Remarks on the uniqueness of second order ODEs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10104782" target="_blank" >RIV/00216208:11320/11:10104782 - isvavai.cz</a>

Result on the web

<a href="http://am.math.cas.cz/am56-1/" target="_blank" >http://am.math.cas.cz/am56-1/</a>

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Remarks on the uniqueness of second order ODEs

Original language description

We are concerned with the uniqueness problem for solutions to the second order ODE of the form $x''+f(x,t)=0$, under the sole assumption that $f$ is non-decreasing with respect to $x$, for each $t$ fixed. We show that there is non-uniqueness in general;on the other hand, several types of reasonable additional assumptions yield the problem uniquely solvable.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Volume of the periodical

56

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

12

Pages from-to

161-172

UT code for WoS article

—

EID of the result in the Scopus database

—