Publication:
Boundary value application of a one-dimensional maximum principle.

Loading...
Thumbnail Image
Authors
Jones, James Dale
Subjects
second order boundary value approximation
differential equation maximum principle application
Advisors
Hunt, Robert W.
Date of Issue
1969-06
Date
June 1969
Publisher
Monterey, California. U.S. Naval Postgraduate School
Language
en_US
Abstract
The problem considered is the application of a one -dimensional maximum principle to second order, linear differential equations of the form u'' + g(x)u' + h(x)u = f(x) for a < x < b with associated general boundary conditions to obtain functions z₁(x) and z₂(x) such that z₂(x) ≤ u(x) ≤ z₁(x) on [a,b]. The functions f,g and h are assumed to be bounded. We wish to determine the behavior of the solution u(x) on [a,b] and also to obtain reliable numerical estimates of u. The basic concepts in the theoretical background are expanded versions of a presentation in Protter and Weinberger [Ref. 4].
Type
Thesis
Description
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Collections