Differential equations with fixed critical points

Summary The object of this paper is to determine all the differential equations of the form$$\ddot y = R\left( {\dot y,y,x} \right)$$ where R is a rational function of .y and y, with analytic coefficients in x, whose general integral has no parametric critical points.

Gespeichert in:

Autor*in:	Bureau, F. J. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1964

Schlagwörter:	Differential Equation Rational Function Analytic Coefficient Parametric Critical Point Fixed Critical Point

Anmerkung:	© Nicola Zanichelli Editore 1964

Übergeordnetes Werk:	Enthalten in: Annali di matematica pura ed applicata - Springer-Verlag, 1858, 64(1964), 1 vom: Dez., Seite 229-364
Übergeordnetes Werk:	volume:64 ; year:1964 ; number:1 ; month:12 ; pages:229-364

Links:	Volltext

DOI / URN:	10.1007/BF02410054

Katalog-ID:	OLC2058831551

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650		4	\|a Differential Equation
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title_sort	differential equations with fixed critical points
title_auth	Differential equations with fixed critical points
abstract	Summary The object of this paper is to determine all the differential equations of the form$$\ddot y = R\left( {\dot y,y,x} \right)$$ where R is a rational function of .y and y, with analytic coefficients in x, whose general integral has no parametric critical points. © Nicola Zanichelli Editore 1964
abstractGer	Summary The object of this paper is to determine all the differential equations of the form$$\ddot y = R\left( {\dot y,y,x} \right)$$ where R is a rational function of .y and y, with analytic coefficients in x, whose general integral has no parametric critical points. © Nicola Zanichelli Editore 1964
abstract_unstemmed	Summary The object of this paper is to determine all the differential equations of the form$$\ddot y = R\left( {\dot y,y,x} \right)$$ where R is a rational function of .y and y, with analytic coefficients in x, whose general integral has no parametric critical points. © Nicola Zanichelli Editore 1964
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container_issue	1
title_short	Differential equations with fixed critical points
url	https://doi.org/10.1007/BF02410054
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doi_str	10.1007/BF02410054
up_date	2024-07-03T20:25:30.828Z
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