scholarly journals Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

2018 ◽  
Vol 16 (1) ◽  
pp. 75-82 ◽  
Author(s):  
A.M. Encinas ◽  
M.J. Jiménez
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Bounded Solutions ◽  
Linear Difference Equations ◽  
Periodic Coefficients ◽  
Order Linear ◽  
Mathieu Equations

AbstractIn this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu equations as particular cases.

Oscillatory Second Order Linear Difference Equations and Riccati Equations

1987 ◽  
Vol 18 (1) ◽  
pp. 54-63 ◽  
Author(s):  
John W. Hooker ◽  
Man Kam Kwong ◽  
William T. Patula
Keyword(s):  
Difference Equations ◽  
Riccati Equations ◽  
Second Order ◽  
Linear Difference Equations ◽  
Order Linear
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