Differential-algebraic equations (DAEs) serve as a critical framework in mathematical modelling by integrating both differential and algebraic components to represent systems with inherent constraints ...

Algebraic dynamics and differential equations form a vibrant interdisciplinary field where the intrinsic algebraic structures of dynamical systems are explored through the lens of differential ...

A pioneering study presents a multiscale differential-algebraic neural network (MDANN) that advances the field of dynamical system learning. This innovative method adeptly forecasts system behaviors ...

Transactions of the American Mathematical Society, Vol. 365, No. 9 (SEPTEMBER 2013), pp. 4575-4632 (58 pages) In this paper, an intersection theory for generic differential polynomials is presented.

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...