an abstract differential equation is a differential equation in which the unknown function and its derivatives take values in some generic abstract space...

dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Deterministic...

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...

for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). In...

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

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and...

. Differential equations are subdivided into ordinary differential equations for functions of a single variable and partial differential equations for...

\end{aligned}}} The ordered exponential is the solution to the integral equation: OE ⁡ [ a ] ( t ) = 1 + ∫ 0 t a ( t ′ ) OE ⁡ [ a ] ( t ′ ) d t ′ . {\displaystyle...

mathematics. Fractional differential equations, also known as extraordinary differential equations, are a generalization of differential equations through the application...

mathematics, differential algebra is, broadly speaking, the area of mathematics consisting in the study of differential equations and differential operators...

mathematics and physics, the heat equation is a parabolic partial differential equation. The theory of the heat equation was first developed by Joseph Fourier...

ordinary differential equations, strongly continuous semigroups provide solutions of linear constant coefficient ordinary differential equations in Banach...

second-order in space and time and manifestly Lorentz-covariant. It is a differential equation version of the relativistic energy–momentum relation E 2 = ( p c...

A difference equation is a functional equation that involves the finite difference operator in the same way as a differential equation involves derivatives...

find the maxima and minima of a function. Equations involving derivatives are called differential equations and are fundamental in describing natural...

equation (usually abbreviated as LLG equation), named for Lev Landau, Evgeny Lifshitz, and T. L. Gilbert, is a name used for a differential equation describing...

In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum...

stochastic differential equation method is a numerical method that combines deep learning with Backward stochastic differential equation (BSDE). This...

In solving mathematical equations, particularly linear simultaneous equations, differential equations and integral equations, the terminology homogeneous...

constraints called the Gauss–Codazzi equations. A major theorem, often called the fundamental theorem of the differential geometry of surfaces, asserts that...

In physics, a Langevin equation (named after Paul Langevin) is a stochastic differential equation describing how a system evolves when subjected to a combination...

In physics, the acoustic wave equation is a second-order partial differential equation that governs the propagation of acoustic waves through a material...

curve that represents a specific solution to an ordinary differential equation or system of equations. Integral curves are known by various other names, depending...

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

introduced the theory of Lie groups, aiming for "the Galois theory of differential equations". In 1876 Poincaré and Klein introduced the group of Möbius transformations...

Lectures on Ordinary Differential Equations. 1969. Methods in Classical and Functional Analysis. 1972. Ordinary Differential Equations in the Complex Domain...

N-particle system in 3 dimensions, there are 3N second-order ordinary differential equations in the positions of the particles to solve for. Instead of forces...

its charge conjugate. As a 2×2 differential equation acting on a complex two-component spinor, resembling the Weyl equation with a properly Lorentz covariant...

between the two subjects). Differential geometry is also related to the geometric aspects of the theory of differential equations, otherwise known as geometric...

optics. They are a set of completely integrable nonlinear partial differential equations. Because they provide the simplest, most direct example of a resonant...