Regularized cosine existence and uniqueness families for second order abstract Cauchy problems

• Autorzy: Jizhou Zhang
• Języki publikacji: EN

Abstrakty

EN

Let $C_{i}$ (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.

Kategorie tematyczne

• 47D09: Operator sine and cosine functions and higher-order Cauchy problems
• 47D06: One-parameter semigroups and linear evolution equations
• 34G10: Linear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 152
• Numer: 2
• Strony: 131-145

Daty

wydano

2002

Twórcy

autor

Jizhou Zhang

• Department of Mathematics, Shanghai Normal University, Shanghai 200234, People's Republic of China

Identyfikatory

DOI

10.4064/sm152-2-3