EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Author proves a general theorem which illustrates the method used to prove the existence of a solution, and points out that this theorem is applicable to a class of two-point boundary value problems and then shows how the results can be shaprened for a subclass of two- point boundary value problems for which the location of the maximum value of the solutions is known a priori. An example is given illustrating how the method may be applied to predict the existence of three solutions of a certain boundary value problem.

Original languageEnglish (US)
Pages (from-to)389-400
Number of pages12
JournalSIAM Journal on Applied Mathematics
Volume18
Issue number2
StatePublished - Mar 1970
Externally publishedYes

Fingerprint

Multiple Solutions
Two-point Boundary Value Problem
Nonlinear equations
Boundary value problems
Nonlinear Equations
Three Solutions
Theorem
Boundary Value Problem
Predict
Class

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS. / Laetsch, Theodore W.

In: SIAM Journal on Applied Mathematics, Vol. 18, No. 2, 03.1970, p. 389-400.

Research output: Contribution to journalArticle

@article{d42b711a3e7f4392b271d60bf697970f,
title = "EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS",
abstract = "Author proves a general theorem which illustrates the method used to prove the existence of a solution, and points out that this theorem is applicable to a class of two-point boundary value problems and then shows how the results can be shaprened for a subclass of two- point boundary value problems for which the location of the maximum value of the solutions is known a priori. An example is given illustrating how the method may be applied to predict the existence of three solutions of a certain boundary value problem.",
author = "Laetsch, {Theodore W}",
year = "1970",
month = "3",
language = "English (US)",
volume = "18",
pages = "389--400",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "2",

}

TY - JOUR

T1 - EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS

AU - Laetsch, Theodore W

PY - 1970/3

Y1 - 1970/3

N2 - Author proves a general theorem which illustrates the method used to prove the existence of a solution, and points out that this theorem is applicable to a class of two-point boundary value problems and then shows how the results can be shaprened for a subclass of two- point boundary value problems for which the location of the maximum value of the solutions is known a priori. An example is given illustrating how the method may be applied to predict the existence of three solutions of a certain boundary value problem.

AB - Author proves a general theorem which illustrates the method used to prove the existence of a solution, and points out that this theorem is applicable to a class of two-point boundary value problems and then shows how the results can be shaprened for a subclass of two- point boundary value problems for which the location of the maximum value of the solutions is known a priori. An example is given illustrating how the method may be applied to predict the existence of three solutions of a certain boundary value problem.

UR - http://www.scopus.com/inward/record.url?scp=0014751842&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0014751842&partnerID=8YFLogxK

M3 - Article

VL - 18

SP - 389

EP - 400

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 2

ER -