Liouville theorems have long been a cornerstone in the study of partial differential equations, offering fundamental insights into the nonexistence of non-trivial solutions under specific growth or ...

Introduction to differential equations. Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order ...

This is a preview. Log in through your library . Abstract In this paper, we develop a new discontinuous Galerkin (DG) finite element method for solving time dependent partial differential equations ...

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.