Advances in Applied Mathematics by Ali R. Ansari

Author:Ali R. Ansari
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

and for x ∈ [1,2]

Proof.

For x ∈ [0, 1], the bounds for are the same as in [7]. For x ∈ (1, 2],

or

which implies

Construct the barrier function

Similarly, for sufficiently large C 1. Also, Hence by maximum principle for the operator (in [7]), we have    x ∈ [1, 2]. Hence for x ∈ [1, 2],

From the defining equation for w 1,

Thus, Similarly for the singular component w 2(x),

To obtain parameter uniform convergence of the method, we require sharper estimates for the derivatives of

To find sharper estimates of w 1 ′ (x), consider the equation

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.