J. Mirzov

Nonoscillatory Solutions of Some Differential Systems

abstract:
For a system of differential inequalities we present exact conditions for non-existence of global solutions of constant sign in subcritical and critical cases. In the supercritical case we indicate one sufficient condition for non-existence of global solutions of constant sign which is, possibly, also exact.

Mathematics Subject Classification: 34C10.

Key words and phrases: System of differential inequalities, global solution of constant sign, non-existence.