scholarly journals Asymptotic analyses of two fourth order linear differential equations

1980 ◽  
Vol 38 (2) ◽  
pp. 109-119
Author(s):  
David Lowell Lovelady
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linear Differential ◽  
Asymptotic Analyses

scholarly journals Qualitative properties of solutions of certain fourth order linear differential equations

1981 ◽  
Vol 4 (4) ◽  
pp. 763-774 ◽  
Author(s):  
W. E. Taylor
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Fourth Order ◽  
Continuous Functions ◽  
Linear Differential Equations ◽  
Qualitative Properties ◽  
Mechanical Vibrations ◽  
Order Linear ◽  
Linear Differential ◽  
Qualitative Properties Of Solutions

This work considers differential equations of the form(py″)′​′+qy″+ry=0wherep,qandrare 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.

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