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- Oscillation (23)
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- Fixed point theorem (18)
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- Derivation (16)
- Univalent functions (16)
- Analytic function (15)
- Time scales (15)
- Eigenvalues (14)
- Subordination (14)
- Boundary value problem (13)
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- Asymptotic behavior (10)
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- Collocation method (10)
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- Fractional derivative (10)
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- Spectrum (10)
- Green's function (9)
- Numerical semigroup (9)
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- Riemannian manifold (9)
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- Publication Year
Articles 1981 - 2010 of 2494
Full-Text Articles in Physical Sciences and Mathematics
On The Regular Elements In Z_N, Osama Alkam, Emad Abu Osba
On The Regular Elements In Z_N, Osama Alkam, Emad Abu Osba
Turkish Journal of Mathematics
All rings are assumed to be finite commutative with identity element. An element a \in R is called a regular element if there exists b \in R such that a=a^2b, the element b is called a von Neumann inverse for a. A characterization is given for regular elements and their inverses in Z_n, the ring of integers modulo n. The arithmetic function V(n), which counts the regular elements in Z_n is studied. The relations between V(n) and Euler's phi-function \varphi (n) are explored.
Mixed Type Of Integral Equation With Potential Kernel, Mohamed Abdella A. Abdou, Gamal Mohamed Abd Al-Kader
Mixed Type Of Integral Equation With Potential Kernel, Mohamed Abdella A. Abdou, Gamal Mohamed Abd Al-Kader
Turkish Journal of Mathematics
This paper presents the solution of an integral equation of a mixed type in three-dimensions in the space L_2 (\Omega) \times C[0,T], where T < \infty, and \Omega is the domain of integration with respect to position. The kernel of position integral term is considered in the potential function form, while the kernel of time is considered as a continuous kernel. A linear system of Fredholm integral equations of the first and second kinds are obtained and solved. Krein's method is used to solve the Fredholm integral equation of the first kind, while the second kind is solved numerically.
Posner´S Second Theorem And An Annihilator Condition With Generalized Derivations, Vincenzo De Filippis
Posner´S Second Theorem And An Annihilator Condition With Generalized Derivations, Vincenzo De Filippis
Turkish Journal of Mathematics
Let R be a prime ring of characteristic different from 2, with extended centroid C, U its two-sided Utumi quotient ring, \delta\neq 0 a non-zero generalized derivation of R, f(x_1,..,x_n) a non-central multilinear polynomial over C in n non-commuting variables, a \in R such that a[\delta(f(r_1,..,r_n)),f(r_1,..,r_n)]=0, for any r_1,..,r_n \in R. Then one of the following holds: 1. a=0; 2. there exists \lambda \in C such that \delta(x)=\lambda x, for all x \in R; 3. there exist q \in U and \lambda \in C such that \delta(x)=(q+\lambda)x+xq, for all x\in R, and f(x_1,..,x_n)^2 is central valued on R.
Diametral Dimension And Köthe Spaces, Tosun Terzi̇oğlu
Diametral Dimension And Köthe Spaces, Tosun Terzi̇oğlu
Turkish Journal of Mathematics
We generalize some well-known results about the diametral dimension of classical Köthe spaces
Lyapunov-Type Inequalities For Certain Nonlinear Systems On Time Scales, Mehmet Ünal, Devri̇m Çakmak
Lyapunov-Type Inequalities For Certain Nonlinear Systems On Time Scales, Mehmet Ünal, Devri̇m Çakmak
Turkish Journal of Mathematics
In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus. These inequalities enable us to obtain a criterion of disconjugacy for such systems. Special cases of our results contain the classical Lyapunov inequality for both differential and difference equations.
On Some Algebraic Properties Of Semi-Discrete Hyperbolic Type Equations, İsmagi̇l Habibullin, Asli Pekcan, Natalya Zheltukhina
On Some Algebraic Properties Of Semi-Discrete Hyperbolic Type Equations, İsmagi̇l Habibullin, Asli Pekcan, Natalya Zheltukhina
Turkish Journal of Mathematics
Nonlinear semi-discrete equations of the form t_x(n+1) = f(t(n), t(n+1), t_x(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this notion to the classification of Darboux integrable chains has been undertaken.
On Generalized Solution Of A Class Of Higher Order Operator-Differential Equations, Rovshan Z. Gumbataliev
On Generalized Solution Of A Class Of Higher Order Operator-Differential Equations, Rovshan Z. Gumbataliev
Turkish Journal of Mathematics
In this paper the sufficient conditions on the existence and uniqueness of a generalized solution on the axis are obtained for higher order operator-differential equations, the main part of which is multi characteristic.
Primary Finitely Compactly Packed Modules And S-Avoidance Theorem For Modules, Arwa Eid Ashour
Primary Finitely Compactly Packed Modules And S-Avoidance Theorem For Modules, Arwa Eid Ashour
Turkish Journal of Mathematics
In this paper we introduce the concept of primary finitely compactly packed modules, which generalizes the concept of primary compactly packed modules. We first find the conditions that make the primary finitely compactly packed modules primary compactly packed. Also, several results on the primary finitely compactly packed modules are proved. In addition, the necessary and sufficient conditions for an R-module M to be primary finitely compactly packed are investigated. Finally, we introduce the S-Avoidance Theorem for modules.
A Numerical Solution Of Wave Equation Arising In Non-Homogeneous Cylindrical Shells, Allaberen Ashyralyev, Mehmet Emi̇r Köksal
A Numerical Solution Of Wave Equation Arising In Non-Homogeneous Cylindrical Shells, Allaberen Ashyralyev, Mehmet Emi̇r Köksal
Turkish Journal of Mathematics
A numerical solution of wave equation arising in non-homogeneous cylindrical shells\ is considered. Stable numerical schemes are developed. The stability estimates for the solution of these difference schemes and first and second order difference derivatives are presented. Applying the difference schemes, the numerical methods are proposed for solving the the given initial-boundary value problem.
Radical Anti-Invariant Lightlike Submanifolds Of Semi-Riemannian Product Manifolds, Erol Kiliç, Bayram Şahi̇n
Radical Anti-Invariant Lightlike Submanifolds Of Semi-Riemannian Product Manifolds, Erol Kiliç, Bayram Şahi̇n
Turkish Journal of Mathematics
We introduce radical anti-invariant lightlike submanifolds of a semi Riemannian product manifold and give examples. After we obtain the conditions of integrability of distributions which are involved in the definition of radical anti-invariant lightlike submanifolds, we investigate the geometry of leaves of distributions. We also obtain the induced connection is a metric connection and a radical anti-invariant lightlike submanifold is a product manifold under certain conditions. Finally, we study totally umbilical radical anti-invariant lightlike submanifolds and observe that they are totally geodesic under a condition.
Sufficient Conditions For The Lp-Equivalence Between Two Nonlinear Impulse Differential Equations, A. Georgieva, S. Kostadinov
Sufficient Conditions For The Lp-Equivalence Between Two Nonlinear Impulse Differential Equations, A. Georgieva, S. Kostadinov
Turkish Journal of Mathematics
Sufficient conditions for the Lp-equivalence between two nonlinear impulse differential equations with unbounded linear parts and possibly unbounded nonlinearity parts are given. An example of two nonlinear impulse differential parabolic equations is considered.
On Pseudo-Inverses Of Fredholm Operators, Christoph Schmoeger
On Pseudo-Inverses Of Fredholm Operators, Christoph Schmoeger
Turkish Journal of Mathematics
Suppose that A is a Fredholm operator on a Banach space. We prove that A has index =0 (resp. >= 0, resp. Keywords: Fredholm operator, pseudo-inverse
Essential Spectra Of Composition Operators On The Space Of Bounded Analytic Functions, Uğur Gül
Essential Spectra Of Composition Operators On The Space Of Bounded Analytic Functions, Uğur Gül
Turkish Journal of Mathematics
In this small note we characterize the essential spectra of a class of composition operators on H^{\infty}(H) of the upper half-plane H and on H^{\infty}(D) of the unit disc D. These composition operators are induced by perturbations of translations
Some Characterizations Of Rectifying Curves In The Euclidean Space E^4, Kazim İlarslan, Emilija Nesovic
Some Characterizations Of Rectifying Curves In The Euclidean Space E^4, Kazim İlarslan, Emilija Nesovic
Turkish Journal of Mathematics
In this paper, we define a rectifying curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement N^{\perp} of its principal normal vector field N. In particular, we study the rectifying curves in E^4 and characterize such curves in terms of their curvature functions.
Cr-Submanifolds Of An S-Manifold, A. Alghanemi
Cr-Submanifolds Of An S-Manifold, A. Alghanemi
Turkish Journal of Mathematics
The study of CR-submanifolds of a Kaehler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds. The purpose of this paper is to studied the CR-submanifolds of an S-manifold. In particular, we studied the integrability of the distributions D and D^{\bot} of a CR-submanifold of an S-manifold.
Metric Trees, Hyperconvex Hulls And Extensions, Asuman G. Aksoy, B. Maurizi
Metric Trees, Hyperconvex Hulls And Extensions, Asuman G. Aksoy, B. Maurizi
Turkish Journal of Mathematics
In this paper we examine the relationship between hyperconvex hulls and metric trees. After providing a linking construction for hyperconvex spaces, we show that the four-point property is inherited by the hyperconvex hull, which leads to the theorem that every complete metric tree is hyperconvex. We also consider some extension theorems for these spaces.
Trace Classes And Fixed Points For The Extended Modular Group \Overline{\Gamma}, Özden Koruoğlu, Recep Şahi̇n, Sebahatti̇n İki̇kardeş
Trace Classes And Fixed Points For The Extended Modular Group \Overline{\Gamma}, Özden Koruoğlu, Recep Şahi̇n, Sebahatti̇n İki̇kardeş
Turkish Journal of Mathematics
The extended modular group \overline{\Gamma}=PGL(2,\mathbb{Z}) is the group obtained by adding the reflection R(z)=1/\overline{z} to the generators of the modular group \Gamma =PSL(2, {Z}). In this paper, we find the trace classes of the extended modular group \overline{\Gamma}. Using this, we classify the elements of \overline{\Gamma}.
A Decomposition Method For Solving Unsteady Convection-Diffusion Problems, Shaher Momani
A Decomposition Method For Solving Unsteady Convection-Diffusion Problems, Shaher Momani
Turkish Journal of Mathematics
In this study, a decomposition method for approximating the solutions of unsteady convection-diffusion problems is implemented. The approximate solution is calculated in the form of a convergent series with easily computable components. The calculations are accelerated by using the noise terms phenomenon for nonhomogeneous problems. Numerical examples are investigated to illustrate the pertinent features of the proposed algorithm.
Mirror Principle For Flag Manifolds, Vehbi̇ Emrah Paksoy
Mirror Principle For Flag Manifolds, Vehbi̇ Emrah Paksoy
Turkish Journal of Mathematics
In this paper, using mirror principle developped by Lian, Liu and Yau [8, 9, 10, 11, 12, 13] we obtained the A and B series for the equivariant tangent bundles over homogenous spaces using Chern polynomial. This is necessary to obtain related cohomology valued series for given arbitrary vector bundle and multiplicative characteristic class. Moreover, this can be used as a valuable testing ground for the theories which associates quantum cohomologies and J functions of non-abelian quotient to abelian quotients via quantization.
Basic Properties And Multipliers Space On L^{1}(G)\Cap L(P,Q)(G) Spaces, İlker Eryilmaz, Cenap Duyar
Basic Properties And Multipliers Space On L^{1}(G)\Cap L(P,Q)(G) Spaces, İlker Eryilmaz, Cenap Duyar
Turkish Journal of Mathematics
Let G be locally compact Abelian group with Haar measure. First is discussed some properties of L^{1}(G) \cap L(p,q)(G) spaces. Then is mentioned the multipliers space on L^{1}(G) \cap L(p,q) (G) spaces.
On Certain Type Of Modular Sequence Spaces, Manjul Gupta, Shesadev Pradhan
On Certain Type Of Modular Sequence Spaces, Manjul Gupta, Shesadev Pradhan
Turkish Journal of Mathematics
In this paper we consider a particular type of modular sequence spaces defined with the help of a given sequence \alpha = {\alpha_n} of strictly positive real numbers \alpha_n's and an Orlicz function M. Indeed, if we define M_n(x) = M(\alpha_nx) and \tildeM_n(x)=M(x/\alpha_n), x\in[0, \infty), we consider the modular sequence spaces l{M_n} and l{\tildeM_n}, denoted by l_M^{\alpha} and l_{\alpha}^M respectively. These are known to be BK-spaces and if M satisfies \Delta_2-condition, they are AK-spaces as well. However, if we consider the spaces l_{\alpha}^M and l_n^{\alpha} corresponding to two complementary Orlicz functions M and N satisfying \Delta_2-condition, they are perfect sequence …
Certain Rings Whose Simple Singular Modules Are Nil-Injective, Junchao Wei
Certain Rings Whose Simple Singular Modules Are Nil-Injective, Junchao Wei
Turkish Journal of Mathematics
In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring whose simple singular left modules are nil- injective. Finally, as a byproduct of these results we are able to show that if R is a left GMC2 left Goldie ring whose every simple singular left R - module is YJ- injective, then R is a finite product of simple left Goldie ring.
On Non-Existence Of Lightlike Hypersurfaces Of Indefinite Kenmotsu Space Form, Nesi̇p Aktan
On Non-Existence Of Lightlike Hypersurfaces Of Indefinite Kenmotsu Space Form, Nesi̇p Aktan
Turkish Journal of Mathematics
In this paper, lightlike hypersurfaces of indefinite Kenmotsu space form are studied. Some characterizations of non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form are given.
Real Gromov-Witten Invariants On The Moduli Space Of Genus 0 Stable Maps To A Smooth Rational Projective Space, Seongchun Kwon
Real Gromov-Witten Invariants On The Moduli Space Of Genus 0 Stable Maps To A Smooth Rational Projective Space, Seongchun Kwon
Turkish Journal of Mathematics
We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface. If a target space is equipped with a real structure, i.e, anti-holomorphic involution, then the results have real enumerative applications. Firstly, we can define a real version of Gromov-Witten invariants. Secondly, we can prove the invariance of Welschinger's invariant in algebraic geometric category.
Proximinality In L^1(I,X), Sharifa Al-Sharif, R. Khalil
Proximinality In L^1(I,X), Sharifa Al-Sharif, R. Khalil
Turkish Journal of Mathematics
Let X be a Banach space and let (I,\Omega ,\mu) be a measure space. For 1 \leq p < \infty, let L^p(I,X) denote the space of Bochner p-integrable functions defined on I with values in X. The object of this paper is to give sufficient conditions for the proximinality of L^1(I,H)+L^1(I,G) in L^1(I,X), where H and G are two proximinal subspaces of X which include as a special case the proximality of L^1(I) \stackrel{\wedge}{\otimes} G + H \stackrel{\wedge}{\otimes} L^1(I) in L^1(I \times I).
A Condition For Warped Product Semi-Invariant Submanifolds To Be Riemannian Product Semi-Invariant Submanifolds In Locally Riemannian Product Manifolds, Mehmet Atçeken
Turkish Journal of Mathematics
In this article, we give a necessary and sufficient condition for warped product semi-invariant submanifolds to be Riemannian product semi-invariant submanifolds in a locally Riemannian product manifold whose factor manifolds are real space form.
Rickart-Type Annihilator Conditions On Formal Power Series, Ebrahim Hashemi
Rickart-Type Annihilator Conditions On Formal Power Series, Ebrahim Hashemi
Turkish Journal of Mathematics
Let R be an \alpha-rigid ring and R_0[[x;\alpha]] be the nearring of a formal skew power series in which addition and substitution are used as operations. It is shown that R is Rickart and any countable family of idempotents of R has a join in I(R) if and only if R_0[[x;\alpha]]\in R_{r1} if and only if R_0[[x;\alpha]]\in R_{\ell 1} if and only if R_0[[x;\alpha]]\in qR_{r2}. An example to show that, \alpha-rigid condition on R is not superfluous, is provided.
Ergodicity Conditions In A Simple Best Effort Queueing Networks, Abdeldjebbar Kandouci, Abdelmadjid Ezzine, Toufik Guendouzi
Ergodicity Conditions In A Simple Best Effort Queueing Networks, Abdeldjebbar Kandouci, Abdelmadjid Ezzine, Toufik Guendouzi
Turkish Journal of Mathematics
No abstract provided.
Semi-Slant Submanifolds Of A Nearly Kaehler Manifold, Viqar Azam Khan, Meraj Ali Khan
Semi-Slant Submanifolds Of A Nearly Kaehler Manifold, Viqar Azam Khan, Meraj Ali Khan
Turkish Journal of Mathematics
The aim in the present paper is to study some basic geometric properties of semi-slant submanifolds of a nearly Kaehler manifold.
On Cartan Spaces With (\Alpha, \Beta)-Metric, H. G. Nagaraja
On Cartan Spaces With (\Alpha, \Beta)-Metric, H. G. Nagaraja
Turkish Journal of Mathematics
É. Cartan [2] has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund [10], F. Brickell [1] and others studied the relation between these two spaces. The theory of Hamilton spaces was introduced and studied by R. Miron ([8 , [9]). He proved that Cartan space is a particular case of Hamilton space. T. Igrashi ([5], [6]) introduced the notion of the (\alpha, \beta)-metric in Cartan spaces and obtained the metric tensor and the invariants \rho and r which characterize the special classes of Cartan spaces with (\alpha, \beta)-metric. This paper presents a study …