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Acta Mathematica Vietnamica

ON THE UNIQUENESS OF GLOBAL CLASSICAL SOLUTIONS OF THE CAUCHY PROBLEMS FOR NONLINEAR  PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER

TRAN DUC VAN, NGUYEN DUY THAI SON

Abstract

Some uniqueness theorems for global classical solutions of the Cauchy problems for general nonlinear partial differential equations of first order are established by the method based on the theory of multivalued mappings and differential inclusions.