• the PicardLindelöf 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
  • Thumbnail for Ernst Leonard Lindelöf
    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 PicardLindelöf theorem. The PicardLindelöf 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. PicardLindelöf 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
  • Thumbnail for Ordinary differential equation
    be applied to systems of equations. When the hypotheses of the PicardLindelöf 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 PicardLindelöf 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 PicardLindelöf theorem on existence and uniqueness of solutions Recurrence relation, also...
    29 KB (3,628 words) - 15:16, 20 August 2024
  • Thumbnail for Lipschitz continuity
    equations, Lipschitz continuity is the central condition of the PicardLindelöf theorem which guarantees the existence and uniqueness of the solution to...
    18 KB (2,629 words) - 05:53, 7 October 2024