International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 763-774
doi:10.1155/S0161171281000598
Qualitative properties of solutions of certain fourth order linear differential equations
Department of General Academics, Texas A & M at Galveston, Galveston 77553, Texas, USA
Received 23 January 1980
Copyright © 1981 W. E. Taylor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.