Ordinary differential equations Basic notions Concept
Ordinary differential equation
Summary
An ordinary differential equation is a differential equation for an unknown function of one variable. It relates the function, its derivatives and the variable. See the definition.
Where this leads
41 pages build on this one.
- Differential inclusion
- Boundary value problem
- Dynamic equation on time scales
- Method of multiple scales
- Integro-differential equation
- n-body problem
- Riemann's differential equation
- Dixon elliptic functions
- KdV equation as an integrable system
- Sturm–Liouville theory
- Poincaré–Lindstedt method
- Admissible control
- Tikhonov's theorem on slow-fast systems
- Legendre functions
- Malmquist's theorem
- Random ordinary differential equation
- Fenichel's theorem
- Differential equations in Banach spaces
- WKB approximation
- Optimal control
- Numerical methods for ordinary differential equations
- Goddard problem
- Painlevé transcendents
- Painlevé property
- Hybrid system
- Three-body problem
- Jacobi equation
- Limit-point and limit-circle
- Zermelo's navigation problem
- Krylov–Bogolyubov averaging
- Bifurcation theory
- Fractional differential equation
- Control system
- Delay differential equation
- Method of characteristics
- Schrödinger operator
- Hypergeometric differential equation
- Functional differential equation
- Singular perturbation
- Input-to-state stability
- Lane–Emden equation
Further reading
About this page
| Tag | 0NT64JV96A |
|---|---|
| URI | m2://0NT64JV96A |
| Kind | concept |
| Writing | W1 stated |
| MSC | 34A99 |
| Specializes | Differential equation |
| Same as |
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What this page needs for W2
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
- Autonomous system
- Separable equation
- Exact equation
- Linear differential equation of order n
- Homogeneous first-order equation
- Bernoulli equation
- Riccati equation
- Stiff equation
Definitions
Used by
- Differential inclusion
- Boundary value problem
- Dynamic equation on time scales
- Method of multiple scales
- Integro-differential equation
- n-body problem
- Riemann's differential equation
- Dixon elliptic functions
- Sturm–Liouville theory
- Poincaré–Lindstedt method
- Tikhonov's theorem on slow-fast systems
- Legendre functions
- Malmquist's theorem
- Random ordinary differential equation
- Fenichel's theorem
- Differential equations in Banach spaces
- WKB approximation
- Numerical methods for ordinary differential equations
- Goddard problem
- Painlevé transcendents
- Painlevé property
- Hybrid system
- Three-body problem
- Jacobi equation
- Limit-point and limit-circle
- Zermelo's navigation problem
- Krylov–Bogolyubov averaging
- Bifurcation theory
- Fractional differential equation
- Control system
- Delay differential equation
- Method of characteristics
- Schrödinger operator
- Hypergeometric differential equation
- Functional differential equation
- Singular perturbation
- Input-to-state stability
- Lane–Emden equation