Abstract:
We prove nonexistence theorems of nonnegative nontrivial solutions for a
system of ordinary differential inequalities in bounded domains with singular points
on the boundary.
The proofs are based on the test function using
a method developed by Mitidieri and Pohozaev.
We also give the examples demonstrating
that the conditions obtained are sharp in the case of the problem under consideration.
Keywords:system of ordinary differential inequalities, nonexistence Theorem,test function
method.
