Rearrangements of the coefficients of ordinary differential equations

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We establish extremal values of a solution y of a second-order initial value problem as the coefficients vary in a nonconvex set. These results extend earlier work by M. Essen in particular by allowing a coefficient in the second derivative expression.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalJournal of Inequalities in Pure and Applied Mathematics
Volume5
Issue number4
Publication statusPublished - Aug 4 2004

Fingerprint

Initial value problems
Rearrangement
Ordinary differential equations
Ordinary differential equation
Derivatives
Coefficient
Second derivative
Initial Value Problem
Vary

Keywords

  • Extremal couples
  • Nonconvex set
  • Rearrangements

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Rearrangements of the coefficients of ordinary differential equations. / Karaa, Samir.

In: Journal of Inequalities in Pure and Applied Mathematics, Vol. 5, No. 4, 04.08.2004, p. 1-12.

Research output: Contribution to journalArticle

@article{a94031ae42a34eb38161029f626c8d10,
title = "Rearrangements of the coefficients of ordinary differential equations",
abstract = "We establish extremal values of a solution y of a second-order initial value problem as the coefficients vary in a nonconvex set. These results extend earlier work by M. Essen in particular by allowing a coefficient in the second derivative expression.",
keywords = "Extremal couples, Nonconvex set, Rearrangements",
author = "Samir Karaa",
year = "2004",
month = "8",
day = "4",
language = "English",
volume = "5",
pages = "1--12",
journal = "Journal of Inequalities in Pure and Applied Mathematics",
issn = "1443-5756",
publisher = "Victoria University of Technology",
number = "4",

}

TY - JOUR

T1 - Rearrangements of the coefficients of ordinary differential equations

AU - Karaa, Samir

PY - 2004/8/4

Y1 - 2004/8/4

N2 - We establish extremal values of a solution y of a second-order initial value problem as the coefficients vary in a nonconvex set. These results extend earlier work by M. Essen in particular by allowing a coefficient in the second derivative expression.

AB - We establish extremal values of a solution y of a second-order initial value problem as the coefficients vary in a nonconvex set. These results extend earlier work by M. Essen in particular by allowing a coefficient in the second derivative expression.

KW - Extremal couples

KW - Nonconvex set

KW - Rearrangements

UR - http://www.scopus.com/inward/record.url?scp=4644342997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4644342997&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:4644342997

VL - 5

SP - 1

EP - 12

JO - Journal of Inequalities in Pure and Applied Mathematics

JF - Journal of Inequalities in Pure and Applied Mathematics

SN - 1443-5756

IS - 4

ER -