Bulletin of the
Korean Mathematical Society
BKMS
ISSN(Print) 1015-8634
ISSN(Online) 2234-3016
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Ahead of Print Articles
The following are papers that have received final approval and are awaiting to be published. They are listed in the order of their initial submission date.
Papers are published in the order of their initial submission date and will be made available under “Current Issue” once scheduled to be included in a print issue.
Final published versions of all papers are available under “All Issues” and also under “Current Issue” for papers included in the current issue.
* Paper information have been automatically generated from the information submitted by authors in the online submission system.
Papers are published in the order of their initial submission date and will be made available under “Current Issue” once scheduled to be included in a print issue.
Note: Please understand the below list is not in the exact publishing order of the papers as the list does not include papers under internal reviewing process nor those that have not been galley proofed by the authors.
Final published versions of all papers are available under “All Issues” and also under “Current Issue” for papers included in the current issue.
* Paper information have been automatically generated from the information submitted by authors in the online submission system.
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Online first article September 20, 2024
Growth of Solutions of Some Second Order Differential Equations with Entire Coefficients
Zhi-Bo Huang, Ilpo Laine, and Jia-Ling LinAbstract : In this paper, we consider the differential equation \begin{equation*} f''+Af'+Bf=0, (*) \end{equation*} where $A(z)$ and $B(z)\not\equiv 0$ are entire functions. Assume that $A(z)$ is a non-trivial solution of $\omega''+P(z)\omega=0$, where $P(z)$ is a polynomial. If $B(z)$ satisfies extremal for Yang's inequality and other conditions, then every non-trivial solution $f$ of equation (*) has $\mu(f)=\infty$. We also investigate the relation between a small function and a differential polynomial of $f$.
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Online first article January 14, 2025
Long time behavior and numerical treatment of shear beam model subject to a delay
Meriem Chabekh and Nadhir ChouguiAbstract : In this paper, we consider a one-dimensional system known as Shear beam model (no rotary inertia) where the transverse displacement equation is subject to a delay. Under suitable assumptions on the weight of the delay, we first achieved the global well-posedness of the system by using the classical Faedo-Galerkin approximations along with three a priori estimates. Next, we study the asymptotic behavior of solutions using the energy method. Later we propose a discretization based on P1-finite element for space and implicit Euler scheme for time, where a discrete stability property and a priori error estimates of the discrete problem are proved. Finally, some numerical simulations are presented.
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Online first article January 13, 2025
Perturbation of Hilbert-Samuel function relative to an Artinian module
Ton That Quoc TanAbstract : Let $(R, \mathfrak{m})$ be a noetherian local ring and $M$ a co-Cohen-Macaulay $R$-module. Suppose $f_1, \ldots, f_r$ form an $M$-coregular sequence and let $I = (f_1, \ldots, f_r)$. Consider an ideal $J$ of $R$ such that $\lambda(0:_M(I,J)) < \infty$. In this paper, we will prove that the Hilbert-Samuel function of $J$ relative to $\overline{M} = 0:_MI$ is preserved under $J$-adic perturbations of $I$.
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Online first article January 14, 2025
The Euler characteristic of the fiber product of Morse functions
Yasuhiko KamiyamaAbstract : For a Morse function $f: M ¥to ¥R$ on a connected closed manifold $M$, we denote by $C(f)$ the fiber product of two copies of $f$. We prove a formula which describes $¥chi (C(f))$. As an application, we consider two Morse functions on $U(n)$. We obtain the result that $¥chi (C(f))$ is $(-2)^n$ or a certain number which originated in dynamics.
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Online first article January 14, 2025
On Ricci-Bourguignon solitons for statistical submersions
Bang Yen Chen, Mohd Danish Siddiqi, and Aliya Naaz SiddiquiAbstract : In this research article, first we derive some sharp inequalities for statistical submersions. Then we study Ricci-Bourguignon solitons on statistical submersions with parallel vertical or horizontal distribution. Finally, we study Ricci-Bourguignon solitons on statistical submersions with conformal or gradient potential vector field.
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Online first article January 14, 2025
On the Killing and related conditions for the Reeb vector field of an almost contact Riemannian manifold
Yaning Wang and Yuan ZhouAbstract : We give some new characterization of the Reeb vector field of a contact Riemannian or almost cosymplectic manifold to be Killing. We investigate weakly conformally flat almost Kenmotsu and almost cosymplectic manifolds.
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Online first article January 14, 2025
Existence and Properties of Topological solutions in Abelian gauge field models
Juhee SohnAbstract : This paper concerns with the generalized form of the self-dual equation in Abelian gauge field theories combined with the Einstein equations. In particular, we prove the existence of topological multi-string solutions and the radial symmetry of one-string topological solutions.
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Online first article July 23, 2024
The generalized Zhang’s operator and Kastler-Kalau-Walze type theorems for six-dimensional manifolds with boundary
Hongfeng Li and Yong WangAbstract : In [16], we obtain two Lichnerowicz type formulas for the generalized Zhang’s operator. And we give the proof of the Kastler-Kalau-Walze type theorem for the generalized Zhang’s operator on 4-dimensional oriented compact manifolds with (resp. without) boundary. In this paper, we give the proof of the Kastler-Kalau-Walze type theorem for the generalized Zhang’s operator on 6-dimensional oriented compact manifolds with boundary.
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Online first article January 13, 2025
Matrix Harnack estimates for a parabolic equation on compact K\"ahler manifolds
Guangwen ZhaoAbstract : We prove matrix and classical Harnack estimates for a positive solution to the parabolic equation \[ \partial_tu(x,t)=\Delta u(x,t)+A(u(x,t)) \] on a compact K\"ahler manifold. By tracing and integrating the matrix Harnack inequality, we obtain the classical Harnack estimate. We also give matrix and classical Harnack inequalities of two classes of specific parabolic equations, which extend existing results to more general cases.
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Semi-symmetric structure Jacobi operator for real hypersurfaces in the complex quadric
Imsoon Jeong, Gyu Jong Kim, Changhwa Woo
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On the greatest common divisor of binomial coefficients
Sunben Chiu, Pingzhi Yuan, Tao Zhou
Bull. Korean Math. Soc. 2023; 60(4): 863-872
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The third Hermitian-Toeplitz and Hankel determinants for parabolic starlike functions
Rosihan M. Ali, Sushil Kumar, Vaithiyanathan Ravichandran
Bull. Korean Math. Soc. 2023; 60(2): 281-291
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Products of composition, differentiation and multiplication from the cauchy spaces to the Zygmund space
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Bull. Korean Math. Soc. 2023; 60(4): 1061-1070
https://doi.org/10.4134/BKMS.b220471
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The third Hermitian-Toeplitz and Hankel determinants for parabolic starlike functions
Rosihan M. Ali, Sushil Kumar, Vaithiyanathan Ravichandran
Bull. Korean Math. Soc. 2023; 60(2): 281-291
https://doi.org/10.4134/BKMS.b210368 -
On the greatest common divisor of binomial coefficients
Sunben Chiu, Pingzhi Yuan, Tao Zhou
Bull. Korean Math. Soc. 2023; 60(4): 863-872
https://doi.org/10.4134/BKMS.b220166 -
Semi-symmetric structure Jacobi operator for real hypersurfaces in the complex quadric
Imsoon Jeong, Gyu Jong Kim, Changhwa Woo
Bull. Korean Math. Soc. 2023; 60(4): 849-861
https://doi.org/10.4134/BKMS.b220152 -
Annihilator ideals of simple modules of restricted quantized enveloping algebra
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