Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

This book deals with the boundary value problems for non-regular partial differential equations in the half-plane. Efficient methods are developed for resolution of boundary value problems for ...

Abstract: Averaging is widely used for approximating the dynamics of switched systems. The validity of an averaged model typically depends on the switching frequency and on some technicalities ...

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.

Several fundamental results on the existence and behavior of solutions to semilinear functional differential equations are developed in a Banach space setting. The ideas are applied to ...

We also prove that the two sets of Maxwell equations only depend on the non-linear elations of the conformal group of ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

This repository contains the PyTorch implementation for the paper Stable Neural Stochastic Differential Equations in Analyzing Irregular Time Series Data. Spotlight presentation (Notable Top 5%). Oh, ...

This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein–Gordon equations, KdV equations as well as Navier ...

The Graduate School offers the administrative structure, leadership, and guidance necessary to support graduate education at Louisiana Tech University. Graduate School is the initial and final stop in ...