In mathematics, differential inclusions are a generalization of the concept of ordinary differential equation of the form d x d t ( t ) ∈ F ( t , x ( t...

Fuzzy differential inclusion is the extension of differential inclusion to fuzzy sets introduced by Lotfi A. Zadeh. x ′ ( t ) ∈ [ f ( t , x ( t ) ) ]...

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

title of the book Chance and Necessity by Jacques Monod to the differential inclusion x ′ ( t ) ∈ F ( x ( t ) ) {\displaystyle x'(t)\in F(x(t))} for chance...

if A {\displaystyle A} is a subset of B , {\displaystyle B,} then the inclusion map is the function ι {\displaystyle \iota } that sends each element x...

Fuzzy differential equation are general concept of ordinary differential equation in mathematics defined as differential inclusion for non-uniform upper...

system. Differential variational inequality Dynamical systems theory Ordinary differential equation Variational inequality Differential inclusion Complementarity...

In healthcare, a differential diagnosis (DDx) is a method of analysis that distinguishes a particular disease or condition from others that present with...

the solution of stiff differential equations Condition number Differential inclusion, an extension of the notion of differential equation that allows discontinuities...

particular, equations are generalized to inclusions, while differential equations are generalized to differential inclusions. One can distinguish multiple concepts...

Hausdorff (also known as metrically lower / upper semicontinuous maps). Differential inclusion Hausdorff distance – Distance between two metric-space subsets Semicontinuity –...

of Mathematics. Retrieved 10 May 2013. "The Euler equations as a differential inclusion". Annals of Mathematics. Retrieved 10 May 2013. "Fermat Prize 2013"...

In differential geometry, pushforward is a linear approximation of smooth maps (formulating manifold) on tangent spaces. Suppose that φ : M → N {\displaystyle...

constraints and impacts, which is a specific Measure Differential Inclusion (i.e., a differential inclusion whose solutions are measures). The Moreau-Jean scheme...

theory has applications in complementarity problems, differential equations, differential inclusions and dynamical systems. Topological fixed point theory...

Inclusion body myositis (IBM) (/maɪoʊˈsaɪtɪs/) (sometimes called sporadic inclusion body myositis, sIBM) is the most common inflammatory muscle disease...

selection theorems, and they are important in the theories of differential inclusions, optimal control, and mathematical economics. Given two sets X...

continuous or measurable selections is important in the theory of differential inclusions, optimal control, and mathematical economics. See Selection theorem...

Partial Differential Equations, Springer; 1st Edition. edition (10 November 2010), ISBN 978-0-387-70913-0, ISBN 0-387-70913-4 Differential inclusion Gagliardo–Nirenberg...

(1998). "Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions". SIAM Journal on Control and Optimization. 36 (2): 780–796. doi:10...

In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The...

equivalently be rewritten as the inclusion into a normal cone, so that the bouncing ball dynamics is a differential inclusion into a normal cone to a convex...

distinguished derivation d forms a differential algebra, and is itself a significant object of study in areas such as differential Galois theory. If A is a K-algebra...

including differential inclusions, projected dynamical systems, evolutionary inequalities, and parabolic variational inequalities. Differential variational...

of integer partitions ordered by inclusion), many of whose combinatorial properties are shared by all differential posets. In addition to Young's lattice...

discontinuous. Michael selection theorem can be applied to show that the differential inclusion d x d t ( t ) ∈ F ( t , x ( t ) ) , x ( t 0 ) = x 0 {\displaystyle...

October 2006) was a Russian mathematician who worked on differential equations, differential inclusions, diffraction theory and numerical methods. Born in...

applications are found in Systems and Control (hybrid systems, differential inclusions, optimal control with state constraints), Optimization (Complementarity...

In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. The notion was introduced...

consistent with serous fluid, are shown on MR imaging. Differential diagnoses for peritoneal inclusion cysts include mesothelial hyperplasia, non-granulomatous...