Does convergence imply asymptotic relation

  • Thread starter chwala
  • Start date
  • #1
chwala
Gold Member
618
42

Main Question or Discussion Point

hello,
does convergence imply asymptotic relation of an ordinary differential equation?
 

Answers and Replies

  • #2
1,033
1


sounds right.
 
  • #3
chwala
Gold Member
618
42


kindly expound .......are there cases where a convergent solution might not be asymptotic?
regards
 
  • #4
1,033
1


well are you talking about the convergence of f(x) as x goes from 0 to infinity?

If it converges, that means that there is a value that f(x) cannot exceed. That sounds like an asymptote to me.

I am by no means an expert in this kind of thing, your statement just seemed right to me.

someone else may be able to help you more thoroughly.
 
  • #5
chwala
Gold Member
618
42


well are you talking about the convergence of f(x) as x goes from 0 to infinity?

If it converges, that means that there is a value that f(x) cannot exceed. That sounds like an asymptote to me.

I am by no means an expert in this kind of thing, your statement just seemed right to me.

someone else may be able to help you more thoroughly.
Hi,
well let me put the question a bit clear...my concern area is on ode and pde...my question is when you solve a pde/ode analytically and get a solution by asymptotic means does this imply that if solution exists then if using convergence of the pde/ode as an alternative method for solving the same....read adomian decomposition...does it mean convergence amounts to asymptotic and vice versa?
regards,
chwala-MSC APPLIED MATHEMATICS FINALIST,NAIROBI KENYA
 

Related Threads for: Does convergence imply asymptotic relation

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
3
Views
2K
Replies
1
Views
629
Replies
3
Views
3K
Top