Lyapunov-type inequality for a class of even-order linear differential equations

2014 ◽  
Vol 245 ◽  
pp. 145-151 ◽  
Author(s):  
Xiaojing Yang ◽  
Yong-In Kim ◽  
Kueiming Lo
Keyword(s):  
Differential Equations ◽  
Type Inequality ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Even Order ◽  
Linear Differential ◽  
Lyapunov Type Inequality

scholarly journals Lyapunov-type inequality for third-order half-linear differential equations

2013 ◽  
Vol 44 (4) ◽  
pp. 351-357 ◽  
Author(s):  
Jozef Kiselak
Keyword(s):  
Differential Equations ◽  
Type Inequality ◽  
Linear Differential Equations ◽  
Third Order ◽  
Linear Differential ◽  
Lyapunov Type Inequality

In this paper, we give a proof of a Lyapunov-type inequality for third-order half-linear differential equations. Then some applications, e.g.~the distance between consecutive zeros of a solution, are studied with the help of the inequality.

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