Vol. 30, No. 1, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Vol. 317: 1  2
Vol. 316: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Singular perturbation of linear partial differential equation with constant coefficients

Hussain Sayid Nur

Vol. 30 (1969), No. 1, 187–199
Abstract

Let Pj(z,𝜖) be a polynomial in z and 𝜖 with complex coefficients, where z is in Em and 𝜖 > 0 is a small parameter. Let L𝜖 = j=0lPlj(x,𝜖)(δt)g be a polynomial in δtx and 𝜖, which is not divisible by the square of a similar nonconstant polynomial. We shall assume that P0(z,𝜖) = 𝜖 and P1(z) is independent of 𝜖.

In this paper we shall show that under certain conditions the solution u8(t,x) of L𝜖(u) = f𝜖(t,x) converges to the solution u0(t,x) of L0(u) = f0(t,x).

Mathematical Subject Classification
Primary: 35.14
Milestones
Received: 13 April 1967
Revised: 27 September 1968
Published: 1 July 1969
Authors
Hussain Sayid Nur