TREATISES on this subject have been somewhat numerous of late. We recently noticed in these columns an excellent, but fairly elementary work, “On Ordinary and Partial Differential Equations ...

Linear functional differential equations of mixed type are typically ill-posed, i.e., there exists, in general, no solution to a given initial condition. We prove that Fredholm properties of these ...

Specific topics covered are: First examples; illustrations of use of the computer package Maple. Existence and uniqueness of solutions. Autonomous 1 and 2 dimensional systems. Linear equations and ...

N. K. BASU, THE NUMERICAL SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS IN A SERIES OF DERIVATIVES OF CHEBYSHEV POLYNOMIALS, Bulletin mathématique de la Société des Sciences Mathématiques de la République ...

The method of characteristics for solving first order quasilinear equations will be discussed. The three main types of linear second order partial differential equations will be considered: parabolic ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...