f is defined in f : R × R_n → R_n f is continuous. f satisfies |f(t, x1) − f(t, x2)| ≤ C|x1 − x2| for all x1, x2 ∈ R_n

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899604
Joined: Mon Aug 02, 2021 8:13 am

f is defined in f : R × R_n → R_n f is continuous. f satisfies |f(t, x1) − f(t, x2)| ≤ C|x1 − x2| for all x1, x2 ∈ R_n

Post by answerhappygod »

f is defined in f : R × R_n → R_n
f is continuous.
f satisfies |f(t, x1) − f(t, x2)| ≤ C|x1 −
x2| for all x1, x2 ∈ R_n and t ∈ R. (Here C is a
constant)
F Is Defined In F R R N R N F Is Continuous F Satisfies F T X1 F T X2 C X1 X2 For All X1 X2 R N 1
F Is Defined In F R R N R N F Is Continuous F Satisfies F T X1 F T X2 C X1 X2 For All X1 X2 R N 1 (2.04 KiB) Viewed 23 times
F Is Defined In F R R N R N F Is Continuous F Satisfies F T X1 F T X2 C X1 X2 For All X1 X2 R N 2
F Is Defined In F R R N R N F Is Continuous F Satisfies F T X1 F T X2 C X1 X2 For All X1 X2 R N 2 (6.41 KiB) Viewed 23 times
above function's convergence because reasonable time
T>0 exist.
F Is Defined In F R R N R N F Is Continuous F Satisfies F T X1 F T X2 C X1 X2 For All X1 X2 R N 3
F Is Defined In F R R N R N F Is Continuous F Satisfies F T X1 F T X2 C X1 X2 For All X1 X2 R N 3 (4.17 KiB) Viewed 23 times
f(0,0) = 0

Xn+1(t) $ dr, n , f(t, 2n(T))dt, n = 1, 2,..., 21(t) = 0 xi

d 2(t) = f(t, x(t)), 2(0) = 0 dt r
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Post Reply