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.

Abel differential equations form a notable class of non-linear ordinary differential equations characterised by their polynomial non-linearities. These equations have been instrumental in exploring ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

The study of differential equations in Banach spaces represents a fundamental intersection between functional analysis and the theory of dynamical systems. By extending classical methods beyond ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...

ABSTRACT: In this article, we discuss the structure of reflective function of the higher dimensional differential systems and apply the results to study the existence of periodic solutions of these ...

SIAM Journal on Numerical Analysis, Vol. 7, No. 1 (Mar., 1970), pp. 47-66 (20 pages) Linear one step methods of a novel design are given for the numerical solution of stiff systems of ordinary ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...