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 ...

Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). Except for very simple cases where analytical solutions exist, the use of numerical methods is required ...

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' + ...

Abstract: This contribution introduces linear differential–algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for DAEs with indexes 1 or 2.

Dimsym is a program primarily for the determination of symmetries of differential equations. It also can be used to compute symmetries of distributions of vector fields or differential forms on finite ...

We consider the second order linear differential equation $y = \left[ {\frac{{{ \wedge ^2}}}{{{t^\alpha }}}+ g\left( t \right)} \right]y,$ where Λ is a large complex ...

Abstract: In this paper, the problem of exponential stability of the zero state equilibrium of a linear differential equation defined by an operator-valued function with positive evolution on an ...