CauchyKowalevskayatheorem of differential equations with analytical vector field.
1

351
358


M.
Matinfar
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 4741595447, Babolsar, Iran
Department of Mathematics, Faculty of Sciences,
Iran


M.
Ghasemi
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 4741595447, Babolsar, Iran
Department of Mathematics, Faculty of Sciences,
Iran


M.
Saeidy
Department of Mathematics, Faculty of Sciences, Mazandaran University,
P.O. Box 4741595447, Babolsar, Iran
Department of Mathematics, Faculty of Sciences,
Iran
Variational homotopy perturbation method
convergence
ZakharoveKuznetsov equation
The modified Expfunction method and its applications to the generalized K(n,n) and BBM equations with variable coefficients
2
2
In this article, the modified expfunction 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.
1

359
365


E. M. E.
Zayed
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Mathematics Department, Faculty of Science,
Egypt
e.m.e.zayed@hotmail.com


Abdelaziz
M. A. M.
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Mathematics Department, Faculty of Science,
Egypt
Generalized K(n,n) equation with variable coefficients
generalized BBM equation with variable coefficients
exact traveling wave solutions
expfunction method
Bounds on the signed distancedomination number of graphs
2
2
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 distancedomination number, denoted by ,, is the minimum weight of a signed distancedominating function of . In this paper, we give lower and upper bounds on , of graphs. Also, we determine the signed distancedomination number of graph , (the graph obtained from the disjoint union by adding the edges , ) when 2.
1

367
370


D. A.
Mojdeh
Department of Mathematics, University of Tafresh, Tafresh, Iran
Department of Mathematics, University of
Iran
damojdeh@umz.ac.ir


B.
Samadi
School of Mathematics, Institute for Research in Fundamental
Sciences (IPM) Tehran, Iran, P.O. Box 193955746
School of Mathematics, Institute for Research
Iran


S. M.
Hosseini Moghaddam
Shahab Danesh Institute of Higher Education, Qom, Iran
Shahab Danesh Institute of Higher Education,
Iran
Signed distancedominating function
th power of a graph
On compact operators on the Riesz difference sequence spacesII
2
2
The compact operators on the Riesz sequence space 1 ∞ have been studied by Başarır and Kara, “IJST (2011) A4, 279285”. 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.
1

371
376


M.
Basarir
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
Department of Mathematics, Sakarya University,
Turkey
basarir@sakarya.edu.tr


E. E.
Kara
Department of Mathematics, Bilecik University, 11210, Bilecik, Turkey
Department of Mathematics, Bilecik University,
Turkey
difference sequence spaces
Hausdorff measure of noncompactness
compact operators
On a class of locally dually flat Finsler metrics with isotropic Scurvature
2
2
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 Scurvature is locally Minkowskian.
1

377
382


A.
Tayebi
Department of Mathematics and Computer Science, University of Qom, Qom, Iran
Department of Mathematics and Computer Science,
Iran


E.
Peyghan
Department of Mathematics and Computer Science, Arak University, Arak 3815688349, Iran
Department of Mathematics and Computer Science,
Iran
epeyghan@gmail.com


H.
Sadeghi
Department of Mathematics and Computer Science, University of Qom, Qom, Iran
Department of Mathematics and Computer Science,
Iran
Locally dually flat metric
Scurvature
Interesting dynamic behavior in some discrete maps
2
2
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.
1

383
389


L. M.
Saha
Mathematical Sciences Foundation, N91, Greater Kailash I, New Delhi, India
Mathematical Sciences Foundation, N91, Greater
India
lmsaha.msf@gmail.com


S.
Prasad
Department of Mathematics, University of Delhi, Delhi110007, India
Department of Mathematics, University of
India


G. H.
Erjaee
Mathematics Department, Shiraz University, Shiraz, Iran
Mathematics Department, Shiraz University,
India
Bifurcation
Lyapunov exponent
periodic attractor
correlation dimension
The uniqueness theorem for discontinuous boundary value problems with aftereffect using the nodal points
2
2
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.
1

391
394


A.
Dabbaghian
Islamic Azad University, Neka Branch, Neka, Iran
Islamic Azad University, Neka Branch, Neka,
Iran
a.dabbaghian@iauneka.ac.ir


Sh.
Akbarpour
Islamic Azad University, Jouybar Branch, Jouybar, Iran
Islamic Azad University, Jouybar Branch,
Iran


A.
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of
Iran
Uniqueness Theorem
nodal Points
discontinuous conditions
eigenvalues
eigenfunctions
Characterizations of ternary semigroups by ,qk fuzzy ideals
2
2
In this paper we have generalized the concepts of ,qfuzzy ideals, ,qfuzzy quasiideals and,qfuzzy biideals by introducing the concepts of k ,q fuzzy ideals, k ,q fuzzy quasiideals and k ,q fuzzy biideals 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.
1

395
410


M.
Shabir
Department of Mathematics QuaidiAzam University, Islamabad, Pakistan
Department of Mathematics QuaidiAzam University,
Pakistan


N.
Rehman
Department of Mathematics QuaidiAzam University, Islamabad, Pakistan
Department of Mathematics QuaidiAzam University,
Pakistan
noorrehman82@yahoo.com
Ternary semigroups
k ,q fuzzy ideals
k ,q fuzzy quasiideals
k ,q  fuzzy biideals
Common fixed point theorems for sequences of mappings with some weaker conditions
2
2
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 setvalued mappings by the same weaker conditions. Our results improve, extend and generalizes the corresponding results given by many authors.
1

411
416


Kh.
AbdRabou
Department of Mathematics, Faculty of Science, Zagazig University, Egypt
Department of Mathematics, Community College, Shaqra University, Alqawwiya, K. S. A
Department of Mathematics, Faculty of Science,
Egypt
k_abdrabo@yahoo.com
common fixed point
single and setvalued mappings
weak commutativity of type (KB)