Qualitative properties of solutions of certain fourth order linear differential equations

This work considers differential equations of the form (py″)′​′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often aris...

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Bibliographic Details
Main Author: W. E. Taylor
Format: Article
Language:English
Published: Wiley 1981-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171281000598
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Summary:This work considers differential equations of the form (py″)′​′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often arises in the study of mechanical vibrations.
ISSN:0161-1712
1687-0425