Differential Galois theory provides an algebraic framework for understanding the symmetries and solvability of linear differential equations by associating to each equation a group of ...
Linear dynamics examines the evolution of elements in infinite-dimensional spaces under repeated application of bounded linear operators. Central themes include the study of orbits, spectral ...
We study the solutions of ordinary linear differential equations whose coefficients are analytic elements. As one application we show nonexistence of index for certain linear differential operators ...