Non‐oscillation of linear and half‐linear differential equations with unbounded coefficients

2020 ◽  
Vol 44 (2) ◽  
pp. 1285-1297
Author(s):  
Jiřina Šišoláková
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Unbounded Coefficients ◽  
Linear Differential

Conditional oscillation of Euler type half-linear differential equations with unbounded coefficients

2016 ◽  
Vol 53 (1) ◽  
pp. 22-41
Author(s):  
Jaroslav Jaroš ◽  
Michal Veselý
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Oscillation Criterion ◽  
Linear Differential Equations ◽  
Unbounded Coefficients ◽  
Conditional Oscillation ◽  
Linear Differential ◽  
Oscillation Constant ◽  
Oscillatory Properties

The oscillatory properties of half-linear second order Euler type differential equations are studied, where the coefficients of the considered equations can be unbounded. For these equations, we prove an oscillation criterion and a non-oscillation one. We also mention a corollary which shows how our criteria improve the known results. In the corollary, the criteria give an explicit oscillation constant.

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