the Picard–Lindelöf theorem gives a set of conditions under which an initial value problem has a unique solution. It is also known as Picard's existence...
19 KB (3,392 words) - 12:13, 15 October 2024
topology. Lindelöf spaces are named after him. He was the son of mathematician Lorenz Leonard Lindelöf and brother of the philologist Uno Lorenz Lindelöf [fi]...
4 KB (332 words) - 03:21, 1 September 2024
The Peano theorem can be compared with another existence result in the same context, the Picard–Lindelöf theorem. The Picard–Lindelöf theorem both assumes...
9 KB (1,775 words) - 15:35, 2 September 2024
Holmgren's uniqueness theorem for linear partial differential equations with real analytic coefficients. Picard–Lindelöf theorem, the uniqueness of solutions...
3 KB (332 words) - 14:36, 21 November 2023
Picard's little theorem states that every nonconstant entire function takes every value in the complex plane, with perhaps one exception. Picard's great...
10 KB (732 words) - 09:09, 13 September 2024
be applied to systems of equations. When the hypotheses of the Picard–Lindelöf theorem are satisfied, then local existence and uniqueness can be extended...
44 KB (5,222 words) - 16:18, 1 November 2024
p_{2})>qd(p_{1},p_{2}).} A standard application is the proof of the Picard–Lindelöf theorem about the existence and uniqueness of solutions to certain ordinary...
16 KB (2,668 words) - 07:21, 16 September 2024
Lindelöf is a surname of Swedish origin which may refer to: Bernt Lindelöf, Swedish sprint canoeist who competed in the 1968 Summer Olympics Damon Lindelof...
1 KB (124 words) - 14:59, 21 July 2019
equations Numerical methods for partial differential equations Picard–Lindelöf theorem on existence and uniqueness of solutions Recurrence relation, also...
29 KB (3,628 words) - 15:16, 20 August 2024
equations, Lipschitz continuity is the central condition of the Picard–Lindelöf theorem which guarantees the existence and uniqueness of the solution to...
18 KB (2,629 words) - 05:53, 7 October 2024