Open Mathematics, Page 2

Journal Article

Construction of 4 x 4 symmetric stochastic matrices with given spectra

Jung, Jaewon; Kim, Donggyun

2024 Open Mathematics

doi:10.1515/math-2023-0176

AbstractThe symmetric stochastic inverse eigenvalue problem (SSIEP) asks which lists of real numbers occur as the spectra of symmetric stochastic matrices. When the cardinality of a list is 4, Kaddoura and Mourad provided a sufficient condition for SSIEP by a mapping and convexity technique. They...

Open Access

Journal Article

On the generalized exponential sums and their fourth power mean

Liu, Wencong; Ning, Shushu

2024 Open Mathematics

doi:10.1515/math-2023-0187

AbstractThe main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a result of the fourth power mean of...

Open Access

Journal Article

Note on quasivarieties generated by finite pointed abelian groups

Basheyeva, Ainur; Lutsak, Svetlana

2024 Open Mathematics

doi:10.1515/math-2023-0181

AbstractWe prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi-identities. The problems arising from the...

Open Access

Journal Article

Two results on the value distribution of meromorphic functions

Yang, Degui; He, Zhiying; Liu, Dan

2024 Open Mathematics

doi:10.1515/math-2024-0004

AbstractIn this article, we prove two results on the value distribution of meromorphic functions. Using the theorem of Yamanoi, the first result gives a precise estimation of the relationship between the characteristic function of a meromorphic function and its kkth derivative in a concise form....

Open Access

Journal Article

Local and global solvability for the Boussinesq system in Besov spaces

Yan, Shuokai; Wang, Lu; Zhang, Qinghua

2024 Open Mathematics

doi:10.1515/math-2023-0182

AbstractThis article focuses on local and global existence and uniqueness for the strong solution to the Boussinesq system in Rn{{\mathbb{R}}}^{n}(n≥3n\ge 3) with full viscosity in Besov spaces. Under the hypotheses 1

Open Access

Journal Article

On certain functional equation related to derivations

Marcen, Benjamin; Vukman, Joso

2024 Open Mathematics

doi:10.1515/math-2023-0166

AbstractIn this article, we prove the following result. Let n≥3n\ge 3be some fixed integer and let RRbe a prime ring with char(R)≠(n+1)!2n−2{\rm{char}}\left(R)\ne \left(n+1)\!{2}^{n-2}. Suppose there exists an additive mapping D:R→RD:R\to Rsatisfying the relation...

Open Access

Journal Article

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Bani-Ahmad, Feras; Rashid, Mohammad Hussein Mohammad

2024 Open Mathematics

doi:10.1515/math-2023-0185

AbstractThis article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert-Schmidt norm and the trace norm. The...

Open Access

Journal Article

Infinitely many solutions for Schrödinger equations with Hardy potential and Berestycki-Lions conditions

Zhou, Shan

2024 Open Mathematics

doi:10.1515/math-2023-0175

AbstractIn this article, we investigate the following Schrödinger equation: −Δu−μ∣x∣2u=g(u)inRN,-\Delta u-\frac{\mu }{{| x| }^{2}}u=g\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\mathbb{R}}}^{N},where N≥3N\ge 3, μ∣x∣2\frac{\mu }{{| x| }^{2}}is called the Hardy potential and ggsatisfies...

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