Applications of Change of Variables in the Qualitative Theory of Second Order Linear Ordinary Differential Equations

This paper illustrates the systematic use of a simple change of variable formula to extend existing results on boundedness and stability of solutions to ordinary differential equations of second order. This approach can also be used on oscillation criteria and other qualitative properties.

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Bibliographische Detailangaben
Veröffentlicht in:	SIAM review 1976-04, Vol.18 (2), p.269-274
1. Verfasser:	Macki, Jack W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Infinity Linear ordinary differential equations Mathematical functions Ordinary differential equations Sine function Sufficient conditions Variables
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	This paper illustrates the systematic use of a simple change of variable formula to extend existing results on boundedness and stability of solutions to ordinary differential equations of second order. This approach can also be used on oscillation criteria and other qualitative properties.
ISSN:	0036-1445 1095-7200
DOI:	10.1137/1018043