East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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NONLINEAR SEMIGROUPS AND DIFFERENTIAL INCLUSIONS IN PROBABILISTIC NORMED SPACES

  • Chang, S.S. (Department of Mathematics Sichuan University) ;
  • Ha, K.S. (Department of Mathematics Pusan National University) ;
  • Cho, Y.J. (Department of Mathematics Gyeongsang National University) ;
  • Lee, B.S. (Department of Mathematics Kyungsung University) ;
  • Chen, Y.Q. (Department of Mathematics Sichuan University, China)
  • Published : 1998.06.25
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Abstract

The purpose of this paper is to introduce and study the semigroups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive mappings in probabilistic normed spaces. As applications, we utilize these results to study the Cauchy problem for a kind of differential inclusions with accertive mappings in probabilistic normed spaces.

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