The Existence And Compactness Of The Set Of Solutions For A Nonlinear Integrodifferential Equation In N Variables In A Banach Space, Huynh Thi Hoang Dung, Le Thi Phuong Ngoc, Nguyen Thanh Long
Turkish Journal of Mathematics
The paper is devoted to the study of a nonlinear integrodifferential equation in N variables with values in a general Banach space. By applying fixed point theorems in a suitable Banach space under appropriate conditions for subsets to be relatively compact, we prove the existence and the compactness of theset of solutions.Inorder to illustrate the results,we give two examples.
Regular Sequences In The Subrings Of C(X),
2020
TÜBİTAK
Regular Sequences In The Subrings Of C(X), Fariborz Azarpanah, Delavar Esmaeilvandi
Turkish Journal of Mathematics
We show that the intermediate subalgebras between $C^*(X)$ and C(X) do not contain regular sequences with length $\geq$ 2. This shows that depth(A(X)) $\leq$ 1 for each intermediate subalgebra A(X) between $C^*(X)$ and C(X). Whenever an intermediate subalgebra A(X) is proper, i.e. A(X) $\neq$ C(X), we observe that the depth of A(X) is exactly 1. Using this, it turns out that depth($C^*(X)$) = 0 if and only if $X$ is a pseuodocompact almost $P$ -space. The regular sequences in the subrings of the form $I + \mathbb{R}$ of C(X), where $I$ is a $z$-ideal of C(X), are also investigated and …
Discrete-Time Average-Cost Mean-Field Games On Polish Spaces,
2020
TÜBİTAK
Discrete-Time Average-Cost Mean-Field Games On Polish Spaces, Naci̇ Saldi
Turkish Journal of Mathematics
In stochastic dynamic games, when the number of players is sufficiently large and the interactions between agents depend on empirical state distribution, one way to approximate the original game is to introduce infinitepopulation limit of the problem. In the infinite population limit, a generic agent is faced with a so-called mean-field game. In this paper, we study discrete-time mean-field games with average-cost criteria. Using average cost optimality equation and Kakutani's fixed point theorem, we establish the existence of Nash equilibria for mean-field games under drift and minorization conditions on the dynamics of each agent. Then, we show that the equilibrium …
The Strong 3-Rainbow Index Of Edge-Amalgamation Of Some Graphs,
2020
TÜBİTAK
The Strong 3-Rainbow Index Of Edge-Amalgamation Of Some Graphs, Zata Yumni Awanis, Anm Salman, Suhadi Wido Saputro, Martin Baca, Andrea Semanicova-Fenovcikova
Turkish Journal of Mathematics
Let G be a nontrivial, connected, and edge-colored graph of order n≥? 3, where adjacent edges may be colored the same. Let k be an integer with 2 ≤? k ≤? n. A tree T in G is a rainbow tree if no two edges of T are colored the same. For S ? V (G), the Steiner distance d(S) of S is the minimum size of a tree in G containing S . An edge-coloring of G is called a strong k-rainbow coloring if for every set S of k vertices of G there exists a rainbow tree of …
Dissipative Canonical Type Differential Operators For First Order,
2020
TÜBİTAK
Dissipative Canonical Type Differential Operators For First Order, Ruki̇ye Öztürk Mert, Zameddi̇n İsmai̇lov, Pembe İpek Al
Turkish Journal of Mathematics
In this paper, using the Calkin-Gorbachuk method, the general form of all maximally dissipative extensions of the minimal operator generated by the first order linear symmetric canonical type quasi-differential expression in the weighted Hilbert space of vector functions has been found. Also, the spectrum set of these extensions has been investigated.
Conceptions On Topological Transitivity In Products And Symmetric Products,
2020
TÜBİTAK
Conceptions On Topological Transitivity In Products And Symmetric Products, Anahi Rojas, Franco Barragan, Sergio Macías
Turkish Journal of Mathematics
Having a finite number of topological spaces $X_i$ and functions $f_i : X_i \to X_i$, and considering one of the following classes of functions: exact, transitive, strongly transitive, totally transitive, orbit-transitive, strictly orbittransitive, $\omega$-transitive, mixing, weakly mixing, mild mixing, chaotic, exactly Devaney chaotic, minimal, backward minimal, totally minimal, $TT_{++}$, scattering, Touhey or an $F$ -system, in this paper, we study dynamical behaviors of the systems $(X_i,f_i)$, $(\prod X_i,\prod f_i)$, $(\mathcal{F}_n(\prod X_i),\mathcal{F}_n(\prod f_i))$, and $(\mathcal{F}_n(X_i),\mathcal{F}_n(f_i))$.
On Connected Tetravalent Normal Edge-Transitive Cayley Graphs Of Non-Abelian Groups Of Order 5p2,
2020
TÜBİTAK
On Connected Tetravalent Normal Edge-Transitive Cayley Graphs Of Non-Abelian Groups Of Order 5p2, Soghra Khazaei, Hesam Sharifi
Turkish Journal of Mathematics
Our aim in this paper is to investigate graph automorphism and group automorphism determining all connected tetravalent normal edge transitive Cayley graphs on non-Abelian groups of order 5p2 with respect to tetravalent sets and same-order elements, where p is a prime number and its Sylow p-subgroup is cyclic.
Some Results Of K-Frames And Their Multipliers,
2020
TÜBİTAK
Some Results Of K-Frames And Their Multipliers, Mitra Shamsabadi, Ali Akbar Arefijamaal
Turkish Journal of Mathematics
K-frames are strong tools for the reconstruction of elements from range of a bounded linear operator K on a separable Hilbert space H. In this paper, we study some properties of K-frames and introduce the K-frame multipliers. We also focus on representing elements from the range of K by K-frame multipliers.
A New Method For Obtaining The Inconsistent Elements In A Decision Table Based On Dominance Principle,
2020
TÜBİTAK
A New Method For Obtaining The Inconsistent Elements In A Decision Table Based On Dominance Principle, Yasemen Uçan, Ahmet Topal, Ni̇lgün Güler Bayazit
Turkish Journal of Mathematics
In this study,using only the dominance relation,we propose a set defining inconsistent elements in the decision table. Then, we show the accuracy of our proposition with an example. We also express the computational complexity comparisons of the proposed method with general method in terms of the number of set intersection operations and the real number comparison operations.
Geodesic Motions In So(2,1),
2020
TÜBİTAK
Geodesic Motions In So(2,1), İsmet Ayhan
Turkish Journal of Mathematics
In this study,we have considered the rotational motions of a particle around the origin of the unit 2-sphere $S_2^2$ with constant angular velocity in semi-Euclidean 3-spacewithindextwo $E^3_2$, namely geodesic motions of $SO(2,1)$. Then we have obtained the vector and the matrix representations of the spherical rotations around the origin of a particle on $S_2^2$. Furthermore, we consider some relations between semi-Riemann spaces $SO(2,1)$ and $T_1S_2^2$ such as diffeomorphism and isometry. We have obtained the system of differential equations giving geodesics of Sasaki semi-Riemann manifold $(T_1S_2^2,g^S)$ . Moreover, we consider the stationary motion of a particle on $S_2^2$ corresponding to one …
Bounds For A New Subclass Of Bi-Univalent Functions Subordinate To The Fibonacci Numbers,
2020
TÜBİTAK
Bounds For A New Subclass Of Bi-Univalent Functions Subordinate To The Fibonacci Numbers, Şahsene Altinkaya
Turkish Journal of Mathematics
In this investigation, by using a relation of subordination, we define a new subclass of analytic bi-univalent functions associated with the Fibonacci numbers. Moreover, we survey the bounds of the coefficients for functions in this class.
Nonnull Curves With Constant Weighted Curvature In Lorentz-Minkowski Plane With Density,
2020
TÜBİTAK
Nonnull Curves With Constant Weighted Curvature In Lorentz-Minkowski Plane With Density, Mustafa Altin, Ahmet Kazan, Haci Bayram Karadağ
Turkish Journal of Mathematics
In this paper, the parametric expressions of spacelike and timelike curves with constant weighted curvature for some cases of $a$ and $b$ in Lorentz-Minkowski plane with density $e^{ax+by}$ are obtained.
On Solvability Of Inverse Problem For One Equation Of Fourth Order,
2020
TÜBİTAK
On Solvability Of Inverse Problem For One Equation Of Fourth Order, Aysel Ramazanova Telman Qizi, Yashar Mehreliyev Topush Oglu
Turkish Journal of Mathematics
The work is devoted to study the existence and uniqueness of the classical solution of the inverse boundary value problem of determining the lowest coefficient in one fourth order equation. The original problem is reduced to an equivalent problem. The existence and uniqueness of the integral equation are proved by means of the contraction mappings principle, and we obtained that this solution is unique for a boundary value problem. Further, using these facts, we prove the existence and uniqueness of the classical solution for this problem.
Nonlinear Variants Of The Generalized Filbert And Lilbert Matrices,
2020
TÜBİTAK
Nonlinear Variants Of The Generalized Filbert And Lilbert Matrices, Emrah Kiliç, Si̇bel Koparal, Neşe Ömür
Turkish Journal of Mathematics
In this paper, we present variants of the generalized Filbert and Lilbert matrices by products of the general Fibonacci and Lucas numbers whose indices are in certain nonlinear forms of the indices with certain integer parameters. We derive explicit formulæ for inverse matrix, LU -decomposition and inverse matrices $L^{-1}$ and $U^{-1}$ for all matrices. Generally, we present $q$-versions of these matrices and their related results.
A Class Of Fredholm Equations And Systems Of Equations Related To The Kontorovich-Lebedev And The Fourier Integral Transforms,
2020
TÜBİTAK
A Class Of Fredholm Equations And Systems Of Equations Related To The Kontorovich-Lebedev And The Fourier Integral Transforms, Trinh Tuan, Nguyen Thanh Hong
Turkish Journal of Mathematics
In this article, we solve in closed form a class of Fredholm integral equations and systems of Fredholm integral equations with nondegenerate kernels by using techniques of convolutions and generalized convolutions related to the Kontorovich-Lebedev, Fourier sine, and Fourier cosine integral transforms.
Representations And Properties Of A New Family Of $\Omega$-Caputofractional Derivatives,
2020
TÜBİTAK
Representations And Properties Of A New Family Of $\Omega$-Caputofractional Derivatives, Abdullah Akkurt, Joel Esteban Restrepo, Hüseyi̇n Yildirim
Turkish Journal of Mathematics
In the most general case of $\omega$-weights, some normed functional spaces $% X_{\omega}^{p}(a,b)( 1\leq p\leq\infty)$, $AC_{\gamma,\omega}^n[a,b]$ and a generalization of the fractional integro-differentiation operator are introduced and analyzed. The boundedness of the $\omega$-weighted fractional operator over $X_{\omega}^{p}(a,b)$ is proved. Some theorems and lemmas on the properties of the invertions of the mentioned operator and several representations of functions from $AC_{\gamma,\omega}^n[a,b]$ are established. A general $\omega$-weighted Caputo fractional derivative of order $\alpha$ is studied over $AC_{\gamma,\omega}^n[a,b]$. Some representations and other properties of this fractional derivative are proved. Some conclusions are presented.
Existence Of Positive Solutions For Nonlinear Multipoint P-Laplacian Dynamic Equations On Time Scales,
2020
TÜBİTAK
Existence Of Positive Solutions For Nonlinear Multipoint P-Laplacian Dynamic Equations On Time Scales, Abdülkadi̇r Doğan
Turkish Journal of Mathematics
In this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary value problems for p-Laplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficient assumptions are obtained for existence of at least twin or arbitrary even positive solutions to some boundary value problems. Our results are achieved by appealing to the fixed point theorems of Avery-Henderson. As an application, an example to demonstrate our results is given.
The Bochner-Convolution Integral For Generalized Functional-Valued Functions Of Discrete-Time Normal Martingales,
2020
TÜBİTAK
The Bochner-Convolution Integral For Generalized Functional-Valued Functions Of Discrete-Time Normal Martingales, Chen Jinshu
Turkish Journal of Mathematics
Let $M$ be a discrete-time normal martingale satisfying some mild conditions, $\mathcal{S}(M)\subset L^2(M)\subset\mathcal{S}^*(M)$ be the Gel'fand triple constructed from the functionals of $M$. As is known, there is no usual multiplication in $\mathcal{S}^*(M)$ since its elements are continuous linear functionals on $\mathcal{S}(M)$. However, by using the Fock transform, one can introduce convolution in $\mathcal{S}^*(M)$, which suggests that one can try to introduce a type of integral of an $\mathcal{S}^*(M)$-valued function with respect to an $\mathcal{S}^*(M)$-valued measure in the sense of convolution. In this paper, we just define such type of an integral. First, we introduce a class of $\mathcal{S}^*(M)$-valued measures …
Some Uncertainty Inequalities Related To The Multivariate Laguerre Function,
2020
TÜBİTAK
Some Uncertainty Inequalities Related To The Multivariate Laguerre Function, Lotfi Kamoun, Rim Selmi
Turkish Journal of Mathematics
In this paper, an analogous of the Heisenberg's inequality is established and three inequalities that constitute local uncertainty principle for the generalized Fourier-Laguerre transform in several variables are developed.
Oscillation Criteria For Higher-Order Neutral Type Difference Equations,
2020
TÜBİTAK
Oscillation Criteria For Higher-Order Neutral Type Difference Equations, Turhan Köprübaşi, Zafer Ünal, Yaşar Bolat
Turkish Journal of Mathematics
In this paper, oscillation criteria are obtained for higher-order neutral-type nonlinear delay difference equations of the form% \begin{equation} \Delta (r_{n}(\Delta ^{k-1}(y_{n}+p_{n}y_{\tau _{n}}))+q_{n}f(y_{\sigma _{n}})=0\text{, }n\geq n_{0}\text{,} \tag{0.1} \end{equation}% where $r_{n},p_{n},q_{n}\in \lbrack n_{0},\infty ),$ $r_{n}>0$, $q_{n}>0$; $% 0\leq p_{n}\leq p_{0}0$; $\tau _{\sigma }=\sigma _{\tau }$; $\frac{f(u)}{u}\geq m>0$ for $u\neq 0$. Moreover, we provide some examples to illustrate our main results.
