Riccati Differential Equations
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Differential Equation
|
| gptkbp:application |
gptkb:Quantum_Mechanics
gptkb:Kalman_Filter Stochastic Processes Optimal Control |
| gptkbp:field |
gptkb:Mathematics
gptkb:Physics Control System |
| gptkbp:form |
y'(x) = q0(x) + q1(x)y(x) + q2(x)y(x)^2
|
| gptkbp:hasSpecialCase |
Linear Differential Equation
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riccati Differential Equations
|
| gptkbp:namedAfter |
gptkb:Jacopo_Riccati
|
| gptkbp:order |
gptkb:First_Order
|
| gptkbp:publishedIn |
Acta Eruditorum (1715)
|
| gptkbp:relatedTo |
Bernoulli Differential Equation
Linear Quadratic Regulator |
| gptkbp:solutionExists |
If a particular solution is known, general solution can be found
|
| gptkbp:solvedBy |
Transformation to Second Order Linear ODE
|
| gptkbp:type |
Nonlinear Differential Equation
|
| gptkbp:bfsParent |
gptkb:W.T._Reid
|
| gptkbp:bfsLayer |
8
|