Rate of growth and boundedness of solutions of second-order differential equations with periodic coefficients

1968 ◽  
pp. 181-214
Author(s):  
T. M. Karaseva
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Boundedness Of Solutions ◽  
Periodic Coefficients ◽  
Second Order Differential Equations ◽  
Rate Of Growth

scholarly journals Boundedness of Solutions for Second Order Differential Equations

2020 ◽  
Vol 12 (4) ◽  
pp. 58
Author(s):  
Daniel C. Biles
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Boundedness Of Solutions ◽  
Second Order Differential Equations ◽  
All Solutions ◽  
Non Linear ◽  
Linear Differential

We present new theorems which specify sufficient conditions for the boundedness of all solutions for second order non-linear differential equations. Unboundedness of solutions is also considered.

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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