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Para-Markov chains and related non-local equations. [PDF]
Facciaroni L +3 more
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Analytic resolvent semilinear integro‐differential systems: Existence and optimal control
Social Science Research Network, 2022The primary contributions of this article are the existence of mild solutions and optimal control for analytic resolvent semilinear integro‐differential systems.
Rohit Patel +3 more
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Semigroup Forum, 2020
The purpose of this paper is to give an updated survey on various algebraic and analytic properties of semigroups related to fixed point properties of semigroup actions on a non-empty closed convex subset of a Banach space or, more generally, a locally ...
A. Lau, Y. Zhang
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The purpose of this paper is to give an updated survey on various algebraic and analytic properties of semigroups related to fixed point properties of semigroup actions on a non-empty closed convex subset of a Banach space or, more generally, a locally ...
A. Lau, Y. Zhang
semanticscholar +1 more source
Asymptotics of Analytic Semigroups
Semigroup Forum, 2001The main result of this paper is that if the closed, densely defined operator \(A\) generates a \(C_0\)-semigroup \(T(\cdot)\), extending analytically in some given sector such that the norm of \(T(\cdot)\) is bounded in each proper subsector, then the norm of \(zAT(z)\) is bounded in each proper subsector.
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Competition models with diffusion, analytic semigroups, and inertial manifolds
Mathematical methods in the applied sciences, 2018Motivated by a two‐specie competition model with cross‐diffusion in population ecology with time‐dependent environmental capacity, we study the semilinear parabolic evolution equation of the form x˙+Ax=f(t,x) where the linear operator −A generates an ...
Thieu Huy Nguyen, X. Bui
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Asymptotics of Analytic Semigroups, II
Semigroup Forum, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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-admissibility and analytic -semigroups
Nonlinear Analysis: Theory, Methods & Applications, 2011This paper gives a uniqueness result for the solution of the operator equation \(AX-XB=CD\) in the case of \(A\) being the generator of an analytic \(C\)-regularized semigroup in a Banach space \(F\) and \(B\) being a closed linear operator in \(F\) with some further properties. When \(C=I\), the result was proved by \textit{Q. P.
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