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

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.

Keywords

• Differential inequality
• Carathéodory comparison equation
• Multifunction
• Differential inclusion
• Cauchy problem
• Global (semi)classical solution