a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity...

problem for partial differential equations and coined the name "variational inequality" for all the problems involving inequalities of this kind. Georges...

^ . {\displaystyle y={\hat {y}}.} First variation Isoperimetric inequality Variational principle Variational bicomplex Fermat's principle Principle of...

{\displaystyle \mathbb {R} ^{d}} . Differential inclusions arise in many situations including differential variational inequalities, projected dynamical systems...

the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to...

through an interpolation inequality. The theorem is of particular importance in the framework of elliptic partial differential equations and was originally...

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

many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with...

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

The proof that continuous finite variation processes have zero quadratic variation follows from the following inequality. Here, P {\displaystyle P} is a...

mathematics, variation of parameters, also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential equations...

Social inequality occurs when resources within a society are distributed unevenly, often as a result of inequitable allocation practices that create distinct...

degenerate problems (blow-up boundary, singular reactions), inequality problems (variational, hemivariational, both either stationary or evolutionary)....

theorem.[BNS72] Their work has applications to the subject of variational inequalities. By adapting the Dirichlet energy, it is standard to recognize...

his work on the theory of variational inequalities, the calculus of variation and the theory of elliptic partial differential equations. Stampacchia was...

problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium...

For other inequalities named after Wirtinger, see Wirtinger's inequality. In the mathematical field of analysis, the Wirtinger inequality is an important...

"The inverse mean curvature flow and the Riemannian Penrose inequality". Journal of Differential Geometry. 59 (3): 353–437. doi:10.4310/jdg/1090349447....

Economic inequality is an umbrella term for three concepts: income inequality, how the total sum of money paid to people is distributed among them; wealth...

these problems. For variational problems with prescribed mass, several methods commonly used to deal with unconstrained variational problems are no longer...

of problems of variational calculus with integral constraints. These works devoted to differential calculus and calculus of variations may be considered...

Income inequality has fluctuated considerably in the United States since measurements began around 1915, moving in an arc between peaks in the 1920s and...

operators, quasiconvex optimization, and variational analysis, with applications in variational inequality problems and game theory. In 2003, García...

Differential entropy (also referred to as continuous entropy) is a concept in information theory that began as an attempt by Claude Shannon to extend the...

solution of the heat equation. These inequalities, known as differential Harnack inequalities or Li–Yau inequalities, are useful since they can be integrated...

analysis, Croke's proof is based on an inequality of Santaló in integral geometry, while Kleiner adopts a variational approach which reduces the problem to...

18th century, into analysis topics such as the calculus of variations, ordinary and partial differential equations, Fourier analysis, and generating functions...

Young differential equations and makes heavy use of the concept of p-variation. p-variation should be contrasted with the quadratic variation which is...

theorem, a theorem about curvature in differential geometry for 2d surfaces Chern–Gauss–Bonnet theorem in differential geometry, Shiing-Shen Chern's generalization...

the Signorini problem coincides with the birth of the field of variational inequalities. The content of this section and the following subsections follows...