Oscillation criteria are established for nonlinear matrix differential equations of the form [ A(x)V' ]' + B(x, V, V')V = 0 and associated differential inequalities. The hypothesis used recently by E.

For systems of matrix equations of the form $$U' = A(t, U, V)V,\quad V' = - B(t, U, V)$$ it is shown here that the oscillation problem can be reduced to the ...

Delay differential equations (DDEs) extend the classical framework of differential equations by incorporating terms that depend on past states, thus capturing the intrinsic time delays found in many ...