Results 1 to 2 of 2

Math Help - Lipschitz condition

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    3

    Lipschitz condition

    For Lipschitz condition:
    for constant k on [a,b] if there is a constant k such that for all x,y in [a,b]
    |Tx -Ty| less than or equal to k|x-y|

    I have to show if:
    f(t,x)=|x|^(1/2)
    satisfies the condition

    I think it would but i am having trouble proving this. Is there a way to find a minimum value k such that all Tx-Ty satisfy this condition?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Mar 2011
    Posts
    3
    nevermind i think i figured it out. When x and y are close to 0 then then it would be impossible to fix a k.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Lipschitz condition
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: May 17th 2010, 11:41 PM
  2. Generalized Lipschitz Condition
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: January 28th 2010, 12:21 PM
  3. Lipschitz Condition-ODE
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: December 28th 2009, 01:29 AM
  4. Lipschitz condition
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: October 19th 2009, 10:14 PM
  5. Uniqueness / Lipschitz condition
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: October 6th 2009, 10:59 PM

Search Tags


/mathhelpforum @mathhelpforum