Variational analysis | Dynamical systems
In mathematics, differential inclusions are a generalization of the concept of ordinary differential equation of the form where F is a multivalued map, i.e. F(t, x) is a set rather than a single point in . Differential inclusions arise in many situations including differential variational inequalities, projected dynamical systems, Moreau's sweeping process, linear and nonlinear complementarity dynamical systems, discontinuous ordinary differential equations, switching dynamical systems, and fuzzy set arithmetic. For example, the basic rule for Coulomb friction is that the friction force has magnitude μN in the direction opposite to the direction of slip, where N is the normal force and μ is a constant (the friction coefficient). However, if the slip is zero, the friction force can be any force in the correct plane with magnitude smaller than or equal to μN. Thus, writing the friction force as a function of position and velocity leads to a set-valued function. In differential inclusion, we not only take a set valued map at the right hand side but also we can take a subset of an Euclidean space for some as following way. Let and Our main purpose is to find a function satisfying the differential inclusion a.e. in where is an open bounded set. (Wikipedia).
Introduction to Differential Inequalities
What is a differential inequality and how are they useful? Inequalities are a very practical part of mathematics: They give us an idea of the size of things -- an estimate. They can give us a location for things. It is usually far easier to satisfy assumptions involving inequalities t
From playlist Advanced Studies in Ordinary Differential Equations
B22 Introduction to Substitutions
An overview of the three type of substitutions as a new method of solving linear, exact, and "almost" separable differential equations.
From playlist Differential Equations
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
Find the particular solution with exponential and inverse trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
How to solve a differentialble equation by separating the variables
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
B23 Example problem solving for a homogeneous DE
The first substitution changes a DE in differential form that could not otherwise be solved (it is not exact, nor can it be changed into an exact equation by using an integrating factor) into a DE in which separation of variables can be applied. Make sure the DE is homogeneous, though.
From playlist Differential Equations
(1.8.2) Solve a Differential Equation Using an Integrating Factor to form an Exact Equation
This video introduces and explains how to solve a first order linear differential equation using an integrating factor to form an exact differential equation. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
How to solve differentiable equations with logarithms
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
Jonathan Belcher: Bridge cohomology-a generalization of Hochschild and cyclic cohomologies
Talk by Jonathan Belcher in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-... on August 12, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Sieve methods: what are they, and what are they good for? - James Maynard
Analysis Seminar Topic: Sieve methods: what are they, and what are they good for? Speaker: James Maynard Affiliation: Member, School of Mathematics Date: December 13, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Title: Jet Ideals and Products of Ideals in Differential Rings
From playlist Fall 2016
Manifolds - Part 17 - Example of Smooth Maps
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From playlist Manifolds
Stochastic Homogenization of High Contrast Media by Igor Velcic
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems III
Abstract: Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f=0 in a projective space \mathbb{P}^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain t
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Camillo De Lellis: The Onsager Theorem
Abstract: In the fifties John Nash astonished the geometers with his celebrated isometric embedding theorems. A folkloristic explanation of his first theorem is that you should be able to put any piece of paper in your pocket without crumpling or folding it, no matter how large it is. Ten
From playlist Mathematical Physics
February 12, Khalil Ghorbal, INRIA Characterizing Positively Invariant Sets: Inductive and Topological Methods
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
Overview of Higgs Xsec predictions in SM and MSSM by V. Ravindran
Discussion Meeting : Hunting SUSY @ HL-LHC (ONLINE) ORGANIZERS : Satyaki Bhattacharya (SINP, India), Rohini Godbole (IISc, India), Kajari Majumdar (TIFR, India), Prolay Mal (NISER-Bhubaneswar, India), Seema Sharma (IISER-Pune, India), Ritesh K. Singh (IISER-Kolkata, India) and Sanjay Kuma
From playlist HUNTING SUSY @ HL-LHC (ONLINE) 2021
Differentiating a Continued Fraction
More resources available at www.misterwootube.com
From playlist Differential Calculus (related content)
Man Cheung Tsui, University of Pennsylvania
January 29, Man Cheung Tsui, University of Pennsylvania Differential Essential Dimension Speaker appears at 1:40
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra