Spectral Distribution of Transport Operator Arising in Growing Cell Populations by Hongxing Wu, Shenghua Wang, Dengbin Yuan

“…It is to prove that the transport operator AH generates a C0 semigroup and the ninth-order remainder term R9(t) of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operator AH consists of only finite isolated eigenvalues with finite algebraic multiplicities in a trip Γω. …”
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Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations by Valentin Keyantuo, Carlos Lizama, Mahamadi Warma

“…When A is the generator of a C0-semigroup (T(t))t≥0 on a Banach space X, we obtain an explicit representation of mild solutions of the above problem in terms of the semigroup. …”
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On the Abstract Subordinated Exit Equation by Hassen Mejri, Ezzedine Mliki

“…Let 𝛽 be a Bochner subordinator and let ℙ𝛽 be the subordinated semigroup of ℙ (in the Bochner sense) by means of 𝛽. …”
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Porous-elastic system with boundary dissipation of fractional derivative type by Oliveira Wilson, Cordeiro Sebastião, Raposo Carlos, Campelo Anderson

“…The energy function is presented, and the dissipative property of the system is established. We use the semigroup theory. The existence and uniqueness of the solution are obtained by applying the well-known Lumer-Phillips Theorem. …”
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$\gamma$- BCK algebras by Arsham Borumand Saeid, M Murali Krishna Rao, R Kumar Kona

“…We know that $\Gamma-$ring, $\Gamma-$incline, $\Gamma-$semiring, $\Gamma-$semigroup are generalizations ofring, incline, semiring and semigroup respectively. …”
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On Decompositions of Matrices over Distributive Lattices by Yizhi Chen, Xianzhong Zhao

“…Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. …”
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Asymptotical expansions in the Kubilius theorem of large deviations by Rimantas Skrabutėnas

“… In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained. …”
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Stability Analysis of a Repairable System with Warning Device and Repairman Vacation by Yangli Ren, Lina Guo, Lingling Zhang

“…Further, the asymptotic stability, especially the exponential stability of the system dynamic solution, is studied by using the strongly continuous semigroup theory or C0 semigroup theory. The reliability indices and some applications (such as the comparisons of indices and profit of systems with and without warning device), as well as numerical examples, are presented at the end of the paper.…”
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Positive Solutions for the Initial Value Problems of Fractional Evolution Equation by Yue Liang, Yu Ma, Xiaoyan Gao

“…This paper discusses the existence of positive solutions for the initial value problem of fractional evolution equation with noncompact semigroup , ; in a Banach space , where denotes the Caputo fractional derivative of order , is a closed linear operator, generates an equicontinuous semigroup, and is continuous. …”
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A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals by Venus Amjid, Faisal Yousafzai, Kostaq Hila

“…An ordered AG-groupoid can be referred to as an ordered left almost semigroup, as the main difference between an ordered semigroup and an ordered AG-groupoid is the switching of an associative law. …”
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The formal Laplace-Borel transform of Fliess operators and the composition product by Yaqin Li, W. Steven Gray

“…Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide an isomorphism between the semigroup of all Fliess operators under operator composition and the semigroup of all locally convergent formal power series under the composition product. …”
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A Simple Repairable System with Warning Device by Xiao Zhang, Lina Guo

“…Then the unique existence and asymptotic stability, especially the exponential stability of the system dynamic solution, are studied by using the strongly continuous semigroup theory or C0 semigroup theory and the spectrum theory. …”
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Heat Equations Associated with Weinstein Operator and Applications by Hatem Mejjaoli

“…We establish a characterization for the homogeneous Weinstein-Besov spaces via the Weinstein heat semigroup. Next, we obtain the generalized Sobolev embedding theorems.…”
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The Relationship between Some Regular Subsemigroups of HypG2 by Weerapong Wongpinit, Sorasak Leeratanavalee

“…The concept of regular subsemigroups plays an important role in the theory of semigroup. In this work, we study the relationship between some regular subsemigroups on the monoid of all generalized hypersubstitutions of type τ=(2).…”
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Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity by Zhiyong Ma

“…We obtain a global existence result for the higher-dimensional thermoviscoelastic equations. Using semigroup approach, we will establish the global existence of homogeneous, nonhomogeneous, linear, semilinear, and nonlinear, thermoviscoelastic systems.…”
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Existence and Attractivity for Fractional Evolution Equations by Yong Zhou, Jia Wei He, Bashir Ahmad, Ahmed Alsaedi

“…We establish sufficient conditions for the global attractivity of mild solutions for the Cauchy problems in the case that semigroup is compact.…”
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Controllability of semilinear stochastic delay evolution equations in Hilbert spaces by P. Balasubramaniam, J. P. Dauer

“…The controllability of semilinear stochastic delay evolution equations is studied by using a stochastic version of the well-known Banach fixed point theorem and semigroup theory. An application to stochastic partial differential equations is given.…”
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The effective use of remainder term estimation in the limit theorems by Rimantas Skrabutėnas

“…In the present paper the asymptotic formula under special condition on prime elements of Knopfmacher’s semigroup G is obtained. …”
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Approximate Boundary Controllability for Semilinear Delay Differential Equations by Lianwen Wang

“…This paper considers the approximate controllability for a class of semilinear delay control systems described by a semigroup formulation with boundary control. Sufficient conditions for approximate controllability are established provided the approximate controllability of corresponding linear systems.…”
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Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces by Irina V. Melnikova, Uljana A. Alekseeva

“…Generalized solutions to the abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under consideration. …”
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