Part A Differential Equations

Home > Preview

The flashcards below were created by user Nat1234 on FreezingBlue Flashcards.


  1. what is an ODE?
    Image Upload
  2. A function f(x, y) continuous on a rectangle R satisfies a Lipschitz condition with constant
    L if
    Image Upload
  3. Theorem 1.1. (Picard’s existence theorem):
    • y' = f(x, y) with y(a) = b has a solution in the rectangle R := {(x, y) : |x − a| ≤ h, |y − b| ≤ k} provided:
    • P(i): (a) f is continuous in R, with bound M (so |f(x, y)| ≤ M) and (b) Mh ≤ k.
    • P(ii): f satisfies a Lipschitz condition in R.
    • Furthermore, this solution is unique.
  4. what is Gronwall's inequality
    Image Upload

    Image Upload
  5. what is the CMT
    Image Upload
  6. what is P(iii) (condition for a global soln.)
    Image Upload
  7. what is Picard's existence theorem
    Image Upload

Card Set Information

Author:
Nat1234
ID:
334937
Filename:
Part A Differential Equations
Updated:
2017-10-20 08:47:13
Tags:
maths
Folders:

Description:
part a differential equations
Show Answers:

Home > Flashcards > Print Preview