Singular perturbations and differential inequalities

Singular perturbations and differential inequalities

by Howes, Frederick A.

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The author discusses the singularly perturbed second-order boundary value problem [lowercase Greek]Epsilon [italic]y′′ = [italic]f([italic]t,[italic]y,[italic]y′, [lowercase Greek]Epsilon), by means of several second-order differential inequality theorems. This article not only gives a unified presentation of much of the body of results on this boundary value problem obtained in the last twenty years or so, but contains very considerable improvements involving less demanding conditions (sometim…

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Title Statements

  • Full title :Singular perturbations and differential inequalities / Frederick A. Howes.

Summary

The author discusses the singularly perturbed second-order boundary value problem [lowercase Greek]Epsilon [italic]y′′ = [italic]f([italic]t,[italic]y,[italic]y′, [lowercase Greek]Epsilon), by means of several second-order differential inequality theorems. This article not only gives a unified presentation of much of the body of results on this boundary value problem obtained in the last twenty years or so, but contains very considerable improvements involving less demanding conditions (sometimes leading to weaker results) in some cases, more precise results (sometimes under more severe restrictions) in other cases, and a more thorough investigation of the general boundary conditions. Some potential extensions to transition point problems and the like are indicated (but not carried out in detail) in the last section.

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Edition Statements

  • Publication Date:©1976.

Publication Statements

Notes

"Volume 5, issue 1."

"CODEN: MAMCAU."

The Physical Object

  • Description:iv, 75 pages ; : 26 cm.

Edition Identifiers

  • ISBN:0821818686, 9780821818688
  • oclc:ocm01976817
  • LC Classification:QA3
  • Dewey Decimal:510/.8 s

Subjects

Writers

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