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- Oscillation (23)
- Fixed point (21)
- Convex function (20)
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- Fixed point theorem (18)
- Bi-univalent functions (16)
- Derivation (16)
- Univalent functions (16)
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- Eigenvalues (14)
- Subordination (14)
- Boundary value problem (13)
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- Crossed modules (11)
- Ideal (11)
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- Coefficient bounds (10)
- Collocation method (10)
- Existence (10)
- Fractional derivative (10)
- Positive solution (10)
- Spectrum (10)
- Green's function (9)
- Numerical semigroup (9)
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Articles 2431 - 2460 of 2494
Full-Text Articles in Physical Sciences and Mathematics
On A Generalisation Of Lie Ideals In Prime Rings, Arif Kaya
On A Generalisation Of Lie Ideals In Prime Rings, Arif Kaya
Turkish Journal of Mathematics
Let R be a prime ring of characteristic 3, \sigma and \tau automorphisms of R, U a non zero ( \sigma, \tau) - Lie ideal of R, d a nonzero derivation of R such that \sigmad = d\sigma , \taud = d\tau,d(U) (bak) U, and d^2(U) (bak) Z, the center of R. Then we prove that U (bak) Z. This provides a proof of the Theorem in [4], when char R = 3.
On The Solution Of The E.P.D. Equation Using Finite Integral Transformations, Neşe Dernek
On The Solution Of The E.P.D. Equation Using Finite Integral Transformations, Neşe Dernek
Turkish Journal of Mathematics
In this paper, a solution is given for the following initial boundary value problem: \Delta=u_{tt}+k/t+u_t+g(x, t) (t>0) u(0, t)=u(a, t)=0 u(x, 0)=f(x), u_t(x, 0)=0 where x, a \epsilon R^n, t is the time variable, k < 1, k ? -1, -2, -3, . . . is a real parameter, \Delta is the n dimensional Laplace operator, f and g real analytic functions. The equation in this problem is known as the nonhomogeneous Euler-Poisson-Darboux (E.P.D.) Equation. The solution is obtained using finite integral transformation technique and is the sum of two uniformly and absolutely convergent power series.
An Application Of Linear Topological Invariants, Bora Arslan, Mefharet Kocatepe
An Application Of Linear Topological Invariants, Bora Arslan, Mefharet Kocatepe
Turkish Journal of Mathematics
We consider a possible isomorphism of cartesian product of two Dragilev spaces of infinite type, and by making use of Zahariuta invariants and some structural properties, we show that if there is such an isomorphism, then any factor on the left is nearly isomorphic to the corresponding factor on the right. Key Words and Phrases: Linear topological invariants, Dragilev space, Dragilev function, rapidly increasing function.
Near Ultrafilters And Luc-Compactification Of Real Numbers, Mahmut Koçak
Near Ultrafilters And Luc-Compactification Of Real Numbers, Mahmut Koçak
Turkish Journal of Mathematics
In this work we will investigate some of the topological properties of the Luc compactification of real numbers R in terms of the concept of near ultrafilters.
Casson's Invariant And Seiberg-Witten Gauge Theory, Weimin Chen
Casson's Invariant And Seiberg-Witten Gauge Theory, Weimin Chen
Turkish Journal of Mathematics
In this paper, the very first step is taken towards solving the recently proposed conjecture by Kronheimer and Mrowka [KM2] concerning the Casson's invariant of an oriented homology 3-sphere and its Seiberg-Witten Floer homology.
Pin-Structures On Surfaces And Quadratic Forms, A. Degtyarev, S. Finashin
Pin-Structures On Surfaces And Quadratic Forms, A. Degtyarev, S. Finashin
Turkish Journal of Mathematics
A correspondence between various Pin-type structures on a compact surface and quadratic (Iinear) forms on its homology is constructed. Sum of structures is defined and expressed in terms of these quadratic forms and in terms of Whitney sum of Spin structures.
The Study Of The Level Zero Crossing Time Of A Semi-Markovian Random Walk With Delaying Screen, Tahir A. Khaniev, İhsan Ünver
The Study Of The Level Zero Crossing Time Of A Semi-Markovian Random Walk With Delaying Screen, Tahir A. Khaniev, İhsan Ünver
Turkish Journal of Mathematics
In this study, a semi-Markovian random walk with delaying screen at (\beta > O and the first crossing time ('\gamma1) of the zero level of this process are constructed. Furthermore, the distribution function with its Laplace transform, expected value and variance of random variable (\gamma1) are calculated. In addition to these, a formula for the higher order moments of ('\gamma1) is given.
On Coincidence Points Of Densifying Mappings, M. S. Khan, Z. Q. Liu
On Coincidence Points Of Densifying Mappings, M. S. Khan, Z. Q. Liu
Turkish Journal of Mathematics
A coincidence point theorem for anew class of densifying mappings is obtained. Our result generalizes many previously known theorems and can be regarded as an extension of Jungck's fixed point theorem for densifying mappings. Key words and phases: complete metric space, common fixed points, densifying mappings, commuting mappings.
Extension And Separation Of Vector Valued Functions, Zafer Ercan
Extension And Separation Of Vector Valued Functions, Zafer Ercan
Turkish Journal of Mathematics
It is proved that: If X is a paracompact Hausdorff space and E is a Frechet lattice then (X, E) has the separation property. This is employed to extend some varies of functions that are known for spaces of Banach lattice valued functions.
The Linear Mean Value Of The Remainder Term In The Problem Of Asymptotic Behavior Of Eigenfunctions Of The Automorphic Laplacian, Zernişan Emi̇rleroğlu
The Linear Mean Value Of The Remainder Term In The Problem Of Asymptotic Behavior Of Eigenfunctions Of The Automorphic Laplacian, Zernişan Emi̇rleroğlu
Turkish Journal of Mathematics
The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunctions over the discrete spectrum of the automorphic Laplacian.
Immersions Preserved Under Rotations With Totally Reducible Focal Set, Rıdvan Ezentaş
Immersions Preserved Under Rotations With Totally Reducible Focal Set, Rıdvan Ezentaş
Turkish Journal of Mathematics
In [1] Carter and the author introduced the idea of an immersion f : Mm-+ Rn with totally reducible focal set (TRFS). Such an immersion has the property that, for all p E M, the focal set with base p is a union of hyperplanes in the normal plane to f(M) at f(p) . Here we show that if we take two immersions with TRFS then we can construct new immersions with TRFS. In particular, rotating an immersion with TRFS about an axis gives anew immersion with TRFS.
On Univalent Functions With Three Preassigend Values, Y. Avci, E. Zlotkiewicz
On Univalent Functions With Three Preassigend Values, Y. Avci, E. Zlotkiewicz
Turkish Journal of Mathematics
In this paper, univalent functions with three preassigend values are studied. The sharp bounds for the first coefficient are obtained. Moreover, the coefficient problem for a subclass of such functions is completely solved.
On Ideals Of Prime Rings With (\Sigma, \Tau)- Derivations, Q. Deng, M. Ş. Yeni̇gül, N. Argaç
On Ideals Of Prime Rings With (\Sigma, \Tau)- Derivations, Q. Deng, M. Ş. Yeni̇gül, N. Argaç
Turkish Journal of Mathematics
Let R be a prime ring. Let \sigma , \tau be two homomorphisms and d be a (\sigma,\tau)-derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a non-zero ideal of R, \sigma is subjective such that \sigma (U) \neq 0, \tau is an automorphism and [d(U), d(U)]_{\sigma,\tau} = 0, then \sigma^2 = \tau^2 and \sigma \tau = \tau \sigma. (ii) Under the assumptions that either char R = 0 or char R > max {2,n}, U is a non-zero right ideal, and \sigma, \tau are automorphisms of R, suppose …
On A Differential Analog Of The Prime-Radical And Properties Of The Lattice Of Radical Differential Ideals In Associative Differential Rings, D. Hadjiev, F. Çallialp, A. Eden
On A Differential Analog Of The Prime-Radical And Properties Of The Lattice Of Radical Differential Ideals In Associative Differential Rings, D. Hadjiev, F. Çallialp, A. Eden
Turkish Journal of Mathematics
In this paper we prove the following results: (1) For any assosiative differential ring with the unit we introduce a differential analog of the prime-radical and describe it; (2) any maximal differential ideal of a Ritt algebra is prime; (3) The lattice of radical differential ideals satisfies the condition of infinite \cap- distributivity.
Comparison Of Invariants For Triples Of Hilbert Spaces, P. A. Chalov
Comparison Of Invariants For Triples Of Hilbert Spaces, P. A. Chalov
Turkish Journal of Mathematics
In [2,3] the sequence of invariant characteristics (\mu_{m}) for the finite families of Hilbert spaces were considered. Here we make a comparison of these invariants among themselves. We construct some examples of triples of Hilbert spaces, which show that each system of the first r+1 characteristics is stronger than the system of the first r of them. Moreover we show that there exist triples of Hilbert spaces which on the one hand are not quasidiagonally isomorphic, but on the other hand they cannot be distinguished by any function \mu_{m},\,\, m\in\,\, \Bbb N.
Some Applications Of Fractional Calculus Operators To A Certain Subclass Of Analytic Functions With Negative Coefficients, Nak Eun Cho, M. K. Aouf
Some Applications Of Fractional Calculus Operators To A Certain Subclass Of Analytic Functions With Negative Coefficients, Nak Eun Cho, M. K. Aouf
Turkish Journal of Mathematics
The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class T_{n}\left(\lambda,\alpha\right) consisting of analytic and univalent functions with negative coefficients. Furthermore, a distortion theorem for a fractional integral operator of functions in the class T_{n}\left(\lambda,\alpha\right) is shown.
Pirinciples Of Radiation For Helmholtz Equation In N-Dimensional Layer With Impedence Boundary Conditions., B. A. Iskenderov, A. I. Mehtieva
Pirinciples Of Radiation For Helmholtz Equation In N-Dimensional Layer With Impedence Boundary Conditions., B. A. Iskenderov, A. I. Mehtieva
Turkish Journal of Mathematics
The principle of limit absorption and A. G. Sveshnikov's partial conditions of radition for Helmholts equation in multile dimensinal layer with impedance boundary conditions were studied. The behavior of the solutions of corresponding initial-boundary value problem for non-stationary wave equations as t \ra+\infty was studied too.
Application Of The Residue Method To A Mixed Problem, Y. A. Mamedov, M. Can
Application Of The Residue Method To A Mixed Problem, Y. A. Mamedov, M. Can
Turkish Journal of Mathematics
In this paper, the residue method of separation of variables is applied to a mixed problem which includes the flow of a stratified compresslble fluid and inner gravitational waves of a stratified incompressible fluid for special values of the coefficients of the equation. To apply this method one defines two auxiliary problems. The first one is a spectral problem and the second is a Cauchy problem. Using the solutions of auxiliary problems, an existence and uniqueness theorem is proved for the given mixed problem.
Products And Quotients Of (P,\Sigma)-Absolutely Continuous Operator Ideals^*, Enrique A. Sanchez Perez
Products And Quotients Of (P,\Sigma)-Absolutely Continuous Operator Ideals^*, Enrique A. Sanchez Perez
Turkish Journal of Mathematics
We obtain a generalization of the ideal {\cal M}_{(q,p)} of (q,p)-mixing operators-in the sense of Pietsch- as a consequence of the study of the quotients of (p, \sigma)-absolutely continuous operator ideals {\cal P}_{p, \sigma} -in the sense of Jarchow and Matter-. Inclusions {\cal P}_{p, \sigma} (E,F) \subset {\cal M}_{(q,s)} (E,F) are also investigated, specially for the cases E={\cal C}(K) and E=L_1.
On Surjectivity Of The Arens Homomorphism, S. Alpay, B. Turan
On Surjectivity Of The Arens Homomorphism, S. Alpay, B. Turan
Turkish Journal of Mathematics
We define approximate separation and extension properties of a Banach lattice and study the relation between these and topological fullness of the ideal centre. Banach lattices with topologically full ideal centre are characterized as those for which the Arens homomorphism m: Z(E)''\rightarrow Z(E') is surjective. Among the positive operators T:E\rightarrow F between Banach lattices E,F we distinguish nearly Z(E) and Z(F) extremal ones and study their properties.
Certain Classes Of Analytic And Multivalent Functions With Negative Coefficients, M. K. Aouf, A. Shamandy, A.A. Attiyia
Certain Classes Of Analytic And Multivalent Functions With Negative Coefficients, M. K. Aouf, A. Shamandy, A.A. Attiyia
Turkish Journal of Mathematics
We introduce a subclass K^{*}_{n+p-1}(A,B) of analytic and p-valent functions with negative coefficients. Coefficient estimates, some properties, distortion theorems and closure theorems of functions belonging to the class K^{*}_{n+p-1}(A,B) are determined. Also we obtain radii of close-to-convexity, starlikeness and convexity for the class K^{*}_{n+p-1}(A,B). We also obtain class preserving integral operator of the form F(z)=\frac{c+p}{z^c}\int_0^{z}t^{c-1}f(t) dt, c> -p for the class K^{*}_{n+p-1}(A,B) Conversely when F(z)\,\, \in K_{n+p-1}^{\star} (A,B) radius of p-valence of f(z) defined by the above equation is obtained.
Weak Forms Of Openness Based Upon Denseness, C. W. Baker
Weak Forms Of Openness Based Upon Denseness, C. W. Baker
Turkish Journal of Mathematics
A function is defined to be hardly open provided that the inverse image of each dense subset of the codomain that is contained in a proper open set is dense in the domain. This form of weak openness is shown to be strictly between near feeble openness and somewhat openness. Characterizations and properties of hardly open functions are presented.
Suborbital Graphs For The Normalizer Of\Gamma_O(N), M. Akbaş, T. Başkan
Suborbital Graphs For The Normalizer Of\Gamma_O(N), M. Akbaş, T. Başkan
Turkish Journal of Mathematics
In this paper we examine some properties of suborbital graphs for the normalizer {\cal N} of \Gamma_{0}(N) in PSL(2,R) and show that, if {\cal N}/\Gamma_{0}(N) and the set of orbit representatives are denoted by B and \Omega respectively, the permutation group (B,\Omega) is regular and m-regular where m is an odd natural number.
On Homogeneous Riemann Boundary Value Problem, K. Kutlu
On Homogeneous Riemann Boundary Value Problem, K. Kutlu
Turkish Journal of Mathematics
In this work we consider homogeneous Riemann boundary value problem (BVP) on general open rectifiable curves. We prove certain estimates for Cauchy type integrals in terms of local moduli of continuity and local maximum of modulus, which allow us to describe the solvability of Riemann BVP with unbounded oscillating coefficients on a wide class of non-smooth rectifiable Jordan curves.
On Strongly Regular Rings, A. Kaya, F. Kuzucuoğlu
On Strongly Regular Rings, A. Kaya, F. Kuzucuoğlu
Turkish Journal of Mathematics
Some characterizations of strongly regular rings will be given. Let R be a ring and I(\neq R) a right ideal of R. If, for each pair of right ideals A and B of R, AB \subseteq I implies that either A \subseteq I or B \subseteq I, then I is called a prime right ideal (or equivalently, if aRb \ \ \not\subseteq I whenever a and b do not belong to I). I is strongly prime right ideal if, for each pair of a and b in R, aIb \subseteq I and ab \in I imply that either a \in …
Weak\Star- Invariantly Complemented Subspaces Of L^{\Infty}(1/\Omega) And Ideals Of L^{1}(\Omega) With A Bounded Approximate Identity, Z. Argün, C. Tonyali
Weak\Star- Invariantly Complemented Subspaces Of L^{\Infty}(1/\Omega) And Ideals Of L^{1}(\Omega) With A Bounded Approximate Identity, Z. Argün, C. Tonyali
Turkish Journal of Mathematics
For a locally compact group G let L^{1}(\omega) be the weighted group algebra and let X be a weak \star-closed translation invariant subspace of L^{\infty} (1/\omega). In this paper for a certain class of functions we show that the following conditions are equivalent: (i) X is topological invariantly complemented in L^{\infty}(1/\omega); (ii) X is invariantly complemented in L^{\infty}(1/\omega); (iii) The left ideal X_{\perp} has a bounded right approximate identity.
Extension Of Caristi-Kirk's Theorem, M. O. Diallo, M. Oudadess
Extension Of Caristi-Kirk's Theorem, M. O. Diallo, M. Oudadess
Turkish Journal of Mathematics
We give some extensions and/or improvements, to uniform spaces and to multi-valued mappings, of Caristi-Kirk's theorem.
Normal Boundary Value Problems For Differential Equations Of Higher Order, F. G. Maksudov, Z. I. Ismailov
Normal Boundary Value Problems For Differential Equations Of Higher Order, F. G. Maksudov, Z. I. Ismailov
Turkish Journal of Mathematics
In this work the arbitrary order differential operator expression of the form \imath (u) = \frac{\partial u (t)}{\partial t^n}+Au(t), where A is a bounded normal operator in the Hilbert Space H is considered in the Hilbert Space of vector functions L_2(H(0,1)). This paper describes all normal boundary value problem for the indicated diferential expression in terms of abstnract boundary conditions and determines a connection with other typea of boundary value problems.
T_2-Objects In Categories Of Filter And Local Filter Convergence Spaces, M. Baran
T_2-Objects In Categories Of Filter And Local Filter Convergence Spaces, M. Baran
Turkish Journal of Mathematics
There are various generalizations of the usual T_2 (Hausdorff) axiom of topology to an arbitrary topological category defined in [1]. In this paper, four more new generalizations of Hausdorff spaces are given in the topological categories. Moreover, the relationships among all of these T_2 structures and the ones given in [5] and [7] as well as some invariance properties of them are investigated in the categories of filter and local filter convergence spaces. Keywords: Topological Categories, T_2-objects, Filter Convergence Spaces.
On Conformally Flat Lorentzian Spaces Satisfying A Certain Condition On The Curvature Tensor, M. Erdoğan
On Conformally Flat Lorentzian Spaces Satisfying A Certain Condition On The Curvature Tensor, M. Erdoğan
Turkish Journal of Mathematics
In this paper we prove a local classification theorem for the conformally flat lorentzian spaces satisfying the condition R(X,Y)R=0.