A note on the support of right invariant measures by N. A. Tserpes

Subjects: “…topological semigroup…”
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Finite propagation speed and kernels of strictly elliptic operators by David Gurarie

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Rings with a finite set of nonnilpotents by Mohan S. Putcha, Adil Yaqub

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Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem by Ismail Airou, Ali El Mfadel, Elomari Mhamed

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A note on the global properties of an age-structured viral dynamic model with multiple target cell populations by Shaoli Wang, Jianhong Wu, Libin Rong

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An introduction of F-graphs, a graph-theoretic representation of natural numbers by E. J. Farrell

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An ordered set of Nörlund means by J. Defranza

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A Study on the Existence, Uniqueness, and Stability of Fractional Neutral Volterra-Fredholm Integro-Differential Equations with State-Dependent Delay by Prabakaran Raghavendran, Tharmalingam Gunasekar, Junaid Ahmad, Walid Emam

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Security analysis of public-key cryptosystems based on matrix action problem against quantum attack by Huawei HUANG

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Exponential stability for abstract linear autonomous functional differential equations with infinite delay by Jin Liang, Falun Huang, Tijun Xiao

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On coincidence and common fixed points of nearly densifying mappings by Zeqing Liu, Jeong Sheok Ume

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Complete positivity order and relative entropy decay by Li Gao, Marius Junge, Nicholas LaRacuente, Haojian Li

“…We prove that for a GNS-symmetric quantum Markov semigroup, the complete modified logarithmic Sobolev constant is bounded by the inverse of its complete positivity mixing time. …”
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On ∼n Notion of Conjugacy in Some Classes of Epigroups by Aftab Hussain Shah, Amal S. Alali, Mohd Rafiq Parray

“…Generalizing the group theoretic notion of conjugacy to semigroups is one of the interesting problems, and semigroup theorists had produced substantial amount of research in this direction. …”
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Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations by Xavier Barrachina, J. Alberto Conejero

“…The notion of distributional chaos has been recently added to the study of the linear dynamics of operators and C0-semigroups of operators. We will study this notion of chaos for some examples of C0-semigroups that are already known to be Devaney chaotic.…”
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On quasi-ideals of semirings by Christoph Dönges

“…Corresponding results to those given here for semirings are mostly known as well for rings as for semigroups, but often proved by different methods. All proofs of our paper, however, apply simultaneously to semirings, rings and semigroups (cf. …”
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Local distributions of multiplicative functions by Rimantas Skrabutėnas

“… In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered. …”
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Navier-Stokes Equations with Potentials by Adriana-Ioana Lefter

“…Using the theory of nonlinear semigroups, we prove existence results for strong and weak solutions. …”
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The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability by Li Chen-Yu

“…In this paper, we investigate the observability of the fractional resolvent family, and we prove two main results: the first result shows a generalization of the Hautus-type test for observable exponentially stable semigroups to the fractional resolvent family and the second result shows the equivalence of the observability and the below boundedness of the linear operator on the wave packet when the generator conforms to a specific form.…”
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Regularity of Global Attractor for the Reaction-Diffusion Equation by Hong Luo

“…By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space Hk for all k>0, which attracts any bounded subset of Hk(Ω) in the Hk-norm.…”
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On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces by João Pedro Boto

“…Applications are given to linear parabolic equations and to Schrödinger semigroups.…”
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