In Kronecker products works, matrices are sometimes regarded as vectors and vectors are sometimes made in to matrices. To be precise about these reshaping we use the vector and diagonal extraction ...

Abstract: This article studies the positivity and stability of homogeneous coupled differential-difference equations with time-varying delays. First, a sufficient positivity condition is proposed for ...

A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying glass. An illustration of a magnifying glass.

Institute of Applied Mathematics, Xihua University, Chengdu, China. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, China. Due to the ...

Many differential equations can be simplified using Euler's Formula (Also called Euler's Identity). This formula can be derived from Taylor series approximations of ...

This Python program offers a comprehensive exploration of a homogeneous nonlinear differential equation, providing insights into its dynamics, stability, and sensitivity to initial conditions. By ...