scholarly journals Three-Term Linear Fractional Nabla Difference Equation

2018 ◽  
Vol Volume-2 (Issue-3) ◽  
pp. 594-600
Author(s):  
G. Pushpalatha ◽  
R. Ranjitha ◽  
Author(s):  
V. N. Singh

AbstractSolutions of a homogeneous (r + 1)-term linear difference equation are given in two different forms. One involves the elements of a certain matrix, while the other is in terms of certain lower Hessenberg determinants. The results generalize some earlier results of Brown [1] for the solution of a 3-term linear difference equation.


2015 ◽  
Vol 63 (1) ◽  
pp. 283-290
Author(s):  
Petr Tomášek

Abstract The paper introduces an efficient form of necessary and sufficient conditions for a special full term linear difference equation with two real parameters to be asymptotically stable. The result is obtained utilizing the Schur Cohn criterion. The asymptotic stability region in the parameters plane is also illustrated in the paper.


2020 ◽  
Vol 9 (7) ◽  
pp. 4945-4954
Author(s):  
J. Leo Amalraj ◽  
M. Maria Susai Manuel ◽  
D. S. Dilip ◽  
P. Venkata Mohan Reddy
Keyword(s):  

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