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Article . 2023 . Peer-reviewed
License: CC BY
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Dynamics
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Dynamics
Article . 2023
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On Solutions of the Third-Order Ordinary Differential Equations of Emden-Fowler Type

Authors: Felix Sadyrbaev;

On Solutions of the Third-Order Ordinary Differential Equations of Emden-Fowler Type

Abstract

For a linear ordinary differential equation (ODE in short) of the third order, results are presented that supplement the theory of conjugate points and extremal solutions by W. Leighton, Z. Nehari, M. Hanan. It is especially noted the sensitivity of solutions to the initial data, which makes their numerical study difficult. Similar results were obtained for the third-order nonlinear equations of the Emden-Fowler type.

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Keywords

conjugate points, extremal solutions, ordinary differential equations, Thermodynamics, QD415-436, QC310.15-319, linear equations, Biochemistry, third order equations, Emden-Fowler type equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold