American University of the Middle East, Egaila, Kuwait. LOFIMS Laboratory, INSA de Rouen, Rouen, France. A difference equation or dynamical system describes the evolution of some variable over time.

In this paper we consider hyperbolic systems of linear, homogeneous, first order partial differential equations with variable coefficients. We will say that the Cauchy initial value problem for such a ...

Abstract: This note studies the stability problem of nonlinear positive differential-difference equations with unbounded time-varying delays. Under assumptions on the nonlinear vector fields, such as ...

This repo contains a Jupyter notebook based introduction to ordinary differential equations including first and second order differential equations, Laplace transforms, and systems of equations ...

1 Departamento de Estadística, Análisis Matemático y Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, Spain 2 Instituto de Matemáticas, Universidade de Santiago de ...

Abstract: The central object of interest of this paper are systems of linear constant coefficient ordinary differential equations of arbitrary order of the form s(d/dt)w = M(d/dt)f with G and M given, ...

Department of Mathematics, AlQuds Open University, Ramallah, Palestine. In 1940 Ulam posed the basic problem of the stability of functional equations: Give conditions in order for a linear mapping ...