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
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)
above function's convergence because reasonable time
T>0 exist.
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
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)
above function's convergence because reasonable time
T>0 exist.
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