A characterization of evolution operators

• Autorzy: Naoki Tanaka
• Języki publikacji: EN

Abstrakty

EN

A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 34G10: Linear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 146
• Numer: 3
• Strony: 285-299

Daty

wydano

2001

Twórcy

autor

Naoki Tanaka

• Department of Mathematics, Faculty of Science, Okayama University, Okayama 700-8530, Japan

Identyfikatory

DOI

10.4064/sm146-3-5