STRONGLY CONTINUOUS INTEGRATED COSINE OPERATOR FUNCTIONS WITH GROWTHω
STRONGLY CONTINUOUS INTEGRATED COSINE OPERATOR FUNCTIONS WITH GROWTHω作者机构:Department of Mathematics Nanjing Audit University Nanjing 210029 P. R. China
出 版 物:《Analysis in Theory and Applications》 (分析理论与应用(英文刊))
年 卷 期:2007年第23卷第1期
页 面:1-8页
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:cosine operator functions with growth ω generator generation theorem
摘 要:For a continuous increasing function ω : [0, ∞) → (0, ∞) of finite exponetial type, we establish a Hille-Yosida type theorem for strongly continuous integrated cosine operator functions with O(ω). It includes the well-known polynomially bounded and exponentially bounded cases.