Search for "Ordinary differential equations" in article titles:

1. 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. [100%] 2024-02-23 [Ordinary differential equations]
2. Differential equations, ordinary, retarded: An ordinary differential equation with deviating arguments (cf. Differential equations, ordinary, with distributed arguments) of delayed type, i.e. (Mathematics) [86%] 2023-10-25
3. 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) [70%] 2023-08-29
4. 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) [70%] 2023-10-19
5. Spectral theory of ordinary differential equations: In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation, Hermann Weyl generalized the classical ... (Part of spectral theory) [70%] 2023-10-25 [Ordinary differential equations] [Operator theory]...
6. Numerical methods for ordinary differential equations: Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. (Methods used to find numerical solutions of ordinary differential equations) [70%] 2023-12-29 [Numerical differential equations] [Ordinary differential equations]...
7. Spectral theory of ordinary differential equations: In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation, Hermann Weyl generalized the classical ... (Part of spectral theory) [70%] 2023-12-31 [Ordinary differential equations] [Operator theory]...
8. Differential equations, ordinary, with distributed arguments: ordinary differential equations with deviated arguments, ordinary differential equations with deviating arguments Ordinary differential equations connecting the argument, the unknown function and its derivatives generally taken for different values of the argument. Examples are: where the constants , and are given ... (Mathematics) [70%] 2023-10-28
9. Numerical methods for ordinary differential equations: Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. (Methods used to find numerical solutions of ordinary differential equations) [70%] 2023-12-29 [Numerical differential equations] [Ordinary differential equations]...
10. List of linear ordinary differential equations: This is a list of named linear ordinary differential equations. (none) [70%] 2024-08-18 [Ordinary differential equations]
11. Cauchy problem, numerical methods for ordinary differential equations: A Cauchy problem is a problem of determining a function (or several functions) satisfying a differential equation (or system of differential equations) and assuming given values at some fixed point. Let $$ y (x) = \ \{ y _ {1} (x) \dots y _ ... (Mathematics) [61%] 2023-10-13
12. Sector in the theory of ordinary differential equations: An open curvilinear sector $ S $ with vertex at an isolated singular point $ O $ of an autonomous system of second-order ordinary differential equations $$ \tag{* } \dot{x} = f ( x),\ \ x \in \mathbf R ^ {2} , $$ $ f \in C ( G) $, where $ G $ is ... (Mathematics) [61%] 2023-10-07
13. Differential equations, ordinary, approximate methods of solution of: Methods for obtaining analytical expressions (formulas) or numerical values which approximate to some degree of accuracy the required particular solution of a differential equation or of a system of equations for one or more values of the argument. The importance ... (Mathematics) [61%] 2023-10-13
14. Equivalence problem for systems of second-order ordinary differential equations: Let $( x ^ { 1 } , \ldots , x ^ { n } ) = ( x )$, $( d x ^ { 1 } / d t , \ldots , d x ^ { n } / d t ) = ( d x / d t ) = ( \dot { x } )$, and $t$ be $2 n + 1$ coordinates in an open connected subset $\Omega$ of the Euclidean ... (Mathematics) [54%] 2023-09-10