Search for "Differential Equations" in article titles:
Differential Equations: A differential equation is an equation where a given function and an order of its derivative are in some way added or multiplied together in the same equation. The following categories should help in learning more about different types of ... [100%] 2024-01-26 [Differential equations]
Differential Equations: A differential equation is an equation where a given function and an order of its derivative are in some way added or multiplied together in the same equation. The following categories should help in learning more about different types of ... [100%] 2023-12-29 [Differential equations]
Ordinary Differential Equations: Educational level: this is a tertiary (university) resource. Subject classification: this is a mathematics resource. Completion status: this resource is just getting off the ground. [81%] 2024-02-23 [Ordinary differential equations]
Journal of Hyperbolic Differential Equations: The Journal of Hyperbolic Differential Equations was founded in 2004 and carries papers pertaining to nonlinear hyperbolic problems and related mathematical topics, specifically on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising ... [63%] 2022-09-23 [Mathematics journals]
Differential equations: Differential equations serve as mathematical models of physical processes. This course is intended to be an introduction to ordinary differential equations and their solutions. [100%] 2024-01-07 [Differential equations] [Mathematics courses]...
Differential equations: Differential equations serve as mathematical models of physical processes. This course is intended to be an introduction to ordinary differential equations and their solutions. [100%] 2024-01-26 [Differential equations] [Mathematics courses]...
Differential-algebraic equations: A differential-algebraic equation (DAE) is an equation involving an unknown function and its derivatives. A (first order) DAE in its most general form is given by \[\tag{1} F(t,x,x')=0,\quad t_0\leq t\leq t_f ... [81%] 2021-12-24 [Dynamical Systems] [Numerical Analysis]...
Delay-differential equations: Delay differential equations differ from ordinary differential equations in that the derivative at any time depends on the solution (and in the case of neutral equations on the derivative) at prior times. The simplest constant delay equations have the form ... [81%] 2021-12-24 [Dynamical Systems] [Numerical Analysis]...
Differential equations, ordinary, retarded: An ordinary differential equation with deviating arguments (cf. Differential equations, ordinary, with distributed arguments) of delayed type, i.e. (Mathematics) [70%] 2023-10-25
Delay partial differential equations: A delay partial differential equation (DPDE) is an equation which involves Therefore, a delay partial differential equation differs from a partial differential equation in that it depends not only on the solution at a present stage but also on the ... [70%] 2021-12-24 [Dynamical Systems] [Numerical Analysis]...
Differential equations of addition: In cryptography, differential equations of addition (DEA) are one of the most basic equations related to differential cryptanalysis that mix additions over two different groups (e.g. addition modulo 2 and addition over GF(2)) and where input and output ... [70%] 2024-03-03 [Cryptographic attacks] [Theory of cryptography]...
Numerical partial differential equations: Numerical partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). In this method, functions are represented by their values at certain grid points and derivatives are approximated through differences in ... [70%] 2023-12-30 [Numerical differential equations] [Partial differential equations]...
Differential equations on a torus: flows on a torus A class of dynamical systems (cf. Dynamical system). (Mathematics) [63%] 2023-09-15
Differential equations with small parameter: A system of the type $$ \tag{1 } \mu \frac{dz}{dt} = F ( z , y , t ) ,\ \frac{dy}{dt} = f ( z , y , t), $$ where $ z $ and $ y $ are, respectively, $ M $- and $ m $- dimensional vectors, and $ \mu > 0 $ is a small parameter ... (Mathematics) [63%] 2023-10-02
Analysis of partial differential equations: The mathematical analysis of partial differential equations uses analytical techniques to study partial differential equations. The subject has connections to and motivations from physics and differential geometry, the latter through the branches of global and geometric analysis. [63%] 2023-11-30 [Partial differential equations]
Analytic theory of differential equations: $\def\eqref#1{(#1)}$ The branch of the theory of ordinary differential equations in which the solutions are studied from the point of view of the theory of analytic functions. A typical formulation of a problem in the analytic theory ... (Mathematics) [63%] 2023-09-19
Control of partial differential equations: A control system is a dynamical system on which one can act by using suitable controls. In this article, the dynamical model is modeled by partial differential equations of the following type \[\tag{1} \dot y=f(y,u). [63%] 2021-12-21 [Control Theory]
Differential-algebraic system of equations: In electrical engineering, a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system. In mathematics these are examples of differential algebraic varieties and ... [63%] 2023-12-30 [Differential equations] [Numerical analysis]...
Group analysis of differential equations: Group analysis of differential equations is a branch of mathematics that studies the symmetry properties of differential equations with respect to various transformations of independent and dependent variables. It includes methods and applied aspects of differential geometry, Lie groups and ... [63%] 2024-01-20 [Group theory] [Differential geometry]...
Ordinary differential equations, property C for: Let \begin{equation*} \ell _ { m } u = \left( - \frac { d ^ { 2 } } { d x ^ { 2 } } + q _ { m } ( x ) \right) u, \end{equation*} \begin{equation*} m = 1,2 , x \in \mathbf{R} _ { + } : = [ 0 , \infty ), \end{equation*} and let $q _ ... (Mathematics) [57%] 2023-08-29
Boundary value problem, ordinary differential equations: The problem of finding a solution to an equation $$ \tag{1 } \frac{dx }{dt } = \ f (t, x),\ \ t \in J,\ \ x \in \mathbf R ^ {n} , $$ lying in a given subset $ D $ of the space $ D (J, \mathbf R ^ {n} ) $ of ... (Mathematics) [57%] 2023-10-19
Boundary value problem, partial differential equations: The problem of determining in some region $ D $ with points $ x = (x _ {1} \dots x _ {n} ) $ a solution $ u (x) $ to an equation $$ \tag{1 } (Lu) (x) = f (x),\ \ x \in D, $$ which satisfies certain boundary conditions on ... (Mathematics) [57%] 2023-09-24
Power series solution of differential equations: In mathematics, the power series method is used to seek a power series solution to certain differential equations. In general, such a solution assumes a power series with unknown coefficients, then substitutes that solution into the differential equation to find ... (Method for solving differential equations) [57%] 2023-08-07 [Ordinary differential equations]