a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or...

In mathematics, an algebraic differential equation is a differential equation that can be expressed by means of differential algebra. There are several...

paper Manifolds Of Functions Defined By Systems Of Algebraic Differential Equations and 2 books, Differential Equations From The Algebraic Standpoint and...

Ordinary Differential Equations and Differential-Algebraic Equations, SIAM, ISBN 978-1-61197-139-2 Coddington, Earl A.; Levinson, Norman (1955). Theory of Ordinary...

numerical integration of ordinary differential equations (ODEs) and differential algebraic equations (DAEs), to be used. A large number of integration routines...

pseudo-differential equations use pseudo-differential operators instead of differential operators. A differential algebraic equation (DAE) is a differential...

two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true...

equations, System of bilinear equations, System of polynomial equations, System of differential equations, or a System of difference equations Simultaneous...

simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree...

partial derivatives. A linear differential equation or a system of linear equations such that the associated homogeneous equations have constant coefficients...

differential algebraic equation (PDAE) set is an incomplete system of partial differential equations that is closed with a set of algebraic equations...

for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their...

optimization solution of linear and some non-linear equations over various domains solution of some differential and difference equations taking some limits...

smoothness of solutions to the Navier–Stokes equations, named as one of the Millennium Prize Problems in 2000. Partial differential equations are ubiquitous...

Stochastic differential equations can also be extended to differential manifolds. Stochastic differential equations originated in the theory of Brownian...

these equations because of their relation to the Riccati differential equation. Indeed, the CARE is verified by the time invariant solutions of the associated...

certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure...

In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time...

operations Differential algebra – Algebraic study of differential equations Differential Galois theory – Study of Galois symmetry groups of differential fields...

ordinary differential equations or partial differential equations. A simulation run solves the state-equation system to find the behavior of the state...

differential equations that have been named, sorted by area of interest. List of linear ordinary differential equations List of nonlinear partial differential equations...

Algebraic analysis is an area of mathematics that deals with systems of linear partial differential equations by using sheaf theory and complex analysis...

mathematics, differential Galois theory is the field that studies extensions of differential fields. Whereas algebraic Galois theory studies extensions of algebraic...

neurons can be described by a system of integro-differential equations, see for example the Wilson-Cowan model. The Whitham equation is used to model nonlinear...

of algebraic structures. Within certain algebraic structures, it examines the use of variables in equations and how to manipulate these equations. Algebra...

invariants, having a basis in algebraic geometry (a property known sometimes as algebraic integrability) the explicit determination of solutions in an explicit...

integration of ordinary differential equations (ODEs) and differential-algebraic systems of equations (DAEs). Many integration routines have been developed...

mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on...

of variables (also known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which algebra allows...

case of linear differential equations, this means that there are no constant terms. The solutions of any linear ordinary differential equation of any order...