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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

Posted: Wed May 11, 2022 10:29 pm
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 24 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 24 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 24 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