Irregular second-order differential equations with almost-periodic coefficients

1987 ◽  
Vol 41 (2) ◽  
pp. 116-118 ◽  
Author(s):  
V. M. Koltyzhenkov
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Almost Periodic ◽  
Periodic Coefficients ◽  
Second Order Differential Equations

scholarly journals Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

2017 ◽  
Vol 15 (1) ◽  
pp. 548-561 ◽  
Author(s):  
Adil Misir ◽  
Banu Mermerkaya
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Common Multiple ◽  
Periodic Coefficients ◽  
Least Common Multiple ◽  
Second Order Differential Equations ◽  
Positive Coefficients ◽  
Oscillation Constant ◽  
Oscillation And Nonoscillation

Abstract In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α—periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.

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