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Articles 1291 - 1320 of 2494
Full-Text Articles in Physical Sciences and Mathematics
Andoyer Equations For Noncollinear Planar Central Configurations, Antonio Carlos Fernandes, Luis Fernando Mello
Andoyer Equations For Noncollinear Planar Central Configurations, Antonio Carlos Fernandes, Luis Fernando Mello
Turkish Journal of Mathematics
In this article we obtain the Andoyer equations for noncollinear planar central configurations taking into account the center of mass of the system. We apply these equations to study two configurations. In the first one we prove that it is not possible to put a square central configuration and an equilateral triangle central configuration as a cocircular central configuration. In the second one we give the central configurations for the noncollinear planar $4$-body problem with one pair of equal positive masses and two null masses.
A Note On The Generalized Matsumoto Relation, Eli̇f Dalyan, Eli̇f Medetoğullari, Mehmetci̇k Pamuk
A Note On The Generalized Matsumoto Relation, Eli̇f Dalyan, Eli̇f Medetoğullari, Mehmetci̇k Pamuk
Turkish Journal of Mathematics
~We give an elementary proof of a relation, first discovered in its full generality by Korkmaz, in the mapping class group of a closed orientable surface. Our proof uses only the well-known relations between Dehn twists.
Generalized Drazin Invertibility Of The Product And Sum Of Two Elements In A Banach Algebra And Its Applications, Honglin Zou, Dijana Mosic, Jianlong Chen
Generalized Drazin Invertibility Of The Product And Sum Of Two Elements In A Banach Algebra And Its Applications, Honglin Zou, Dijana Mosic, Jianlong Chen
Turkish Journal of Mathematics
Let $a,b$ be two commutative generalized Drazin invertible elements in a Banach algebra; the expressions for the generalized Drazin inverse of the product $ab$ and the sum $a+b$ were studied in some current literature on this subject. In this paper, we generalize these results under the weaker conditions $a^{2}b=aba$ and $b^{2}a=bab$. As an application of our results, we obtain some new representations for the generalized Drazin inverse of a block matrix with the generalized Schur complement being generalized Drazin invertible in a Banach algebra, extending some recent works.
$F$-Biminimal Immersions, Fatma Gürler, Ci̇han Özgür
$F$-Biminimal Immersions, Fatma Gürler, Ci̇han Özgür
Turkish Journal of Mathematics
In the present paper, we define $f$-biminimal immersions. We consider $f$-biminimal curves in a Riemannian manifold and $f$-biminimal submanifolds of codimension $1$ in a Riemannian manifold, and we give examples of $f$-biminimal surfaces. Finally, we consider $f$-biminimal Legendre curves in Sasakian space forms and give an example.
Dynamics Of A Predator-Prey System With A Mate-Finding Allee Effect On Prey, Ruiwen Wu, Xiuxaing Liu
Dynamics Of A Predator-Prey System With A Mate-Finding Allee Effect On Prey, Ruiwen Wu, Xiuxaing Liu
Turkish Journal of Mathematics
We consider a predator--prey system with nonmonotonic functional response and a hyperbolic type of mate-finding Allee effect on prey. A detailed mathematical analysis of the system, including the stability and a series of bifurcations (a saddle-node, a Hopf, and a Bogdanov--Takens bifurcation), has been given. The mathematical results show that the system is highly sensitive to the parameters and initial status. It exhibits a stable limit cycle, or different types of heteroclinic curves, or a homoclinic loop when parameters take suitable values.
Numerical Method For Solving Linear Stochasticito-Volterra Integral Equations Driven By Fractional Brownian Motion Using Hat Functions, Bentol Hoda Hashemi, Morteza Khodabin, Khosrow Maleknejad
Numerical Method For Solving Linear Stochasticito-Volterra Integral Equations Driven By Fractional Brownian Motion Using Hat Functions, Bentol Hoda Hashemi, Morteza Khodabin, Khosrow Maleknejad
Turkish Journal of Mathematics
In this paper, we present a numerical method to approximate the solution of linear stochastic Ito-Volterra integral equations driven by fractional Brownian motion with Hurst parameter $ H \in (0,1)$ based on a stochastic operational matrix of integration for generalized hat basis functions. We obtain a linear system of algebraic equations with a lower triangular coefficients matrix from the linear stochastic integral equation, and by solving it we get an approximation solution with accuracy of order $ \emph{O}(h^2)$. This numerical method shows that results are more accurate than the block pulse functions method where the rate of convergence is $ …
Evolution Equations With A Parameter And Application To Transport-Convection Differential Equations, Emile Franc Doungmo Goufo
Evolution Equations With A Parameter And Application To Transport-Convection Differential Equations, Emile Franc Doungmo Goufo
Turkish Journal of Mathematics
We deeply investigate the well-posedness of models taking the form $_0^AD^{\beta }_tu(t) = Au(t),\;\; u(0)= \,f,\;\;\;00$ where $_0^AD^{\beta }_t$ is a derivative with the fractional parameter $\beta$ and $A$ is a closed densely defined operator in a Banach space. We show that, unlike other systems, solutions of our models are not governed by Mittag--Leffler functions and their variants. We extend and adapt Peano's idea to our models and establish conditions for existence and uniqueness of solutions. In particular, relations between the two-parameter solution operator, its resolvent, and its generator are provided; the issue of subordination and prolongation principles are addressed; …
Stability Of Nonmonotone Critical Traveling Waves Forspatially Discrete Reaction-Diffusion Equations With Time Delay, Ge Tian, Guobao Zhang, Zhao-Xing Yang
Stability Of Nonmonotone Critical Traveling Waves Forspatially Discrete Reaction-Diffusion Equations With Time Delay, Ge Tian, Guobao Zhang, Zhao-Xing Yang
Turkish Journal of Mathematics
This paper is concerned with the existence and stability of critical traveling waves (waves with minimal speed $c=c_*$) for a nonmonotone spatially discrete reaction-diffusion equation with time delay. We first show the existence of critical traveling waves by a limiting argument. Then, using the technical weighted energy method with some new variations, we prove that the critical traveling waves $\phi(x+c_{*}t)$ (monotone or nonmonotone) are time-asymptotically stable when the initial perturbations are small in a certain weighted Sobolev norm.
Asymptotic For A Second-Order Evolution Equation With Convex Potential Andvanishing Damping Term, Ramzi May
Asymptotic For A Second-Order Evolution Equation With Convex Potential Andvanishing Damping Term, Ramzi May
Turkish Journal of Mathematics
In this short note, we recover by a different method the new result due to Attouch, Chbani, Peyrouqet, and Redont concerning the weak convergence as $t\rightarrow+\infty$ of solutions $x(t)$ to the second-order differential equation $x^{\prime\prime}(t)+\frac{K}{t}x^{\prime}(t)+\nabla\Phi(x(t))=0,$ where $K>3$ and $\Phi$\ is a smooth convex function defined on a Hilbert space $\mathcal{H}.$ Moreover, we improve their result on the rate of convergence of $\Phi(x(t))-\min\Phi.$
Second Hankel Determinant For Certain Subclasses Ofbi-Univalent Functions, Murat Çağlar, Erhan Deni̇z, Hari Mohan Srivastava
Second Hankel Determinant For Certain Subclasses Ofbi-Univalent Functions, Murat Çağlar, Erhan Deni̇z, Hari Mohan Srivastava
Turkish Journal of Mathematics
In the present paper, we obtain the upper bounds for the second Hankel determinant for certain subclasses of analytic and bi-univalent functions. Moreover, several interesting applications of the results presented here are also discussed.
A Two-Obstacle Problem With Variable Exponent And Measure Data, Hongtao Li, Xiaojuan Chai
A Two-Obstacle Problem With Variable Exponent And Measure Data, Hongtao Li, Xiaojuan Chai
Turkish Journal of Mathematics
We consider a two-obstacle problem with measure data. For measures that do not charge sets of zero $p(\cdot)$-capacity, we obtain the existence and uniqueness of the solution. On the other hand, for the measure concentrated on a set with zero $p(\cdot)$-capacity, we prove a nonexistence result in the sense that when one looks for solutions via approximation, one cannot find a reasonable solution; see Theorem 2.3 and Remark 2.1 below.
Simultaneous Strong Proximinality In Banach Spaces, Sahil Gupta, Tulsi Dass Narang
Simultaneous Strong Proximinality In Banach Spaces, Sahil Gupta, Tulsi Dass Narang
Turkish Journal of Mathematics
Several researchers have discussed the problem of strong proximinality in Banach spaces. In this paper, we generalize the notion of strong proximinality and define simultaneous strong proximinality. It is proved that if $W$ is a simultaneously approximatively compact subset of a Banach space $X$ then $W$ is simultaneously strongly proximinal and the converse holds if the set of all best simultaneous approximations to every bounded subset $S$ of $X$ from $W$ is compact. We show that simultaneously strongly Chebyshev sets are precisely the sets that are simultaneously strongly proximinal and simultaneously Chebyshev. It is also proved that if $F$ and …
Choosing The Relaxation Parameter In Sequential Block-Iterativemethods For Linear Systems, Touraj Nikazad, Shsghayegh Heidarzade
Choosing The Relaxation Parameter In Sequential Block-Iterativemethods For Linear Systems, Touraj Nikazad, Shsghayegh Heidarzade
Turkish Journal of Mathematics
In this paper we introduce two strategies for picking relaxation parameters to control the semiconvergence behavior of a sequential block-iterative method. A convergence analysis is presented. We also demonstrate the performance of our strategies by examples taken from tomographic imaging.
Arithmetic Properties Of $\Ell$-Regular Overpartition Pairs, Megadahalli Siddanaika Mahadeva Naika, Chandrappa Shivashankar
Arithmetic Properties Of $\Ell$-Regular Overpartition Pairs, Megadahalli Siddanaika Mahadeva Naika, Chandrappa Shivashankar
Turkish Journal of Mathematics
In this paper, we investigate the arithmetic properties of $\ell$-regular overpartition pairs. Let $\overline{B}_{\ell}(n)$ denote the number of $\ell$-regular overpartition pairs of $n$. We will prove the number of Ramanujan-like congruences and infinite families of congruences modulo 3, 8, 16, 36, 48, 96 for $\overline{B}_3(n)$ and modulo 3, 16, 64, 96 for $\overline{B}_4(n)$. For example, we find that for all nonnegative integers $\alpha$ and $n$, $\overline{B}_{3}(3^{\alpha}(3n+2))\equiv 0\pmod{3}$, $\overline{B}_{3}(3^{\alpha}(6n+4))\equiv 0\pmod{3}$, and $\overline{B}_{4}(8n+7)\equiv 0\pmod{64}$.
A Goal Programming Approach For Solving The Random Interval Linear Programming Problem, Ziba Arjmandzadeh, Mohammadreza Safi
A Goal Programming Approach For Solving The Random Interval Linear Programming Problem, Ziba Arjmandzadeh, Mohammadreza Safi
Turkish Journal of Mathematics
This paper presents a goal programming model for solving linear programming problems involving random interval coefficients. In this model, a random interval with known characters is considered as the aspiration level (target) of the objective function. The original problem involving random interval parameters is transformed into a biobjective equivalent problem using the proposed model. Defining an auxiliary variable, an approach for solving the biobjective problem is presented. Two numerical examples are carried out to show the efficiency of the proposed model.
Convergence Analysis Of Parabolic Basis Functions For Solving Systems Of Linear And Nonlinear Fredholm Integral Equations, Yousef Jafarzadeh, Bagher Keramati
Convergence Analysis Of Parabolic Basis Functions For Solving Systems Of Linear And Nonlinear Fredholm Integral Equations, Yousef Jafarzadeh, Bagher Keramati
Turkish Journal of Mathematics
In this paper, a computational method based on a hybrid of parabolic and block-pulse functions is proposed to solve a system of linear and special nonlinear Fredholm integral equations of the second kind. The convergence and error bound are analyzed. Numerical examples are given to illustrate the efficiency of the method.
When Zero-Divisor Graphs Are Divisor Graphs, Emad Abu Osba, Osama Alkam
When Zero-Divisor Graphs Are Divisor Graphs, Emad Abu Osba, Osama Alkam
Turkish Journal of Mathematics
Let $R$ be a finite commutative principal ideal ring with unity. In this article, we prove that the zero-divisor graph $\Gamma(R)$ is a divisor graph if and only if $R$ is a local ring or it is a product of two local rings with at least one of them having diameter less than $2$. We also prove that $\Gamma(R)$ is a divisor graph if and only if $\Gamma(R[x])$ is a divisor graph if and only if $\Gamma(R[[x]])$ is a divisor graph.
Penalty-Free Method For Nonsmooth Constrained Optimization Via Radial Basis Functions, Fardin Rahmanpour, Mohammad Mehdi Hosseini, Farid Mohammad Maalek Ghaini
Penalty-Free Method For Nonsmooth Constrained Optimization Via Radial Basis Functions, Fardin Rahmanpour, Mohammad Mehdi Hosseini, Farid Mohammad Maalek Ghaini
Turkish Journal of Mathematics
We consider a general class of nonlinear constrained optimization problems, where derivatives of the objective function and constraints are unavailable. This property of problems can often impede the performance of optimization algorithms. Most algorithms usually determine a quasi-Newton direction and then use line search techniques. We propose a smoothing algorithm without the need to use a penalty function. A new algorithm is developed to modify the trust region and to handle the constraints based on radial basis functions (RBFs). The value of the objective function is reduced according to the relation of the predicted reduction of constraint violation achieved by …
Canonical Involution On Double Jet Bundles, Hülya Kadioğlu
Canonical Involution On Double Jet Bundles, Hülya Kadioğlu
Turkish Journal of Mathematics
In this study, we generalize double tangent bundles to double jet bundles. We present a secondary vector bundle structure on a 1-jet of a vector bundle. We show that the 1-jet of a vector bundle carries two vector bundle structures, namely primary and secondary structures. We also show that the manifold charts induced by primary and secondary structures belong to the same atlas. We prove that double jet bundles can be considered as a quotient of the second order jet bundle. We show that there exists a natural involution that interchanges between primary and secondary vector bundle structures on double …
Coefficient Bounds For A New Subclass Of Analytic Bi-Close-To-Convex Functions By Making Use Of Faber Polynomial Expansion, Fethi̇ye Müge Sakar, Hatun Özlem Güney
Coefficient Bounds For A New Subclass Of Analytic Bi-Close-To-Convex Functions By Making Use Of Faber Polynomial Expansion, Fethi̇ye Müge Sakar, Hatun Özlem Güney
Turkish Journal of Mathematics
Recently, in the literature, we can see quite a few papers about general coefficient bounds for subclasses of bi-univalent functions. However, we can find just a few papers about general coefficient estimates for subclasses of bi-close-to-convex functions. In the present study, we give and look into a new subclass of analytic and bi-close-to-convex functions in the open unit disk. Making use of the Faber series, we have an upper bound for the general coefficient of functions in this class. We also demonstrate the invisible behavior of the beginning coefficients of a special subclass of bi-close-to-convex functions.
On The Stochastic Decomposition Property Of Single Server Retrialqueuing Systems, Nawel Arrar, Natalia Djellab, Jean-Bernard Baillon
On The Stochastic Decomposition Property Of Single Server Retrialqueuing Systems, Nawel Arrar, Natalia Djellab, Jean-Bernard Baillon
Turkish Journal of Mathematics
The study of retrial queuing systems presents great analytical difficulties. Detailed results are available for some models, whereas for other models the obtained results revealed poor information and are cumbersome (they contain Laplace transforms, integral expressions, etc.). Therefore, in practice, they present limited performance. Often, to overcome this difficulty, we use an approach based on the stochastic decomposition property that can be possessed by the model. It offers the advantages of simplification of solving complex models. This paper deals with the stochastic decomposition property of an M$^{X}$/G/1 retrial queue with impatient customers and exponential retrial times and of an M/G/1 …
Generalized Convolution Product For An Integral Transform On A Wiener Space, Byoung Soo Kim, Il Yoo
Generalized Convolution Product For An Integral Transform On A Wiener Space, Byoung Soo Kim, Il Yoo
Turkish Journal of Mathematics
We introduce a generalized convolution product $(F*G)_{\vec\alpha,\vec\beta}$ for integral transform ${\mathcal F}_{\gamma,\eta}$ for functionals defined on $K[0,T]$, the space of complex valued continuous functions on $[0,T]$ that vanish at zero. We study some interesting properties of our generalized convolution product and establish various relationships that exist among the generalized convolution product, the integral transform, and the first variation for functionals defined on $K[0,T]$. We also discuss the associativity of the generalized convolution product.
Positive Periodic Solutions To Impulsive Delay Differentialequations, Naima Daoudi-Merzagui, Fatima Dib
Positive Periodic Solutions To Impulsive Delay Differentialequations, Naima Daoudi-Merzagui, Fatima Dib
Turkish Journal of Mathematics
In this paper we discuss the existence of positive periodic solutions for nonautonomous second order delay differential equations with singular nonlinearities in the presence of impulsive effects. Simple sufficient conditions are provided that enable us to obtain positive periodic solutions. Our approach is based on a variational method.
Permutation Groups With Cyclic-Block Property And $Mnfc$-Groups, Ali̇ Osman Asar
Permutation Groups With Cyclic-Block Property And $Mnfc$-Groups, Ali̇ Osman Asar
Turkish Journal of Mathematics
This work continues the investigation of perfect locally finite minimal non-$FC$-groups in totally imprimitive permutation $p$-groups. At present, the class of totally imprimitive permutation $p$-groups satisfying the cyclic-block property is known to be the only class of $p$-groups having common properties with a hypothetical minimal non-$FC$-group, because a totally imprimitive permutation $p$-group satisfying the cyclic-block property cannot be generated by a subset of finite exponent and every non-$FC$-subgroup of it is transitive, which are the properties satisfied by a minimal non-$FC$-group. Here a sufficient condition is given for the nonexistence of minimal non-$FC$-groups in this class of permutation groups. In …
Unicorn Metrics With Almost Vanishing ${\Bf H}$- And ${\Bf \Xi}$-Curvatures, Akbar Tayebi, Tayebeh Tabatabaeifar
Unicorn Metrics With Almost Vanishing ${\Bf H}$- And ${\Bf \Xi}$-Curvatures, Akbar Tayebi, Tayebeh Tabatabaeifar
Turkish Journal of Mathematics
In this paper, we consider a class of almost regular $(\alpha, \beta)$-metrics constructed by Shen called unicorn metrics. First, we prove that every unicorn metric with almost vanishing ${\bf H}$-curvature is a Berwald metric. Then we show that every unicorn metric with almost vanishing $\Xi$-curvature reduces to a Berwald metric.
Cardinal Hermite Interpolant Multiscaling Functions For Solving A Parabolic Inverse Problem, Elmira Ashpazzadeh, Mehrdad Lakestani, Mohsen Razzaghi
Cardinal Hermite Interpolant Multiscaling Functions For Solving A Parabolic Inverse Problem, Elmira Ashpazzadeh, Mehrdad Lakestani, Mohsen Razzaghi
Turkish Journal of Mathematics
An effective method based upon cardinal Hermite interpolant multiscaling functions is proposed for the solution of the one-dimensional parabolic partial differential equation with given initial condition and known boundary conditions and subject to overspecification at a point in the spatial domain. The properties of multiscaling functions are first presented. These properties together with a collocation method are then utilized to reduce the parabolic inverse problem to the solution of algebraic equations. The scheme described is efficient. The numerical results obtained using the present algorithms for test problems show that this method can solve the model effectively.
Terminal Value Problem For Causal Differential Equations With A Caputofractional Derivative, Coşkun Yakar, Mehmet Arslan
Terminal Value Problem For Causal Differential Equations With A Caputofractional Derivative, Coşkun Yakar, Mehmet Arslan
Turkish Journal of Mathematics
In this paper, we have given new definitions and obtained the unique solution of a fractional causal terminal value problem by combining the technique of generalized quasilinearization in the sense of upper and lower solutions.
The Ptolemaean Inequality In The Closure Of Complex Hyperbolic Planes, Ioannis D. Platis, Ni̇lgün Sönmez
The Ptolemaean Inequality In The Closure Of Complex Hyperbolic Planes, Ioannis D. Platis, Ni̇lgün Sönmez
Turkish Journal of Mathematics
We prove the Ptolemaean inequality andPtolemaeus' theorem in the closure of complex hyperbolic planes endowed with theCygan metric.
Schanuel's Lemma, The Snake Lemma, And Product And Direct Sum In $H_V$-Modules, Yaser Vaziri, Mansour Ghadiri
Schanuel's Lemma, The Snake Lemma, And Product And Direct Sum In $H_V$-Modules, Yaser Vaziri, Mansour Ghadiri
Turkish Journal of Mathematics
In this paper we find a generalization of the snake lemma and Schanuel's lemma in $H_v$-modules. We define the isomorph sequences and determine the conditions to split the exact sequences in $H_v$-modules. Some interesting results on these concepts are given.
Some Results On Uniform Statistical Cluster Points, Tuğba Yurdakadi̇m, Leila Miller-Van Wieren
Some Results On Uniform Statistical Cluster Points, Tuğba Yurdakadi̇m, Leila Miller-Van Wieren
Turkish Journal of Mathematics
In this paper, we present some results linking the uniform statistical limit superior and inferior, almost convergence and uniform statistical convergence of a sequence.We also study the relationship between the set of uniform statistical cluster points of a given sequence and its subsequences. The resultsconcerning uniform statistical convergence and uniform statistical cluster points presented here are also closelyrelated to earlier results regarding statistical convergence and statistical cluster points of a sequence.