Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (2): 213-221.

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MULTIVALUED DIFFERENTIAL EQUATIONS IN BANACH SPACES AND THEIR APPLICATIONS

 LIU Zhen-Hai, Ivan Szanto   

  1. Department of Mathematics, Changsha University of Electric Power, Hunan 410077, China
    School of Mathematics and Information Sciences, Wenzhou University, Wenzhou 325027, China Departamento de Matematica, Universidad T.F.Santa Maria, Casilla 110-V, Valparaiso, Chile
  • Online:2002-04-15 Published:2002-04-15
  • Supported by:

    This research is supported by the National Natural Science Foundation of China(10171008)

Abstract:

This paper studies the existence of solutions to a class of multivalued differ-ential equations by using a surjectivity result for multivalued (S+) type mappings. The authors then apply their results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems.

Key words: Evolution equations, differential inclusions, mulitvalued mappings, existence results, hemivariational inequality

CLC Number: 

  • 34G05
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