Analytical methods in differential systems and vector fields combine classical techniques with modern computational approaches to elucidate the intricate dynamics of nonlinear systems. Researchers use ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Given a homogeneous k-th order differential operator A(D) on ℝn between two finite dimensional spaces, we establish the Hardy inequality ${\int }_{{\mathrm{\mathbb ...

This is a preview. Log in through your library . Abstract A useful result when dealing with backward stochastic differential equations is the comparison theorem of Peng (1992). When the equations are ...