Journal of Inequalities and Applications 
Volume 2 (1998), Issue 4, Pages 357-372
doi:10.1155/S1025583498000228

On some differential inequalities and the uniqueness of global semiclassical solutions to the cauchy problem for weakly-coupled systems

Tran Duc Van,1 Le Van Hap,2 and Nguyen Duy Thaison2

 1Hanoi Institute of Mathematics, P.O. Box 631, Boho, Hanoi 10000, Vietnam
2Hue University, 3 Leloi Street, Hue, Vietnam
Received 30 September 1997; Revised 2 December 1997

Abstract

We combine our previous method of multifunctions and differential inclusions with the technique of Carathéodory comparison equations and consider some partial differential inequalities of Haar type. In this way, certain new uniqueness criteria for global semiclassical solutions to weakly-coupled systems will be derived.