Abstract
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.
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Wang, M., Chen, G. Strongly continuous integrated cosine operator functions with growth ω. Analys in Theo Applic 23, 1–8 (2007). https://doi.org/10.1007/s10496-007-0001-4
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DOI: https://doi.org/10.1007/s10496-007-0001-4