Tomoyuki Tanaka. Source: Advances in Differential Equations, Volume 24, Number 9/10, 555--580.Abstract: We consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. Nonlinear terms may yield derivative losses, which prevents us from using the classical energy method. In...

Fabio Camilli, Raul De Maio. Source: Advances in Differential Equations, Volume 24, Number 9/10, 531--554.Abstract: We consider a Mean Field Games model where the dynamics of the agents is subdiffusive. According to the optimal control interpretation of the problem, we get a system involving...

Jie Xiao, Dachun Yang, Junjie Zhang, Yuan Zhou. Source: Advances in Differential Equations, Volume 24, Number 9/10, 501--530.Abstract: This paper shows a Liouville-type law for the incompressible Stokes system and a trace principle over the uniform domains for the BMO-Q spaces...

Ali Zamani. Source: Annals of Functional Analysis, Volume 10, Number 3, 433--445.Abstract: In the following we generalize the concept of Birkhoff–James orthogonality of operators on a Hilbert space when a semi-inner product is considered. More precisely, for linear operators $T$ and $S$ on a...

Trung Hoa Dinh, Oleg E. Tikhonov, Lidia V. Veselova. Source: Annals of Functional Analysis, Volume 10, Number 3, 425--432.Abstract: We extend inequalities for operator monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra. In particular, this...

Qingmei Bai, Alatancang Chen, Junjie Huang. Source: Annals of Functional Analysis, Volume 10, Number 3, 412--424.Abstract: Let $M_{C}=[\begin{smallmatrix}A&C\\0&B\end{smallmatrix}]:\mathcal{D}(A)\oplus \mathcal{D}(B)\subset \mathcal{H}\oplus\mathcal{K}\longrightarrow \mathcal{H}\oplus...

Fuli Wang, Yujun Cui, Hua Zhou. Source: Annals of Functional Analysis, Volume 10, Number 3, 395--411.Abstract: We investigate the solvability for an infinite system of fractional order boundary value problems of differential equations in Banach sequence spaces $\ell _{\infty }$ and $\mathbf{c}$ ....

Janusz Morawiec, Thomas Zürcher. Source: Annals of Functional Analysis, Volume 10, Number 3, 381--394.Abstract: Fix $N\in\mathbb{N}$ , and assume that, for every $n\in\{1,\ldots,N\}$ , the functions $f_{n}\colon[0,1]\to[0,1]$ and $g_{n}\colon[0,1]\to\mathbb{R}$ are Lebesgue-measurable, $f_{n}$ is...

Mamoon Ahmed. Source: Annals of Functional Analysis, Volume 10, Number 3, 370--380.Abstract: Let $(G,G_{+})$ be a lattice-ordered abelian group with positive cone $G_{+}$ , and let $H_{+}$ be a hereditary subsemigroup of $G_{+}$ . In previous work, the author and Pryde introduced a closed ideal...

Mustapha Raïssouli, Rabie Zine. Source: Annals of Functional Analysis, Volume 10, Number 3, 357--369.Abstract: In this paper, we give some refinements and reverses for the Hermite–Hadamard inequality when the integrand map is the Fenchel conjugate in convex analysis. The theoretical results...