The main aim of this paper is to develop some basic theories of neutral stochastic functional differential equations (NSFDEs). Firstly, we establish a local existenceuniqueness theorem under the local ...

THIS book is the outgrowth of a lengthy experience in training first-year electrical engineering students at the Massachusetts Institute of Technology. The earlier chapters discuss complex numbers, ...

This is a preview. Log in through your library . Abstract We prove the existence and uniqueness of solutions of a class of second order differential equations with piecewise constant mixed arguments ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...