Takashi Suzuki. Source: Advances in Differential Equations, Volume 25, Number 1/2, 81--104.Abstract: We study quasi-positive dissipative reaction diffusion systems with polynomial growth and show several criteria for global-in-time existence of the classical solution uniformly bounded. ...
Nakao Hayashi, Pavel I. Naumkin. Source: Advances in Differential Equations, Volume 25, Number 1/2, 31--80.Abstract: We consider the Cauchy problem for the fractional nonlinear Schrödinger equation \[ \left\{ \begin{array} [c]{c}% i\partial_{t}u+\frac{1}{\alpha} \left| \partial_{x} \right|...
Marta Kowalczyk, Ernesto Pérez-Chavela, Sławomir Rybicki. Source: Advances in Differential Equations, Volume 25, Number 1/2, 1--30.Abstract: In this article, we prove two versions of the Lyapunov center theorem for symmetric potentials. We consider a second order autonomous system $$ \ddot...
Algorithms can be very useful, but lately, with so much data being created and shared, and with the increase in their use in critical areas such as hiring, credit, and health care, algorithms are under intense scrutiny about their fairness. People experience the effects of an algorithm's conclusion,...
Arun Kajla, Tuncer Acar. Source: Annals of Functional Analysis, Volume 10, Number 4, 570--582.Abstract: In the present note, following a new approach recently described by Khosravian-Arab, Dehghan, and Eslahchi, we construct a new kind of $\alpha $ -Bernstein operator and study a uniform...
H. Akhadkulov, M. S. Noorani, H. Ibrahim, S. Akhatkulov. Source: Annals of Functional Analysis, Volume 10, Number 4, 562--569.Abstract: Let $T_{1}$ and $T_{2}$ be two piecewise smooth circle homeomorphisms with countably many break points and identical irrational rotation number. We provide a...
Cláudio A. Fernandes, Alexei Y. Karlovich, Yuri I. Karlovich. Source: Annals of Functional Analysis, Volume 10, Number 4, 553--561.Abstract: Let $X(\mathbb{R})$ be a separable Banach function space such that the Hardy–Littlewood maximal operator $M$ is bounded on $X(\mathbb{R})$ and on its...
Dongwei Li, Jinsong Leng. Source: Annals of Functional Analysis, Volume 10, Number 4, 537--552.Abstract: Controlled frames and g-frames were considered recently as generalizations of frames in Hilbert spaces. In this paper we generalize some of the known results in frame theory to controlled...
Morteza Mirzaee Azandaryani. Source: Annals of Functional Analysis, Volume 10, Number 4, 525--536.Abstract: In the following we show that, under some conditions, $\varphi$ -morphisms preserve duals and approximate duals of frames in Hilbert $C^{\ast }$ -modules. Moreover, using $\varphi $...
Yuanxia Li, Dongni Tan. Source: Annals of Functional Analysis, Volume 10, Number 4, 515--524.Abstract: We say that a map $f:X\rightarrow Y$ between two real normed spaces is a phase-isometry if $\{\|f(x)+f(y)\|,\|f(x)-f(y)\|\}=\{\|x+y\|,\|x-y\|\}$ holds for all $x,y\in X$ . Two maps...
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