gives integrability conditions for an almost-complex structure. Bryant, Chern, Gardner, Goldschmidt, Griffiths, Exterior Differential Systems, Mathematical...

integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system...

of vector fields, the theorem gives necessary and sufficient integrability conditions for the existence of a foliation by maximal integral manifolds whose...

terms of differential forms (i.e., for a form to be exact, it needs to be closed). See integrability conditions for differential systems for more. Integral...

differential equation or a system of differential equations: Integrability conditions for differential systems Integrable system Order of integration...

integrability conditions for differential systems, in the case of analytic functions, for differential ideals I {\displaystyle I} . It is named for Élie...

them. Systems can be defined as nonlinear, regardless of whether known linear functions appear in the equations. In particular, a differential equation...

theorem (differential topology) Distribution (differential geometry) integral curve foliation integrability conditions for differential systems Fiber bundle...

Bäcklund) relate partial differential equations and their solutions. They are an important tool in soliton theory and integrable systems. A Bäcklund transform...

In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives...

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other...

mathematics, an integrating factor is a function that is chosen to facilitate the solving of a given equation involving differentials. It is commonly...

Biographies portal Mathematics portal Exterior derivative Integrability conditions for differential systems Isotropic line CAT(k) space Einstein – Cartan theory...

mathematics, specifically the study of differential equations, the Picard–Lindelöf theorem gives a set of conditions under which an initial value problem...

coupling and electronically controlled centre differentials that are used in other four-wheel drive systems are reactive, since they only redirect torque...

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

In mathematics, a linear differential equation is a differential equation that is linear in the unknown function and its derivatives, so it can be written...

known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an...

of dynamical systems analyzes the qualitative aspects of solutions, such as their average behavior over a long time interval. Differential equations came...

A digital differential analyzer (DDA), also sometimes called a digital integrating computer, is a digital implementation of a differential analyzer. The...

function. The "integrability" in the name comes from the fact that demand functions can be shown to satisfy a system of partial differential equations in...

nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different physical systems, ranging from...

the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution...

A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written...

A limited-slip differential (LSD) is a type of differential gear train that allows its two output shafts to rotate at different speeds but limits the maximum...

are an important ingredient in the modern mathematical theory of integrable systems, and have numerous applications in a variety of other domains. They...

{\textstyle u(x,0)} .: 72  The differential equation's solution meets the integrability and Fadeev conditions:: 40  Integrability condition: ∫ − ∞ ∞   | u (...

Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations...

called time-delay systems, systems with aftereffect or dead-time, hereditary systems, equations with deviating argument, or differential-difference equations...

non-integrability'. Equivalently, such a distribution may be given (at least locally) as the kernel of a differential one-form, and the non-integrability...