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- Keyword
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- Frenet curve (2)
- Generalized derivations (2)
- Jordan ideals (2)
- Positive solution (2)
- Real hypersurface (2)
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- Weighted composition operator (2)
- (S (1)
- (\alpha (1)
- (non)cosingular submodule (1)
- 2)-rings (1)
- A dimension of complexes (1)
- A_p weights (1)
- Adem relations (1)
- Adjoint (1)
- Admissible screen distribution (1)
- Affinor structure (1)
- Algebra presentation (1)
- Almost Hermitian manifold (1)
- Almost Hermitian manifolds (1)
- Almost complex structure (1)
- Almost contact metric manifolds (1)
- Almost contact metric submersion (1)
- Almost contact metric submersions (1)
- Almost para-complex structure (1)
- Almost paracontact metric manifold (1)
- Almost semiinvariant \xi^{\perp}-submanifolds (1)
- Anisotropic problem (1)
- Antipode (1)
- Artinian modules (1)
- Associated curve (1)
Articles 61 - 90 of 90
Full-Text Articles in Physical Sciences and Mathematics
Existence And Multiplicity Of Positive Solutions For Discrete Anisotropic Equations, Marek Galewski, Renata Wieteska
Existence And Multiplicity Of Positive Solutions For Discrete Anisotropic Equations, Marek Galewski, Renata Wieteska
Turkish Journal of Mathematics
In this paper we consider the Dirichlet problem for a discrete anisotropic equation with some function \alpha , a nonlinear term f, and a numerical parameter \lambda :\Delta (\alpha (k) \Delta u(k-1) ^{p(k-1)-2}\Delta u(k-1)) + \lambda f(k,u(k))=0, k\in [1,T] . We derive the intervals of a numerical parameter \lambda for which the considered BVP has at least 1, exactly 1, or at least 2 positive solutions. Some useful discrete inequalities are also derived.
A Reproducing Kernel For A Hilbert Space Related To Harmonic Bergman Space On A Domain Outside Compact Set, Alem Memic
A Reproducing Kernel For A Hilbert Space Related To Harmonic Bergman Space On A Domain Outside Compact Set, Alem Memic
Turkish Journal of Mathematics
In this paper for 1\leq p
Semi-Cotangent Bundle And Problems Of Lifts, Furkan Yildirim, Arif Salimov
Semi-Cotangent Bundle And Problems Of Lifts, Furkan Yildirim, Arif Salimov
Turkish Journal of Mathematics
Using the fiber bundle M over a manifold B, we define a semi-cotangent (pull-back) bundle t^{\ast}B, which has a degenerate symplectic structure. We consider lifting problem of projectable geometric objects on M to the semi-cotangent bundle. Relations between lifted objects and a degenerate symplectic structure are also presented.
Osserman Lightlike Hypersurfaces Of Indefinite S-Manifolds, Letizia Brunetti
Osserman Lightlike Hypersurfaces Of Indefinite S-Manifolds, Letizia Brunetti
Turkish Journal of Mathematics
We mainly deal with the problem of admissibility for screen distributions on a lightlike hypersurface of both a semi-Riemannian manifold and an indefinite S-manifold. In the latter case, we first show that a characteristic screen distribution is never admissible, and then we provide a characterization for admissible screen distributions on proper totally umbilical lightlike hypersurfaces. Finally, in studying Osserman conditions, we characterize Osserman totally umbilical hypersurfaces of a semi-Riemannian manifold, obtaining explicit results on the eigenvalues of the pseudo-Jacobi operators in the case of lightlike hypersurfaces with Lorentzian screen leaves.
On Generalized Robertson--Walker Spacetimes Satisfying Some Curvature Condition, Kadri̇ Arslan, Ryszard Deszcz, Ridvan Ezentaş, Marian Hotlos, Cengi̇zhan Murathan
On Generalized Robertson--Walker Spacetimes Satisfying Some Curvature Condition, Kadri̇ Arslan, Ryszard Deszcz, Ridvan Ezentaş, Marian Hotlos, Cengi̇zhan Murathan
Turkish Journal of Mathematics
We give necessary and sufficient conditions for warped product manifolds (M,g), of dimension \geqslant 4, with 1-dimensional base, and in particular, for generalized Robertson--Walker spacetimes, to satisfy some generalized Einstein metric condition. Namely, the difference tensor R . C - C . R, formed from the curvature tensor R and the Weyl conformal curvature tensor C, is expressed by the Tachibana tensor Q(S,R) formed from the Ricci tensor S and R. We also construct suitable examples of such manifolds. They are quasi-Einstein, i.e. at every point of M rank (S - \alpha g) \leqslant 1, for some \alpha \in R, …
Some Rings For Which The Cosingular Submodule Of Every Module Is A Direct Summand, Derya Keski̇n Tütüncü, Ni̇l Orhan Ertaş, Patrick F. Smith, Rachid Tribak
Some Rings For Which The Cosingular Submodule Of Every Module Is A Direct Summand, Derya Keski̇n Tütüncü, Ni̇l Orhan Ertaş, Patrick F. Smith, Rachid Tribak
Turkish Journal of Mathematics
The submodule \overline{Z}(M) = \cap {N M/N is small in its injective hull} was introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P) if \overline{Z}(M) is a direct summand of M for every R-module M. It is shown that a commutative perfect ring R has (P) if and only if R is semisimple. An example is given to show that this characterization is not true for noncommutative rings. We prove that if R is a commutative ring such that the class {M \in Mod-R \overline{Z}_{R}(M) = 0} is closed under factor modules, then …
On Joachimsthal's Theorems In Riemann--Otsuki Space R-O_3, Münevver Yildirim Yilmaz, Mehmet Bektaş
On Joachimsthal's Theorems In Riemann--Otsuki Space R-O_3, Münevver Yildirim Yilmaz, Mehmet Bektaş
Turkish Journal of Mathematics
In this paper we study the Joachimsthal theorem in Riemann--Otsuki space
Degenerate Hopf Bifurcations, Hidden Attractors, And Control In The Extended Sprott E System With Only One Stable Equilibrium, Zhouchao Wei, Irene Moroz, Anping Liu
Degenerate Hopf Bifurcations, Hidden Attractors, And Control In The Extended Sprott E System With Only One Stable Equilibrium, Zhouchao Wei, Irene Moroz, Anping Liu
Turkish Journal of Mathematics
In this paper, we introduce an extended Sprott E system by a general quadratic control scheme with 3 arbitrary parameters for the new system. The resulting system can exhibit codimension-one Hopf bifurcations as parameters vary. The control strategy used can be applied to create degenerate Hopf bifurcations at desired locations with preferred stability. A complex chaotic attractor with only one stable equilibrium is derived in the sense of having a positive largest Lyapunov exponent. The chaotic attractor with only one stable equilibrium can be generated via a period-doubling bifurcation. To further suppress chaos in the extended Sprott E system coexisting …
Almost Contact Metric Submersions And Symplectic Manifolds, Augustin Batubenge, Tshikunguila Tshikuna-Matamba
Almost Contact Metric Submersions And Symplectic Manifolds, Augustin Batubenge, Tshikunguila Tshikuna-Matamba
Turkish Journal of Mathematics
In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that this is obtained if the total space is an b-almost Kenmotsu manifold.
A Note On Closed G_2-Structures And 3-Manifolds, Hyunjoo Cho, Sema Salur, Albert Todd
A Note On Closed G_2-Structures And 3-Manifolds, Hyunjoo Cho, Sema Salur, Albert Todd
Turkish Journal of Mathematics
This article shows that given any orientable 3-manifold X, the 7-manifold T^*X \times R admits a closed G_2-structure \varphi = Re \Omega-\omega \wedge dt where \Omega is a certain complex-valued 3-form on T^*X; next, given any 2-dimensional submanifold S of X, the conormal bundle N^*S of S is a 3-dimensional submanifold of T^*X \times R such that \varphi _{N^*S}\equiv 0. A corollary of the proof of this result is that N^*S \times R is a 4-dimensional submanifold of T^*X \times R such that \varphi _{N^*S \times R}\equiv 0.
General Rotational Surfaces In The 4-Dimensional Minkowski Space, Georgi Ganchev, Velichka Milousheva
General Rotational Surfaces In The 4-Dimensional Minkowski Space, Georgi Ganchev, Velichka Milousheva
Turkish Journal of Mathematics
General rotational surfaces as a source of examples of surfaces in the 4-dimensional Euclidean space were introduced by C. Moore. In this paper we consider the analogue of these surfaces in the Minkowski 4-space. On the basis of our invariant theory of spacelike surfaces we study general rotational surfaces with special invariants. We describe analytically the flat general rotational surfaces and the general rotational surfaces with flat normal connection. We classify completely the minimal general rotational surfaces and the general rotational surfaces consisting of parabolic points.
Population Dynamical Behaviors Of Stochastic Logistic System With Jumps, Ruihua Wu, Ke Wang
Population Dynamical Behaviors Of Stochastic Logistic System With Jumps, Ruihua Wu, Ke Wang
Turkish Journal of Mathematics
This paper is concerned with a stochastic logistic model driven by martingales with jumps. In the model, generalized noise and jump noise are taken into account. This model is new and more feasible. The explicit global positive solution of the system is presented, and then sufficient conditions for extinction and persistence are established. The critical value of extinction, nonpersistence in the mean, and weak persistence in the mean are obtained. The path-wise and moment properties are also investigated. Finally, some simulation figures are introduced to illustrate the main results.
Frobenius-Like Groups As Groups Of Automorphisms, Güli̇n Ercan, İsmai̇l Şuayi̇p Güloğlu, Evgeny Khukhro
Frobenius-Like Groups As Groups Of Automorphisms, Güli̇n Ercan, İsmai̇l Şuayi̇p Güloğlu, Evgeny Khukhro
Turkish Journal of Mathematics
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that FH/[F,F] is a Frobenius group with Frobenius kernel F/[F,F]. Such subgroups and sections are abundant in any nonnilpotent finite group. We discuss several recent results about the properties of a finite group G admitting a Frobenius-like group of automorphisms FH aiming at restrictions on G in terms of C_G(H) and focusing mainly on bounds for the Fitting height and related parameters. Earlier such results were obtained for Frobenius groups of automorphisms; new theorems for Frobenius-like …
A Cohen Type Inequality For Laguerre--Sobolev Expansions With A Mass Point Outside Their Oscillatory Regime, Edmundo José Huertas Cejudo, Francisco Marcellán Espanol, María Francisca Pérez Valero, Yamilet Quintana
A Cohen Type Inequality For Laguerre--Sobolev Expansions With A Mass Point Outside Their Oscillatory Regime, Edmundo José Huertas Cejudo, Francisco Marcellán Espanol, María Francisca Pérez Valero, Yamilet Quintana
Turkish Journal of Mathematics
Let consider the Sobolev type inner product \langle f, g\rangle_S = \int_0^{\infty} f(x)g(x)d \mu (x) + Mf(c)g(c) + Nf^{\prime}(c) g^{\prime}(c), where d\mu (x) = x^{\alpha} e^{-x}dx, \alpha > -1, is the Laguerre measure, c < 0, and M, N \geq 0. In this paper we get a Cohen-type inequality for Fourier expansions in terms of the orthonormal polynomials associated with the above Sobolev inner product. Then, as an immediate consequence, we deduce the divergence of Fourier expansions and Cesàro means of order \delta in terms of this kind of Laguerre--Sobolev polynomials.
Notes On The Tangent Bundle With Deformed Complete Lift Metric, Aydin Gezer, Mustafa Özkan
Notes On The Tangent Bundle With Deformed Complete Lift Metric, Aydin Gezer, Mustafa Özkan
Turkish Journal of Mathematics
In this paper, our aim is to study some properties of the tangent bundle with a deformed complete lift metric.
On 4-Dimensional Almost Para-Complex Pure-Walker Manifolds, Murat İşcan, Hi̇lmi̇ Sarsilmaz, Si̇bel Turanli
On 4-Dimensional Almost Para-Complex Pure-Walker Manifolds, Murat İşcan, Hi̇lmi̇ Sarsilmaz, Si̇bel Turanli
Turkish Journal of Mathematics
This paper is concerned with almost para-complex structures on Walker 4-manifolds. For these structures, we study some problems of Kähler manifolds. We also give an example of a flat almost para-complex manifold, which consists of a nonintegrable almost para-complex structure on Walker 4-manifolds.
On The Equivariant Cohomology Algebra For Solenoidal Actions, Ali̇ Arslan Özkurt
On The Equivariant Cohomology Algebra For Solenoidal Actions, Ali̇ Arslan Özkurt
Turkish Journal of Mathematics
We prove, under certain conditions, that if a solenoidal group (i.e. 1-dimensional compact connected abelian group) acts effectively on a compact space then the fixed point set is nonempty and H_G^*(X,Q) has a presentation similar to the presentation of H^*(X,Q) as proven by Chang in the case of a circle group.
Seiberg--Witten-Like Equations On 5-Dimensional Contact Metric Manifolds, Nedi̇m Deği̇rmenci̇, Şenay Bulut
Seiberg--Witten-Like Equations On 5-Dimensional Contact Metric Manifolds, Nedi̇m Deği̇rmenci̇, Şenay Bulut
Turkish Journal of Mathematics
In this paper, we write Seiberg--Witten-like equations on contact metric manifolds of dimension 5. Since any contact metric manifold has a Spin^c-structure, we use the generalized Tanaka--Webster connection on a Spin^c spinor bundle of a contact metric manifold to define the Dirac-type operators and write the Dirac equation. The self-duality of 2-forms needed for the curvature equation is defined by using the contact structure. These equations admit a nontrivial solution on 5-dimensional strictly pseudoconvex CR manifolds whose contact distribution has a negative constant scalar curvature.
Covers And Preenvelopes By V-Gorenstein Flat Modules, Xiaoyan Yang
Covers And Preenvelopes By V-Gorenstein Flat Modules, Xiaoyan Yang
Turkish Journal of Mathematics
In this paper, we introduce and study V-Gorenstein flat modules and show the stability of the category of V-Gorenstein flat modules. We investigate the existence of V-Gorenstein flat covers and V-Gorenstein flat preenvelopes for any left R-module. Also we prove that (V-GF,V-GF^\bot) is a perfect hereditary cotorsion pair in B^l(R), where V-GF stands the class of V-Gorenstein flat left R-modules and B^l(R) is the left Bass class. Some applications are given.
On The K-Ring Of The Classifying Space Of The Generalized Quaternion Group, Mehmet Kirdar, Sevi̇lay Özdemi̇r
On The K-Ring Of The Classifying Space Of The Generalized Quaternion Group, Mehmet Kirdar, Sevi̇lay Özdemi̇r
Turkish Journal of Mathematics
We describe the K-ring of the classifying space of the generalized quaternion group in terms of generators and the minimal set of relations. We also compute the order of the main generator in the truncated rings.
Generalized Higher Commutators Generated By The Multilinear Fractional Integrals And Lipschitz Functions, Huixia Mo, Dongyan Yu, Huiping Zhou
Generalized Higher Commutators Generated By The Multilinear Fractional Integrals And Lipschitz Functions, Huixia Mo, Dongyan Yu, Huiping Zhou
Turkish Journal of Mathematics
Let l \in N and \vec{A}=(A_1,\dots,A_l) and \vec{f}=(f_1,\dots,f_l) be 2 finite collections of functions, where every function A_i has derivatives of order m_i and f_1,\dots,f_l\in L_c^{\infty}(R^n). Let x\notin\cap_{i=1}^lSupp f_i. The generalized higher commutator generated by the multilinear fractional integral is then given by I_{\alpha,m}^{\vec{A}}(\vec{f})(x) =\dint_{(R^n)^m} \frac{\prod\limits_{i=1}^lR_{m_i+1}(A_i;x,y_i)f_{i}(y_i)}{ (x-y_1,\dots ,x-y_m) ^{ln+(m_1+m_2+\dots+m_l)-\alpha}} dy_1\dots dy_l. When D^{\gamma}A_i\in \dot{\Lambda}_{\beta_i}(0
Essential Norms Of Weighted Composition Operators Between Zygmund-Type Spaces And Bloch-Type Spaces, Amir Hossein Sanatpour, Mostafa Hassanlou
Essential Norms Of Weighted Composition Operators Between Zygmund-Type Spaces And Bloch-Type Spaces, Amir Hossein Sanatpour, Mostafa Hassanlou
Turkish Journal of Mathematics
We investigate the boundedness of weighted composition operator u C_{\varphi} mapping the Zygmund-type space Z^{\alpha} into the Bloch-type space B^{\beta}. Then we give essential norm estimates of such an operator in terms of u and \varphi.
A Characterization Of The Projective Transformation In Minkowski 3-Space, Yasemi̇n Alagöz
A Characterization Of The Projective Transformation In Minkowski 3-Space, Yasemi̇n Alagöz
Turkish Journal of Mathematics
We consider transformations preserving asymptotic directions of surfaces in Minkowski 3-space and show that a transformation preserves the asymptotic directions of a surface if only if it is the projective one. Therefore, we obtain a characterization of the projective transformation.
The Property Of Real Hypersurfaces In 2-Dimensional Complex Space Form With Ricci Operator, Dong Ho Lim, Woon Ha Sohn, Seong Soo Ahn
The Property Of Real Hypersurfaces In 2-Dimensional Complex Space Form With Ricci Operator, Dong Ho Lim, Woon Ha Sohn, Seong Soo Ahn
Turkish Journal of Mathematics
Let M be a real hypersurface in a complex space form M_2(c), c \neq 0. In this paper, we prove that S \phi=\phi S on M if and only if M is pseudo-Einstein.
Hilbert Series Of The Braid Monoid Mb_4 In Band Generators, Zaffar Iqbal, Shamaila Yousaf
Hilbert Series Of The Braid Monoid Mb_4 In Band Generators, Zaffar Iqbal, Shamaila Yousaf
Turkish Journal of Mathematics
L. A. Bokut gave a Gröbner--Shirshov basis of the braid group B_n in band generators. Using this presentation and solving all the ambiguities we construct a linear system for irreducible words and compute the Hilbert series of the braid monoid MB_4.
Gradient Estimates For The Porous Medium Type Equation On Smooth Metric Measure Space, Deng Yihua
Gradient Estimates For The Porous Medium Type Equation On Smooth Metric Measure Space, Deng Yihua
Turkish Journal of Mathematics
The porous medium equation arises in different applications to model diffusive phenomena. In this paper, we obtain several gradient estimates for some porous medium type equations on smooth metric measure space with N-Bakry-Emery Ricci tensor bounded from below. In particular, we improve and generalize some current gradient estimates for the porous medium equations.
Disjoint Supercyclic Powers Of Weighted Shifts On Weighted Sequence Spaces, Yu-Xia Liang, Ze-Hua Zhou
Disjoint Supercyclic Powers Of Weighted Shifts On Weighted Sequence Spaces, Yu-Xia Liang, Ze-Hua Zhou
Turkish Journal of Mathematics
We characterize the disjoint supercyclicity of finitely many different powers of weighted shifts acting on the weighted sequence spaces l^2(N,w), c_0(N,w) , and l^2(Z,w), c_0(Z,w), where w=(w_i)_i is a positive weight sequence satisfying w_i \geq 1 for every i\in N (or i\in Z).
Some New Associated Curves Of A Frenet Curve In E^3 And E^4, Nesi̇be Maci̇t, Mustafa Düldül
Some New Associated Curves Of A Frenet Curve In E^3 And E^4, Nesi̇be Maci̇t, Mustafa Düldül
Turkish Journal of Mathematics
In this paper, firstly, we define a W -direction curve and W -rectifying curve of a Frenet curve in 3-dimensional Euclidean space E^3 by using the unit Darboux vector field W of the Frenet curve and give some characterizations together with the relationships between the curvatures of each associated curve. We also introduce a V -direction curve, which is associated with a curve lying on an oriented surface in E^3. Later, some new associated curves of a Frenet curve are defined in E^4.
Pseudosymmetric Lightlike Hypersurfaces, Sema Kazan, Bayram Şahi̇n
Pseudosymmetric Lightlike Hypersurfaces, Sema Kazan, Bayram Şahi̇n
Turkish Journal of Mathematics
We study lightlike hypersurfaces of a semi-Riemannian manifold satisfying pseudosymmetry conditions. We give sufficient conditions for a lightlike hypersurface to be pseudosymmetric and show that there is a close relationship of the pseudosymmetry condition of a lightlike hypersurface and its integrable screen distribution. We obtain that a pseudosymmetric lightlike hypersurface is a semisymmetric lightlike hypersurface or totally geodesic under certain conditions. Moreover, we give an example of pseudosymmetric lightlike hypersurfaces and investigate pseudoparallel lightlike hypersurfaces. Furthermore, we introduce Ricci-pseudosymmetric lightlike hypersurfaces, obtain characterizations, and give an example for such hypersurfaces.
Functionals Of Gasser--Muller Estimators, Petre Babilua, Elizbar Nadaraya, Grigol Sokhadze
Functionals Of Gasser--Muller Estimators, Petre Babilua, Elizbar Nadaraya, Grigol Sokhadze
Turkish Journal of Mathematics
The asymptotic properties of a general functional of the Gasser--Muller estimator are investigated in the Sobolev space. The convergence rate, consistency, and central limit theorem are established.