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 ...

The equation of motion of a discrete linear system has the form of a second-order ordinary differential equation with three real and square coefficient matrices. It is shown that, for almost all ...

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...

Partial differential equations (PDEs) are a class of mathematical problems that represent the interplay of multiple variables, and therefore have predictive power when it comes to complex physical ...