In mathematics, the Wronskian of n differentiable functions is the determinant formed with the functions and their derivatives up to order n – 1. It was...
12 KB (1,480 words) - 09:47, 12 November 2024
Abel's differential equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential...
12 KB (2,749 words) - 11:48, 14 January 2025
of infinite series. The coefficients in Wroński's new series form the Wronskian, a determinant Thomas Muir named in 1882. As an inventor, he is credited...
20 KB (2,258 words) - 13:48, 22 December 2024
{W_{i}(x)}{W(x)}},\,\quad i=1,\ldots ,n} where W ( x ) {\displaystyle W(x)} is the Wronskian determinant of the basis y 1 ( x ) , … , y n ( x ) {\displaystyle y_{1}(x)...
21 KB (3,989 words) - 04:48, 6 December 2023
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
61 KB (7,944 words) - 02:38, 16 December 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
7 KB (1,153 words) - 01:07, 7 December 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
95 KB (14,207 words) - 04:36, 20 January 2025
other independent solution U of the linear ODE has constant non-zero Wronskian U ′ u − U u ′ {\displaystyle U'u-Uu'} which can be taken to be C after...
10 KB (1,598 words) - 05:59, 7 January 2025
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
19 KB (3,392 words) - 09:46, 20 January 2025
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
49 KB (6,788 words) - 05:58, 11 December 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
44 KB (5,223 words) - 20:51, 20 January 2025
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
45 KB (7,392 words) - 18:50, 18 December 2024
holomorphic functions of λ. If f and g are C2 functions on (a, b), the Wronskian W(f, g) is defined by W ( f , g ) ( x ) = f ( x ) g ′ ( x ) − f ′ ( x...
63 KB (9,374 words) - 03:48, 30 November 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
4 KB (435 words) - 14:50, 29 May 2024
Bessel's equations, which follows from Abel's identity, involves the Wronskian of the solutions: A α ( x ) d B α d x − d A α d x B α ( x ) = C α x {\displaystyle...
72 KB (11,676 words) - 21:56, 21 January 2025
In scattering theory, the Jost function is the Wronskian of the regular solution and the (irregular) Jost solution to the differential equation − ψ ″...
3 KB (707 words) - 22:37, 7 January 2025
elimination procedure to a matrix (as used in Gaussian elimination). Wronskian — the determinant of a matrix of functions and their derivatives such...
32 KB (1,336 words) - 16:53, 5 November 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
29 KB (3,632 words) - 14:12, 1 January 2025
theory of orthogonal transformation, by Cayley; continuants by Sylvester; Wronskians (so called by Muir) by Christoffel and Frobenius; compound determinants...
89 KB (13,915 words) - 13:02, 25 December 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
20 KB (5,219 words) - 07:01, 9 November 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
6 KB (993 words) - 21:30, 5 February 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
5 KB (327 words) - 23:41, 28 December 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
9 KB (1,037 words) - 12:04, 30 June 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
36 KB (5,628 words) - 19:36, 8 January 2025
Schur polynomial – a generalization Alternant matrix Lagrange polynomial Wronskian List of matrices Moore determinant over a finite field Vieta's formulas...
22 KB (4,714 words) - 11:49, 24 December 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
9 KB (1,775 words) - 12:28, 7 January 2025
Laplace transform applied to differential equations Sturm–Liouville theory Wronskian Loewy decomposition Pendulum Inverted pendulum Double pendulum Foucault...
5 KB (413 words) - 21:49, 5 November 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
22 KB (3,264 words) - 17:45, 24 October 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
21 KB (3,806 words) - 18:28, 30 November 2024
Initial conditions Boundary values Dirichlet Neumann Robin Cauchy problem Wronskian Phase portrait Lyapunov / Asymptotic / Exponential stability Rate of convergence...
28 KB (4,113 words) - 07:00, 6 January 2025