A criterion for oscillations in the solutions of the polytropic Lane-Emden equations

A criterion for oscillations in the solutions of the polytropic Lane-Emden equations

Abstract We have previously formulated a simple criterion for deducing the intervals of oscillations in the solutions of second-order linear homogeneous differential equations. In this work, we extend analytically the same criterion to superlinear Lane-Emden equations with integer polytropic indices...

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Bibliographic Details
Main Authors: Dimitris M Christodoulou, Qutaibeh D Katatbeh, James Graham-Eagle
Format: Article
Language:English
Published: SpringerOpen 2016-06-01
Series:Journal of Inequalities and Applications
Subjects:
oscillations
nonlinear differential equations
analytical theory
transformations
Lane-Emden differential equations
Online Access:http://link.springer.com/article/10.1186/s13660-016-1086-0

Internet

http://link.springer.com/article/10.1186/s13660-016-1086-0

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