%0 Journal Article
%T <i>¦Á</i>-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem
%A Man Liu
%A Shuling Wang
%A Qingzhi Yu
%A Zhengming Wang
%J International Journal of Modern Nonlinear Theory and Application
%P 164-166
%@ 2167-9487
%D 2013
%I Scientific Research Publishing
%R 10.4236/ijmnta.2013.23022
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">The infinite generator of <i>¦Á</i>-times
Integrated <i>C</i> semigroups and the
properties of resolvent are given</span><span lang=\"EN-US\">.</span><span lang=\"EN-US\"> At the same time</span><span lang=\"EN-US\">,</span><span lang=\"EN-US\"> we discuss the
relationship between the existence of strong solution of a class of
nonhomogeneous abstract Cauchy problem and</span><span lang=\"EN-US\"> </span><i><span lang=\"EN-US\">¦Á</span></i><span lang=\"EN-US\">-times integrated <i>C</i> semigroups, </span><span lang=\"EN-US\">and </span><span lang=\"EN-US\">a sufficient and necessary condition is
obtained.</span><span lang=\"EN-US\"><o:p></o:p></span> 
</p>
%K &lt
%K i&gt
%K ¦Á&lt
%K /i&gt
%K -Times Integrated &lt
%K i&gt
%K C&lt
%K /i&gt
%K Semigroups
%K Abstract Cauchy Problem
%K Strong Solution
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=36440