J4 ›› 2012, Vol. 47 ›› Issue (6): 107-110.

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Bi-continuous n-times integrated C-semigroups and C-wellposedness of an abstract Cauchy problem

CHANG Sheng-wei, LIU Rui   

  1. College of Mathematics and Computer Science of Yan’an University, Yan’an 716000, Shaanxi, China
  • Received:2011-11-28 Online:2012-06-20 Published:2012-06-26

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Abstract:

The relations of bi-continuous n-times integrated C-semigroups and C-wellposedness of an Abstract Cauchy Problem(ACP) are discussed. A closed linear operator A(sub) generating bi-continuous n-times integrated C-semigroups is equivalent to (ACP) owing C-wellposedness.

Key words:  bi-continuous n-times integrated; C-semigroups; generator; Cauchy problem; C-wellposedness

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