SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.

Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3])....

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Format: Article
Language:English
Published: University of Tehran 2000-06-01
Series:Journal of Sciences, Islamic Republic of Iran
Online Access:https://jsciences.ut.ac.ir/article_31859_75d45959e29723fc6e83a86bbaf9c9ab.pdf
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collection DOAJ
description Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.
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institution DOAJ
issn 1016-1104
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language English
publishDate 2000-06-01
publisher University of Tehran
record_format Article
series Journal of Sciences, Islamic Republic of Iran
spelling doaj-art-e2bfdbaf2f134094819347bb9b82cdfb2025-08-20T03:13:36ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142000-06-0111231859SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.https://jsciences.ut.ac.ir/article_31859_75d45959e29723fc6e83a86bbaf9c9ab.pdf
spellingShingle SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.
Journal of Sciences, Islamic Republic of Iran
title SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.
title_full SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.
title_fullStr SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.
title_full_unstemmed SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.
title_short SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.
title_sort some boundary value problems for a non linear third order o d e
url https://jsciences.ut.ac.ir/article_31859_75d45959e29723fc6e83a86bbaf9c9ab.pdf