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...al geometry|discrete dynamical systems|Exponential map (discrete dynamical systems)}} In [[differential geometry]], the '''exponential map''' is a generalization of the ordinary [ ...

...concept of [[ordinary differential equation]] in mathematics defined as [[differential inclusion]] for non-uniform upper [[hemicontinuity]] [[convex set]] with [[ == First order fuzzy differential equation == ...

...ed mathematics, the '''reflecting function''' <math>\,F(t,x)</math> of a [[differential system]] <math>\dot x=X(t,x)</math> connects the past state <math>\,x(-t)< For the [[differential system]] <math>\dot x=X(t,x)</math> with the [[general solution]] <math>\va ...

...dV) equation''' is an [[Integrable system|integrable]] nonlinear [[partial differential equation]]:{{sfn | Polyanin | Zaitsev | 2003}} ...last2=Schiesser | first2=W. E. | title=Traveling Wave Analysis of Partial Differential Equations | publisher=Academic Press | publication-place=Amsterdam; Boston ...

...dynamical systems''' is a result on stability of solutions of systems of [[differential equation]]s. It has applications to [[chemical kinetics]].<ref>{{cite jour Consider this system of differential equations: ...

...e-hui |last4=Huang |first4=Nan-jing |date=2015 |title=On a System of Fuzzy Differential Inclusions |url=https://www.jstor.org/stable/24898205 |journal=Filomat |vol == Second order differential == ...

{{short description|Group of differential equations}} ...ast=van Kampen |first=E. R. |date=1941 |title=Notes on Systems of Ordinary Differential Equations |url=https://www.jstor.org/stable/2371531 |journal=American Journ ...

...th> for all <math>t > 0</math>.<ref>Meiss, J. D., ''Differential dynamical systems'', Philadelphia: Society for Industrial and Applied Mathematics, 2007.</ref {{Systems}} ...

...title = Naive control of the double integrator | journal = IEEE Control Systems Magazine | year = 2001 | url = http://www-personal.umich.edu/~dsbaero/othe == Differential equations == ...

The '''Gardner equation''' is an [[integrable]] [[nonlinear partial differential equation]] introduced by the mathematician [[Clifford Gardner]] in 1968 to ...| last2=Lizárraga-Celaya | first2=Carlos | title=Solving Nonlinear Partial Differential Equations with Maple and Mathematica | publisher=Springer Science & Busines ...

...ons''' are an [[integrable system]] of two coupled [[nonlinear]] [[partial differential equation]]s proposed by [[Vladimir Drinfeld]] and Vladimir Sokolov, and ind [[Category:Nonlinear partial differential equations]] ...

...Czesław |last2=Olech |title=On Global Asymptotic Stability of Solutions of Differential Equations |journal=[[Transactions of the American Mathematical Society]] |v The differential equations <math>\mathbf{\dot{x}} = f ( \mathbf{x} )</math>, <math>\mathbf{x ...

...tial algebraic equation (PDAE)''' set is an incomplete system of [[partial differential equation]]s that is closed with a set of [[algebraic equation]]s. ...e relationship between an [[ordinary differential equation]] (ODE) and a [[differential algebraic equation]] (DAE). ...

...//cmde.tabrizu.ac.ir/article_16069.html |journal=Computational Methods for Differential Equations |volume=11 |issue=4 |pages=803–810}}</ref> [[Category:Nonlinear partial differential equations]] ...

...o \mathbb R</math>. A dynamic equation on <math>Q\to \mathbb R</math> is a differential equation which is algebraically solved for a higher-order derivatives. ...a fiber bundle <math>Q\to \mathbb R</math> is a kernel of the [[covariant differential]] of some connection <math>\Gamma</math> on <math>Q\to \mathbb R</math>. Gi ...

...inequality (mathematics)|inequality]] on the [[absolute dimension]] of a [[differential algebraic variety]] in terms of its defining equations. The inequality is the differential algebraic analog of [[Bézout's theorem]] in affine space. ...

In [[differential topology]], an area of mathematics, a '''neat submanifold''' of a [[manifol ...s the following two conditions:<ref>{{citation|title=Lectures on Dynamical Systems, Structural Stability, and Their Applications|first=Kotik K.|last=Lee|publi ...

...e coefficients and their [[derivative]]s. Consider a bivariate hyperbolic differential operator of the second order ''non-factorizable'' bivariate linear partial differential equations (LPDEs). ...

In [[dynamical systems]], a branch of [[mathematics]], an '''invariant manifold''' is a [[topologi In dissipative systems, an invariant manifold based upon the gravest, longest lasting modes forms ...

...ibrary.caltech.edu/28012/1/960006.pdf Configuration flatness of Lagrangian systems underactuated by one control]” SIAM Journal on Control and Optimization, 36 By differential flatness, there exists functions <math> a </math> and <math> b </math> suc ...