Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51410#.VGlR1WfHRK0 Author(s) Lufeng Ling * Affiliation(s) School of Mathematics and Information Science, Shangqiu Teachers College, Shangqiu, Henan, China . ABSTRACT In this paper, based on the theories of α-times Integrated Cosine Function, we discuss the approximation theorem for α -times Integrated Cosine Function and conclude the approximation theorem of exponentially bounded α -times Integrated Cosine Function by the approximation theorem of n -times integrated semigroups. If the semigroups are equicontinuous at each point , we give different methods to prove the theorem. KEYWOR...
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