Local attractivity in nonautonomous semilinear evolution equations

• Autorzy: Joël Blot , Constantin Buşe , Philippe Cieutat
• Języki publikacji: EN

Abstrakty

EN

We study the local attractivity of mild solutions of equations in the form u’(t) = A(t)u(t) + f (t, u(t)), where A(t) are (possible) unbounded linear operators in a Banach space and where f is a (possible) nonlinear mapping. Under conditions of exponential stability of the linear part, we establish the local attractivity of various kinds of mild solutions. To obtain these results we provide several results on the Nemytskii operators on the space of the functions which converge to zero at infinity

Słowa kluczowe

EN

semilinear evolution equation; evolution family; exponential stability; attractivity; Nemytskii operator

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2014
• Tom: 1
• Numer: 1

Daty

wydano

2014-01-01

otrzymano

2014-01-17

zaakceptowano

2014-03-21

online

2014-05-17

Twórcy

autor

Joël Blot

• Laboratoire SAMM EA 4543, Université Paris 1 Panthéon-Sorbonne, centre P.M.F., 90 rue de Tolbiac, 75634 Paris cedex 13, France

autor

Constantin Buşe

• West University of Timisoara, Department of mathematics, Bd V. Parvan No. 4, 300223-Timisoara, România

autor

Philippe Cieutat

• Laboratoire de Mathématiques de Versailles, UMR-CNRS 8100, Université Versailles-Saint-Quentin-en-Yvelines, 45 avenue des États-Unis, 78035 Versailles cedex, France

Bibliografia

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Identyfikatory

DOI

10.2478/msds-2014-0002