A singularly perturbed linear partial differential equation motivated by the geometrical model for crystal growth is considered. A steepest descent analysis of the Fourier transform solution ...

This paper is concerned with the relationship between the concepts of oscillation, nonoscillation and disconjugacy of the general third order linear differential equation y''' + p(x)y" + q(x)y' + ...

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve. Unless you’re a physicist or an engineer, there really isn’t ...

Read article at Massey Research Online: In deformations of material objects, physical laws give the final state minimising an energy functional and solving a typically non-linear partial differential ...